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CDS Simple & Compound Interest Questions with Answers & Explanations

19 Simple & Compound Interest questions from the Elementary Mathematics section of CDS, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

What is the simple interest on ₹24,000 at 5% per annum for 5 years?

  1. A₹7,200
  2. B₹6,000
  3. C₹4,800
  4. D₹1,200
Show answer
Answer: (B) ₹6,000 SI = P × R × T / 100 = 24000 × 5 × 5 / 100 = ₹6,000.
Question 2

What is the compound interest on ₹500 for 2 years at 10% per annum, compounded annually?

  1. A₹105
  2. B₹155
  3. C₹115.50
  4. D₹100
Show answer
Answer: (A) ₹105 CI = P[(1 + R/100)² − 1] = ₹105.
Question 3

What is the simple interest on ₹9,000 at 5% per annum for 6 years?

  1. A₹2,970
  2. B₹2,250
  3. C₹2,700
  4. D₹450
Show answer
Answer: (C) ₹2,700 SI = P × R × T / 100 = 9000 × 5 × 6 / 100 = ₹2,700.
Question 4

What is the difference between compound interest and simple interest on ₹1,700 for 2 years at 20% per annum?

  1. A₹340
  2. B₹102
  3. C₹136
  4. D₹68
Show answer
Answer: (D) ₹68 For 2 years, CI − SI = P × (R/100)² = ₹68.
Question 5

What is the simple interest on ₹14,000 at 8% per annum for 4 years?

  1. A₹4,928
  2. B₹4,480
  3. C₹3,360
  4. D₹1,120
Show answer
Answer: (B) ₹4,480 SI = P × R × T / 100 = 14000 × 8 × 4 / 100 = ₹4,480.
Question 6

What is the difference between compound interest and simple interest on ₹9,600 for 2 years at 5% per annum?

  1. A₹24
  2. B₹36
  3. C₹34
  4. D₹480
Show answer
Answer: (A) ₹24 For 2 years, CI − SI = P × (R/100)² = ₹24.
Question 7

What is the simple interest on ₹7,000 at 12% per annum for 3 years?

  1. A₹2,772
  2. B₹2,520
  3. C₹1,680
  4. D₹3,360
Show answer
Answer: (B) ₹2,520 SI = P × R × T / 100 = 7000 × 12 × 3 / 100 = ₹2,520.
Question 8

What is the difference between compound interest and simple interest on ₹8,000 for 2 years at 5% per annum?

  1. A₹30
  2. B₹400
  3. C₹40
  4. D₹20
Show answer
Answer: (D) ₹20 For 2 years, CI − SI = P × (R/100)² = ₹20.
Question 9

What is the simple interest on ₹24,500 at 12% per annum for 4 years?

  1. A₹14,700
  2. B₹11,760
  3. C₹12,936
  4. D₹2,940
Show answer
Answer: (B) ₹11,760 SI = P × R × T / 100 = 24500 × 12 × 4 / 100 = ₹11,760.
Question 10

What is the difference between compound interest and simple interest on ₹2,800 for 2 years at 5% per annum?

  1. A₹17
  2. B₹7
  3. C₹14
  4. D₹10.50
Show answer
Answer: (B) ₹7 For 2 years, CI − SI = P × (R/100)² = ₹7.
Question 11

What is the simple interest on ₹12,000 at 12% per annum for 5 years?

  1. A₹7,920
  2. B₹1,440
  3. C₹7,200
  4. D₹8,640
Show answer
Answer: (C) ₹7,200 SI = P × R × T / 100 = 12000 × 12 × 5 / 100 = ₹7,200.
Question 12

What is the compound interest on ₹2,400 for 2 years at 10% per annum, compounded annually?

  1. A₹744
  2. B₹504
  3. C₹554.40
  4. D₹480
Show answer
Answer: (B) ₹504 CI = P[(1 + R/100)² − 1] = ₹504.
Question 13

What is the simple interest on ₹30,000 at 4% per annum for 6 years?

  1. A₹6,000
  2. B₹7,200
  3. C₹8,400
  4. D₹1,200
Show answer
Answer: (B) ₹7,200 SI = P × R × T / 100 = 30000 × 4 × 6 / 100 = ₹7,200.
Question 14

What is the difference between compound interest and simple interest on ₹10,400 for 2 years at 5% per annum?

  1. A₹26
  2. B₹39
  3. C₹52
  4. D₹520
Show answer
Answer: (A) ₹26 For 2 years, CI − SI = P × (R/100)² = ₹26.
Question 15

What is the simple interest on ₹18,500 at 8% per annum for 2 years?

  1. A₹2,960
  2. B₹3,256
  3. C₹1,480
  4. D₹4,440
Show answer
Answer: (A) ₹2,960 SI = P × R × T / 100 = 18500 × 8 × 2 / 100 = ₹2,960.
Question 16

What is the compound interest on ₹500 for 2 years at 10% per annum, compounded annually?

  1. A₹115.50
  2. B₹155
  3. C₹100
  4. D₹105
Show answer
Answer: (D) ₹105 CI = P[(1 + R/100)² − 1] = ₹105.
Question 17

What is the difference between compound interest and simple interest on ₹3,700 for 2 years at 20% per annum?

  1. A₹148
  2. B₹296
  3. C₹158
  4. D₹222
Show answer
Answer: (A) ₹148 For 2 years, CI − SI = P × (R/100)² = ₹148.
Question 18

What is the simple interest on ₹25,500 at 10% per annum for 2 years?

  1. A₹5,100
  2. B₹2,550
  3. C₹5,610
  4. D₹7,650
Show answer
Answer: (A) ₹5,100 SI = P × R × T / 100 = 25500 × 10 × 2 / 100 = ₹5,100.
Question 19

What is the simple interest on ₹29,000 at 8% per annum for 5 years?

  1. A₹12,760
  2. B₹11,600
  3. C₹2,320
  4. D₹9,280
Show answer
Answer: (B) ₹11,600 SI = P × R × T / 100 = 29000 × 8 × 5 / 100 = ₹11,600.

These are RankerClub practice questions written in the CDS pattern. They are not official SSC/IBPS/RRB papers.

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