50 Most Expected Simple Interest & Compound Interest Questions for AFCAT 2026 with Shortcut Tricks


50 Most Expected SI & CI Questions with Shortcut Tricks

Important Formulas

Simple Interest  

  • SI = (Principal × Rate × Time) ÷ 100
  • Amount = Principal + Simple Interest

Compound Interest

  • Amount = Principal × (1 + Rate/100)^Time
  • Compound Interest = Amount − Principal

AFCAT Shortcut Tricks

  • Trick 1 - Difference between two SI amounts

One Year Interest = Difference ÷ Difference in Years

  • Trick 2 - For 2 Years

CI − SI = Principal × Rate² ÷ 10000

  • Trick 3

  • Money Doubles
  • If money doubles in x years
  • Then it becomes triple in 2x years (Simple Interest)

Multipliers to Remember

Rate 2 Years Multiplier
5% 1.1025
10% 1.21
20% 1.44
25% 1.5625
50% 2.25

Question 1

A sum of ₹8,000 is invested at 10% simple interest for 3 years. Find the interest earned.

  • A. ₹2,000
  • B. ₹2,200
  • C. ₹2,400
  • D. ₹2,600

AnswerC. ₹2,400

Solution: SI = (8000 ×10×3)/100 = ₹2,400

Shortcut

  • 10% of ₹8,000 = ₹800
  • 3 years = 800 ×3 = ₹2,400

Question 2

A person invested ₹12,000 at 8% simple interest for 5 years. Find the amount received.

  • A. ₹16,200
  • B. ₹16,800
  • C. ₹17,000
  • D. ₹17,400

AnswerB. ₹16,800

Solution: Interest =(12000×8×5)/100 =₹4,800

Amount: 12000+4800 =₹16,800

Shortcut

  • 8% of ₹12,000 =₹960
  • 5 years 960×5 =₹4,800
  • Add Principal =₹16,800

Question 3

A sum becomes ₹15,600 in 4 years and ₹17,200 in 8 years at simple interest. Find the principal.

  • A. ₹14,000
  • B. ₹14,400
  • C. ₹15,000
  • D. ₹15,600

AnswerA. ₹14,000

Solution

  • Difference: 17200−15600 =1600
  • 4 years interest: 1600
  • One year interest: 1600÷4 =400
  • 4 years interest: 400×4 =1600
  • Principal: 15600−1600 =₹14,000

Shortcut

  • Difference ÷ Year Difference
  • Always gives One Year Interest.

Question 4

A sum of ₹20,000 is invested at 12% simple interest. Find the interest after 5 years.

  • A. ₹10,000
  • B. ₹11,000
  • C. ₹12,000
  • D. ₹13,000

Answer - C. ₹12,000

Solution

  • Interest =(20000×12×5)/100 =₹12,000

Shortcut

  • 12×5=60% Interest =60% of ₹20,000 =₹12,000

Question 5

At what rate of simple interest will ₹10,000 earn ₹3,000 in 5 years?

  • A. 4%
  • B. 5%
  • C. 6%
  • D. 8%

AnswerC. 6%

Solution

  • Rate =(3000×100)/(10000×5) =6%

Shortcut

  • 3000 is 30% of 10000
  • 30% in 5 years
  • 30÷5 =6%

AFCAT Exam Tip (Questions 1–5)

Whenever you see:

  • Difference between two amounts
  • Amount after several years
  • Interest for multiple years

First calculate the yearly interest.

  • This reduces 70% of the calculation instantly.

Question 6

A sum becomes ₹24,200 in 2 years at 10% compound interest. Find the principal.

  • A. ₹20,000
  • B. ₹20,500
  • C. ₹21,000
  • D. ₹22,000

Answer - A. ₹20,000

Solution

  • Multiplier for 10% (2 years) =1.21
  • Principal: 24200÷1.21 =₹20,000

Shortcut

  • Memorize: 10% for 2 years
  • Multiplier = 1.21

Question 7

A sum of ₹15,000 is invested at 20% compound interest for 2 years. Find the amount.

  • A. ₹20,600
  • B. ₹21,000
  • C. ₹21,600
  • D. ₹22,000

Answer - C. ₹21,600

Solution

  • Multiplier: 1.44
  • Amount: 15000×1.44 =₹21,600

Shortcut

  • 20% for 2 years
  • Always multiply by 1.44

Question 8

Difference between SI and CI for 2 years at 10% is ₹120. Find the principal.

  • A. ₹10,000
  • B. ₹11,000
  • C. ₹12,000
  • D. ₹13,000

Answer - C. ₹12,000

Solution

  • Formula: CI−SI =P×10²/10000
  • 120=P×100/10000
  • 120=P/100
  • P=₹12,000

Shortcut

  • For 2 years, directly use:
  • Difference = P × R² ÷ 10000

Question 9

A sum doubles in 10 years at simple interest. In how many years will it become three times?

  • A. 15
  • B. 18
  • C. 20
  • D. 25

Answer - C. 20 years

Solution

Doubling means

  • Interest=100%
  • 10 years=100%

Triple means

  • Interest=200%
  • 200%=20 years

Shortcut

  • Money doubles in x years ⇒ triples in 2x years (SI only).

Question 10

A sum becomes ₹9,680 in 2 years at 10% compound interest. Find the compound interest earned.

  • A. ₹1,480
  • B. ₹1,680
  • C. ₹1,880
  • D. ₹2,080

Answer - B. ₹1,680

Solution

  • Principal: 9680÷1.21 =₹8,000
  • Compound Interest: 9680−8000 =₹1,680

Shortcut

  • First find the Principal using the multiplier, then subtract it from the Amount.

AFCAT Shortcut

  • If the Rate and Time are known, don't always use the formula first.
  • Think like this: Interest = Principal × Total Percentage
  • This saves a lot of calculation.

Question 11

A sum of ₹25,000 is invested at 8% simple interest for 4 years. Find the amount.

  • A. ₹32,000
  • B. ₹33,000
  • C. ₹34,000
  • D. ₹35,000

Answer B. ₹33,000

Solution

  • Interest =(25000×8×4)/100 =₹8,000
  • Amount: 25000+8000 =₹33,000

Shortcut

  • 8×4=32%, 32% of ₹25,000 =₹8,000

Question 12

A sum amounts to ₹18,150 after 2 years at 10% compound interest. Find the principal.

  • A. ₹15,000
  • B. ₹15,500
  • C. ₹16,000
  • D. ₹16,500

Answer A. ₹15,000

Solution

  • Multiplier (10%, 2 years) =1.21
  • Principal: 18150÷1.21 =₹15,000

Shortcut

  • Whenever you see: 10%, 2 Years
  • Immediately remember
  • Multiplier =1.21

Question 13

The difference between SI and CI on a sum for 2 years at 20% is ₹400. Find the principal.

  • A. ₹8,000
  • B. ₹9,000
  • C. ₹10,000
  • D. ₹11,000

Answer: C. ₹10,000

Solution

  • Difference =P×20²/10000
  • 400=P×400/10000
  • 400=P/25
  • P=₹10,000

Shortcut

  • At 20% Difference becomes Principal ×4%, 400 means 4% Therefore, Principal 400×25 =₹10,000

Question 14

A sum becomes ₹16,000 in 5 years and ₹18,000 in 10 years at simple interest. Find the principal.

  • A. ₹14,000
  • B. ₹13,500
  • C. ₹12,000
  • D. ₹15,000

Answer - A. ₹14,000

Solution

  • Difference: 18000−16000 =₹2,000. This is 5 years interest.
  • One year interest: 2000÷5 =₹400
  • Interest for first 5 years: 400×5 =₹2,000
  • Principal: 16000−2000 =₹14,000

Shortcut

  • Difference ÷ Time Difference. Always gives 1 Year Interest

Question 15

At what rate of simple interest will ₹15,000 become ₹19,500 in 6 years?

  • A. 4%
  • B. 5%
  • C. 6%
  • D. 7%

AnswerB. 5%

Solution

  • Interest: 19500−15000 =₹4,500
  • Rate =(4500×100)/(15000×6) =5%

Shortcut

  • Interest 4500 is 30%
  • 30% in 6 years, 30÷6 =5%

AFCAT Smart Trick (Questions 11–15)

Whenever the principal and amount are given:

  • Find Interest first.
  • Convert Interest into Percentage.
  • Divide by Years.

This avoids long formulas.

Question 16

A sum of ₹18,000 is invested at 20% compound interest for 2 years. Find the amount.

  • A. ₹24,920
  • B. ₹25,000
  • C. ₹25,920
  • D. ₹26,000

Answer C. ₹25,920

Solution

  • Multiplier 1.44
  • Amount: 18000×1.44 =₹25,920

 Shortcut

  • 20%, 2 years Multiply directly by 1.44

Question 17

A sum doubles itself in 12 years at simple interest. How many years will it take to become 2.5 times?

  • A. 16 years
  • B. 18 years
  • C. 20 years
  • D. 24 years

Answer - B. 18 years

Solution

  • Doubling means
  • Interest 100%, 12 years. Therefore 1 year =8.33%
  • To become 2.5 times
  • Interest 150%, 150% takes 18 years

Shortcut

  • Formula:  Years Required =(Required Interest ÷100)×Doubling Time
  • =(150÷100)×12
  • =18 years

Question 18

A sum becomes ₹29,040 in 2 years at 10% compound interest. Find the compound interest earned.

  • A. ₹4,840
  • B. ₹5,040
  • C. ₹5,240
  • D. ₹5,440

Answer: B. ₹5,040

Solution

  • Principal: 29040÷1.21 =₹24,000
  • Compound Interest: 29040−24000 =₹5,040

Shortcut

  • Always verify: CI = Amount − Principal

Question 19

The simple interest on a sum at 15% per annum for 4 years is ₹7,200. Find the principal.

  • A. ₹10,000
  • B. ₹11,000
  • C. ₹12,000
  • D. ₹12,500

Answer C. ₹12,000

Solution

  • SI =(P×15×4)/100
  • 7200=P×60/100
  • 7200=P×0.6
  • P=₹12,000

Shortcut

  • 15×4=60%
  • Interest =60% of Principal, 7200÷0.6 =₹12,000

Question 20

A sum invested at 10% compound interest becomes ₹13,310 after 3 years. Find the principal.

  • A. ₹9,000
  • B. ₹10,000
  • C. ₹11,000
  • D. ₹12,000

Answer - B. ₹10,000

Solution

  • For 10% and 3 years,
  • Multiplier =1.331
  • Principal: 13310÷1.331 =₹10,000

Shortcut

Remember these multipliers:

Rate 3 Years Multiplier
10% 1.331
20% 1.728
5% 1.157625
25% 1.953125

AFCAT Magic Shortcut

If Principal Doubles in "x" Years

Money BecomesRequired Time
2 Timesx Years
3 Times2x Years
4 Times3x Years
5 Times4x Years

(Applicable only for Simple Interest)

Question 21

A sum becomes ₹21,600 in 3 years at 20% Compound Interest. Find the Principal.

  • A. ₹12,000
  • B. ₹12,500
  • C. ₹13,000
  • D. ₹15,000

Answer: B. ₹12,500

Solution

  • Multiplier (20%, 3 years) = 1.20³ = 1.728
  • Principal =21600÷1.728 =₹12,500

Shortcut

  • Remember: 20% for 3 years = 1.728

Question 22

The Simple Interest on a sum is ₹5,400 for 6 years at 9% per annum. Find the Principal.

  • A. ₹9,000
  • B. ₹10,000
  • C. ₹11,000
  • D. ₹12,000

Answer: B. ₹10,000

Solution

  • SI =(P×9×6)/100
  • 5400=P×54/100
  • 5400=P×0.54
  • P=₹10,000

Shortcut

  • 9×6 =54%
  • Interest is 54%
  • Principal:  5400÷0.54 =₹10,000

Question 23

A sum becomes ₹14,520 after 2 years at 10% Compound Interest. Find the Compound Interest.

  • A. ₹2,320
  • B. ₹2,420
  • C. ₹2,520
  • D. ₹2,620

Answer - B. ₹2,520

Solution

  • Principal: 14520÷1.21 =₹12,000
  • CI: 14520−12000 =₹2,520

Shortcut

  • Always divide Amount by 1.21 first.

Question 24

A sum becomes ₹8,400 in 4 years and ₹9,600 in 8 years at Simple Interest. Find the Principal.

  • A. ₹7,000
  • B. ₹7,200
  • C. ₹7,400
  • D. ₹7,600

Answer: B. ₹7,200

Solution

  • Difference: 9600−8400 =₹1200 4 years Interest
  • One year Interest: 1200÷4 =₹300
  • Interest for first 4 years: 300×4 =₹1200
  • Principal: 8400−1200 =₹7200

Shortcut

  • Difference ÷ Year Difference = One Year Interest

Question 25

At what rate of Simple Interest will ₹18,000 become ₹24,300 in 7 years?

  • A. 4%
  • B. 5%
  • C. 6%
  • D. 7%

Answer - B. 5%

Solution

  • Interest: 24300−18000 =₹6,300
  • Interest %6300÷18000×100=35%
  • 35% for 7 years, 35÷7 =5%

Shortcut

  • Interest % ÷ Years = Rate

AFCAT Shortcut (Questions 21–25)

Whenever Amount and Principal are given:

  • Find Interest.
  • Convert into Percentage.
  • Divide by Time.

No lengthy formula needed.

Question 26

A sum of ₹30,000 is invested at 12% Compound Interest for 2 years. Find the Amount.

  • A. ₹37,432
  • B. ₹37,500
  • C. ₹37,632
  • D. ₹38,000

Answer: C. ₹37,632

Solution

  • Multiplier 1.12² =1.2544
  • Amount: 30000×1.2544 =₹37,632

Shortcut

  • Remember: 12% for 2 years = 1.2544
Question 27

Money doubles in 15 years at Simple Interest. How long will it take to become 4 times?

  • A. 30 years
  • B. 40 years
  • C. 45 years
  • D. 60 years

AnswerC. 45 years

Solution

  • Double =100% Interest
  • 15 years Four times =300% Interest
  • 300% takes 45 years

Shortcut

  • Four Times =3× Doubling Time, 15×3 =45

Question 28

Difference between SI and CI for 2 years at 15% is ₹270. Find the Principal.

  • A. ₹10,000
  • B. ₹11,000
  • C. ₹12,000
  • D. ₹13,000

AnswerC. ₹12,000

Solution

  • Difference =P×15²/10000
  • 270=P×225/10000
  • P=270×10000÷225 =₹12,000

Shortcut

  • For 2 years: CI − SI = P × R² / 10000

Question 29

A sum amounts to ₹10,648 after 2 years at 10% Compound Interest. Find the Principal.

  • A. ₹8,600
  • B. ₹8,700
  • C. ₹8,800
  • D. ₹8,900
  • Principal: 10648÷1.21 =₹8,800
  • Correct AnswerC. ₹8,800

Shortcut

  • Whenever you see 10% for 2 years, divide by 1.21.

Question 30

A person borrowed ₹16,000 at 15% Simple Interest for 4 years. How much total Amount must he repay?

  • A. ₹24,600
  • B. ₹25,000
  • C. ₹25,600
  • D. ₹26,000

Answer - C. ₹25,600

Solution

  • Interest =(16000×15×4)/100 =₹9,600
  • Amount: 16000+9600 =₹25,600

Shortcut

  • 15×4=60%
  • Interest =60% of ₹16,000 =₹9,600
  • Add Principal =₹25,600

AFCAT Smart Notes 

Rate2 Years3 Years
5%1.10251.157625
10%1.211.331
12%1.25441.404928
15%1.32251.520875
20%1.441.728
25%1.56251.953125

Question 31

A sum amounts to ₹36,300 after 2 years at 10% Compound Interest. Find the Principal.

  • A. ₹29,000
  • B. ₹30,000
  • C. ₹31,000
  • D. ₹32,000

Correct Answer: B. ₹30,000

Solution

  • Formula: Amount = Principal × (1.10)²
  • Multiplier = 1.21
  • Principal = 36,300 ÷ 1.21 = ₹30,000

Shortcut

For 10% CI (2 years)

  • Always remember
  • Multiplier = 1.21
  • Just divide the Amount by 1.21.
  • Time Required: 10–15 seconds 

Question 32

The difference between Compound Interest and Simple Interest for 2 years at 12% per annum is ₹288Find the Principal.


  • A. ₹18,000
  • B. ₹19,000
  • C. ₹20,000
  • D. ₹22,000

Correct Answer - C. ₹20,000

Solution

Formula

  • Difference = Principal × Rate² ÷ 10000
  • 288 = P × 144 ÷ 10000
  • P = 288 × 10000 ÷ 144 = ₹20,000

Shortcut

  • At 2 years Use only one formula:
  • CI − SI = P × R² ÷ 10000
  • No need to calculate SI and CI separately.

 Question 33

 A person invested ₹25,000 at 8% Simple InterestAfter 6 years, he withdrew the entire amount. Find the total Amount.


  • A. ₹36,000
  • B. ₹37,000
  • C. ₹38,000
  • D. ₹39,000

Correct AnswerB. ₹37,000

Solution

  • Interest = (25000 × 8 × 6) ÷100 = ₹12,000
  • Amount = 25,000 + 12,000 = ₹37,000

Shortcut

  • 8 × 6 = 48%
  • Interest = 48% of ₹25,000 = ₹12,000

No lengthy calculation needed.

Question 34

A sum doubles itself in 16 years at Simple Interest. How many years will it take to become 3.5 times the Principal?


  • A. 32 years
  • B. 36 years
  • C. 40 years
  • D. 48 years

Correct Answer - C. 40 years

Solution

  • If money doubles,
  • Interest = 100%
  • Time = 16 years
  • To become 3.5 times
  • Interest required = 250%
  • Time = 16 × 2.5 = 40 years

Shortcut

  • Required Time = Doubling Time × Required Interest % ÷100 = 16 × 250 ÷100 = 40 years
Question 35 

A sum becomes ₹19,965 after 3 years at 10% Compound Interest. Find the Compound Interest earned.

  • A. ₹4,565
  • B. ₹4,765
  • C. ₹4,965
  • D. ₹5,165

Correct Answer - C. ₹4,965

Solution

  • For 10%, 3 years multiplier = 1.331
  • Principal = 19,965 ÷ 1.331 = ₹15,000
  • Compound Interest = 19,965 − 15,000 = ₹4,965

Shortcut

  • Remember: 10%
  • 3 years Multiplier = 1.331
  • Directly divide the Amount by 1.331, then subtract from the Amount.

Question 36 

A sum of ₹20,000 is invested at 10% Compound Interest for the first year and 20% Compound Interest for the second year. Find the Amount after 2 years.

  • A. ₹26,000
  • B. ₹26,200
  • C. ₹26,400
  • D. ₹26,500

Correct Answer - C. ₹26,400

Solution

  • After 1st Year = 20,000 × 1.10 = ₹22,000
  • After 2nd Year = 22,000 × 1.20 = ₹26,400

Shortcut

  • When the rate changes every year,
  • Multiply the growth factors directly: ₹20,000 × 1.10 × 1.20 = ₹26,400

Question 37

A sum of ₹16,000 is invested at 10% per annum, compounded half-yearly for 1 year. Find the Amount.

  • A. ₹17,600
  • B. ₹17,620
  • C. ₹17,640
  • D. ₹17,660

Correct Answer - C. ₹17,640

Solution

  • Since compounding is half-yearly:
  • Rate per half-year = 5%
  • Number of periods = 2
  • Amount = 16,000 × (1.05)² = 16,000 × 1.1025 = ₹17,640

Shortcut

Whenever "Half-Yearly" appears:

  • Divide Rate by 2
  • Multiply Time by 2

Then use the normal CI formula.


Question 38 (Reverse Principal)

The Compound Interest earned in 2 years at 10% is ₹2,520. Find the Principal.

  • A. ₹10,000
  • B. ₹11,000
  • C. ₹12,000
  • D. ₹13,000

Correct Answer - C. ₹12,000

Solution

  • For 10% CI in 2 years,
  • Multiplier = 1.21
  • Amount = Principal + CI
  • If Principal = ₹12,000
  • Amount = 12,000 × 1.21 = ₹14,520
  • CI = ₹14,520 − ₹12,000 = ₹2,520
  • Hence, Principal = ₹12,000

Shortcut

Remember common CI values:

  • ₹10,000 → CI = ₹2,100
  • ₹12,000 → CI = ₹2,520
  • ₹20,000 → CI = ₹4,200

Question 39 (Simple Interest)

A person borrowed ₹18,000 at 15% Simple Interest for 5 years. Find the total Amount payable.

  • A. ₹30,500
  • B. ₹31,000
  • C. ₹31,500
  • D. ₹32,000

Correct Answer: B. ₹31,500

Solution

  • Interest = (18,000 × 15 × 5) ÷ 100 = ₹13,500
  • Amount = ₹18,000 + ₹13,500 = ₹31,500

Note: The options above contain a numbering typo. The mathematically correct amount is ₹31,500, which corresponds to Option C, not B.

Shortcut

  • 15 × 5 = 75%
  • Interest = 75% of ₹18,000 = ₹13,500

Question 40 

A sum becomes ₹26,620 after 2 years at 10% Compound Interest. Find the Principal.

  • A. ₹20,000
  • B. ₹21,000
  • C. ₹22,000
  • D. ₹23,000

Correct Answer - C. ₹22,000

Solution

  • Multiplier for 10% (2 years) = 1.21
  • Principal = 26,620 ÷ 1.21 = ₹22,000

Shortcut

  • Whenever the rate is 10% for 2 years:
  • Simply divide the Amount by 1.21.
  • No long calculation is required.

 AFCAT Master Shortcut Sheet


Common CI Multipliers

Rate1 Year2 Years3 Years
5%1.051.10251.157625
10%1.101.211.331
12%1.121.25441.404928
15%1.151.32251.520875
20%1.201.441.728
25%1.251.56251.953125

Exam Tricks

Trick 1

  • If the rate changes every year: Multiply the yearly growth factors.
  • Example: 10% then 20% = ×1.10 ×1.20

Trick 2

Half-Yearly Compounding

  • Rate ÷ 2
  • Time × 2

Trick 3

Quarterly Compounding

  • Rate ÷ 4
  • Time × 4

Trick 4

For SI

  • If you know: Principal, Interest
  • Then, Interest % = (Interest ÷ Principal) × 100
  • Finally, Rate = Interest % ÷ Time

Question 41

A sum of ₹18,000 is invested at 15% Compound Interest for 2 years. Find the Compound Interest earned.

  • A. ₹5,400
  • B. ₹5,805
  • C. ₹6,000
  • D. ₹6,210

Correct Answer - B. ₹5,805

Solution

  • Amount = 18,000 × (1.15)² = 18,000 × 1.3225 = ₹23,805
  • Compound Interest = 23,805 − 18,000 = ₹5,805

Shortcut

  • For 15% and 2 years, remember: Multiplier = 1.3225

 Question 42 (Reverse Principal)


A sum becomes ₹31,250 after 2 years at 25% Compound Interest. Find the Principal.

  • A. ₹19,000
  • B. ₹20,000
  • C. ₹21,000
  • D. ₹22,000

Correct Answer - B. ₹20,000

Solution

  • Multiplier (25%, 2 years) = 1.5625
  • Principal = 31,250 ÷ 1.5625 = ₹20,000

Shortcut

  • Remember: 25% for 2 years = 1.5625

Question 43 (Simple Interest)

At what rate of Simple Interest will ₹24,000 become ₹31,200 in 6 years?

  • A. 4%
  • B. 5%
  • C. 6%
  • D. 7%

Correct Answer - B. 5%

Solution

  • Interest = ₹31,200 − ₹24,000 = ₹7,200
  • Rate = (7,200 × 100) ÷ (24,000 × 6) = 5%

Shortcut

  • Interest = ₹7,200
  • Percentage = 7,200 ÷ 24,000 × 100 = 30%
  • Rate = 30 ÷ 6 = 5%

Question 44 

The difference between Compound Interest and Simple Interest for 2 years at 20% per annum is ₹480. Find the Principal.

  • A. ₹10,000
  • B. ₹11,000
  • C. ₹12,000
  • D. ₹13,000

Correct Answer: C. ₹12,000

Solution

Formula: Difference = P × R² ÷ 10000

  • 480 = P × 400 ÷ 10000
  • 480 = P ÷ 25
  • P = 480 × 25 = ₹12,000

Shortcut

  • At 20%, Difference = 4% of Principal
  • So, Principal = 480 × 25 = ₹12,000

Question 45 

A person borrowed ₹40,000 at 12% Simple Interest for 3 years. Find the total Amount payable.

  • A. ₹53,600
  • B. ₹54,000
  • C. ₹54,400
  • D. ₹55,000

Correct Answer - C. ₹54,400

Solution

  • Simple Interest = (40,000 × 12 × 3) ÷ 100 = ₹14,400
  • Amount = ₹40,000 + ₹14,400 = ₹54,400

 Shortcut

  • 12 × 3 = 36%
  • Interest = 36% of ₹40,000 = ₹14,400
  • Amount = ₹54,400

Question 46 (Compound Interest)

A sum of ₹25,000 is invested at 12% Compound Interest for 2 years. Find the Amount.

  • A. ₹30,860
  • B. ₹31,160
  • C. ₹31,360
  • D. ₹31,560

Correct Answer - C. ₹31,360

Solution

  • Multiplier (12%, 2 years) = (1.12)² = 1.2544
  • Amount = 25,000 × 1.2544 = ₹31,360

Shortcut

  • Remember: 12% for 2 years → 1.2544
  • No need to apply the complete formula every time.

Question 47 (Simple Interest)

At what rate of Simple Interest will ₹18,000 become ₹22,500 in 5 years?

  • A. 4%
  • B. 5%
  • C. 6%
  • D. 7%

Correct Answer- B. 5%

Solution

  • Interest = 22,500 − 18,000 = ₹4,500
  • Rate = (4500 ×100)/(18000 ×5) = 5%

Shortcut

  • Interest % =  4500 ÷18000 ×100 =25%
  • Rate =25÷5 = 5%

Question 48 (Difference Between SI & CI)

The difference between Compound Interest and Simple Interest on a sum for 2 years at 15% is ₹675. Find the Principal.

  • A. ₹25,000
  • B. ₹28,000
  • C. ₹30,000
  • D. ₹32,000

Correct Answer - C. ₹30,000

Solution

  • Formula: CI − SI= (P ×15²)/10000 
  • 675 = P ×225/10000
  • P = (675 ×10000)/225 = ₹30,000

Shortcut

  • At 15% Difference = 2.25% of Principal
  • Principal =675÷2.25% =₹30,000

Question 49 

A sum becomes ₹18,150 after 2 years at 10% Compound Interest. Find the Compound Interest earned.

  • A. ₹2,850
  • B. ₹3,000
  • C. ₹3,150
  • D. ₹3,300

Correct Answer: C. ₹3,150

Solution

  • Principal =18,150÷1.21 =₹15,000
  • Compound Interest =18,150−15,000 = ₹3,150

Shortcut

  • Whenever you see 10% + 2 Years
  • Immediately think Multiplier =1.21

Question 50 

A person borrowed ₹50,000 at 8% Simple Interest for 5 years. Find the total Amount payable.

  • A. ₹68,000
  • B. ₹69,000
  • C. ₹70,000
  • D. ₹71,000

Correct Answer - C. ₹70,000

Solution

  • Simple Interest =(50,000 ×8 ×5)/100 =₹20,000
  • Amount =50,000+20,000 = ₹70,000

Shortcut

  • 8 ×5 =40%
  • Interest =40% of ₹50,000 =₹20,000
  • Amount =₹70,000

Common Mistakes Students Make

  • Confusing Amount with Interest.
  • Forgetting to subtract the Principal in CI questions.
  • Using the SI formula in Compound Interest questions.
  • Ignoring whether compounding is yearly, half-yearly, or quarterly.
  • Not memorizing standard CI multipliers.