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← Index: Simple & Compound Interest — Complete Exam GuideChapter 19
Study Guide · Chapter 19

6. Practice Question Set B — Moderate / Exam Level

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This set steps up to the difficulty and phrasing style of SSC CGL Tier-II and RRB NTPC CBT-2 — expect 3-year CI–SI differences, half-yearly/quarterly compounding, installment problems, population/depreciation applications, and questions that require the ratio and multiplying-time shortcuts from Section 3. Budget roughly 45-60 seconds per question here; a few (particularly the installment and two-amounts-given questions) may take slightly longer on your first attempt but should shrink to under 40 seconds with practice using the shortcuts taught above. This set now runs to 30 questions in total.

  1. The difference between CI and SI on a sum of Rs. 6,000 for 3 years at 10% p.a. is: (Topic: CI–SI Difference, 3 yrs)
    1. Rs. 170 (b) Rs. 180 (c) Rs. 186 (d) Rs. 196
  2. The difference between the CI and SI on a certain sum for 3 years at 10% p.a. is Rs. 93. Find the sum. (Topic: CI–SI Difference, 3 yrs – Find Sum)
    1. Rs. 2,700 (b) Rs. 2,850 (c) Rs. 3,000 (d) Rs. 3,100
  3. Find the CI on Rs. 8,000 at 10% p.a. compounded half-yearly for 1.5 years. (Topic: CI Half-Yearly)
    1. Rs. 1,240 (b) Rs. 1,250 (c) Rs. 1,261 (d) Rs. 1,280
  4. Find the compound interest on Rs. 20,000 at 8% p.a. compounded quarterly for 6 months. (Topic: CI Quarterly)
    1. Rs. 800 (b) Rs. 804 (c) Rs. 808 (d) Rs. 812
  5. The difference between CI and SI for 2 years on a sum at 5% p.a. is Rs. 25. Find the sum. (Topic: CI–SI Difference – Find Sum)
    1. Rs. 8,000 (b) Rs. 9,000 (c) Rs. 10,000 (d) Rs. 11,000
  6. At what rate percent per annum will a sum double itself in 8 years at simple interest? (Topic: SI – Doubling Time)
    1. 10% (b) 11% (c) 12% (d) 12.5%
  7. A sum becomes 2 times itself in 3 years at compound interest. In how many years will it become 8 times itself at the same rate? (Topic: CI – Multiplying Time)
    1. 6 years (b) 8 years (c) 9 years (d) 12 years
  8. A loan of a certain sum is repaid in 3 equal annual installments of Rs. 800 each, interest being reckoned at 20% p.a. simple interest. Find the sum borrowed. (Topic: SI Installments)
    1. Rs. 1,600 (b) Rs. 1,700 (c) Rs. 1,800 (d) Rs. 1,900
  9. A sum is repaid in 2 equal annual installments of Rs. 1,210 each, interest being compounded annually at 10% p.a. Find the sum borrowed. (Topic: CI Installments)
    1. Rs. 2,000 (b) Rs. 2,050 (c) Rs. 2,100 (d) Rs. 2,150
  10. The population of a town is 20,000 and it grows at 10% per annum. Find the population after 2 years. (Topic: Population Growth as CI)
    1. Rs. 23,000 (b) 24,000 (c) 24,200 (d) 24,400
  11. A machine worth Rs. 50,000 depreciates at 10% p.a. Find its value after 2 years. (Topic: Depreciation as CI)
    1. Rs. 39,500 (b) Rs. 40,000 (c) Rs. 40,500 (d) Rs. 41,000
  12. A sum of Rs. 5,000 amounts to Rs. 6,050 in 2 years at compound interest, compounded annually. Find the rate of interest. (Topic: CI – Find Rate)
    1. 8% (b) 9% (c) 10% (d) 12%
  13. The difference between CI and SI for 3 years on a sum at 5% p.a. is Rs. 122. Find the sum. (Topic: CI–SI Difference, 3 yrs – Find Sum)
    1. Rs. 14,000 (b) Rs. 15,000 (c) Rs. 16,000 (d) Rs. 17,000
  14. A sum amounts to Rs. 9,680 in 2 years and Rs. 10,648 in 3 years at compound interest, compounded annually. Find the rate of interest and the sum. (Topic: CI – Find Rate and Principal from Two Amounts)
    1. 8%, Rs. 8,000 (b) 9%, Rs. 8,000 (c) 10%, Rs. 8,000 (d) 10%, Rs. 8,500
  15. Find the effective annual rate of interest for a nominal rate of 20% p.a. compounded half-yearly. (Topic: Effective Annual Rate)
    1. 20% (b) 20.5% (c) 21% (d) 22%
  16. The difference between CI and SI for 2 years on a sum of Rs. 7,200 is Rs. 18. Find the rate of interest. (Topic: CI–SI Difference, 2 yrs – Find Rate)
    1. 4% (b) 5% (c) 6% (d) 7%
  17. Find the difference between CI and SI on Rs. 15,000 for 3 years at 10% p.a. (Topic: CI–SI Difference, 3 yrs)
    1. Rs. 435 (b) Rs. 450 (c) Rs. 465 (d) Rs. 480
  18. Find the compound interest on Rs. 4,000 at 10% p.a. compounded half-yearly for 1 year. (Topic: CI Half-Yearly)
    1. Rs. 400 (b) Rs. 405 (c) Rs. 410 (d) Rs. 420
  19. Find the compound interest on Rs. 5,000 at 40% p.a. compounded quarterly for 6 months. (Topic: CI Quarterly)
    1. Rs. 1,000 (b) Rs. 1,025 (c) Rs. 1,050 (d) Rs. 1,075
  20. A sum is repaid in 2 equal annual installments of Rs. 2,200 each, interest being reckoned at 10% p.a. simple interest. Find the sum borrowed. (Topic: SI Installments)
    1. Rs. 3,700 (b) Rs. 3,800 (c) Rs. 3,850 (d) Rs. 3,900
  21. A sum is repaid in 3 equal annual installments of Rs. 2,662 each, interest being compounded annually at 10% p.a. Find the sum borrowed. (Topic: CI Installments)
    1. Rs. 6,400 (b) Rs. 6,500 (c) Rs. 6,620 (d) Rs. 6,700
  22. The population of a town increases at a certain rate per annum. If it grows from 10,000 to 12,100 in 2 years, find the rate of growth. (Topic: Population Growth – Find Rate)
    1. 8% (b) 9% (c) 10% (d) 11%
  23. A machine depreciates at 20% p.a. Its value after 2 years is Rs. 64,000. Find its original value. (Topic: Depreciation – Find Original Value)
    1. Rs. 90,000 (b) Rs. 95,000 (c) Rs. 1,00,000 (d) Rs. 1,05,000
  24. If the effective annual rate of interest on a sum compounded half-yearly is 21%, find the nominal annual rate. (Topic: Effective Annual Rate – Find Nominal Rate)
    1. 18% (b) 19% (c) 20% (d) 21%
  25. A sum becomes 3 times itself in 4 years at compound interest. In how many years will it become 27 times itself at the same rate? (Topic: CI – Multiplying Time)
    1. 8 years (b) 10 years (c) 12 years (d) 16 years
  26. At what rate of simple interest will a sum become 5 times itself in 50 years? (Topic: SI – Multiplying Time)
    1. 6% (b) 7% (c) 8% (d) 10%
  27. A sum becomes 8/5 times of itself in 6 years at simple interest. Find the rate of interest. (Topic: SI – Ratio Method)
    1. 8% (b) 9% (c) 10% (d) 12%
  28. Find the compound interest on Rs. 15,000 for 2 years, if the rate of interest is 10% for the first year and 25% for the second year. (Topic: CI – Rate Changes Every Year)
    1. Rs. 5,250 (b) Rs. 5,400 (c) Rs. 5,625 (d) Rs. 5,750
  29. Find the compound interest on Rs. 12,000 at 10% p.a. for 2 years 6 months, compounded annually. (Topic: CI on Fractional Time)
    1. Rs. 3,146 (b) Rs. 3,200 (c) Rs. 3,246 (d) Rs. 3,300
  30. A sum amounts to Rs. 5,290 in 2 years and Rs. 5,819 in 3 years at compound interest, compounded annually. Find the rate of interest. (Topic: CI – Find Rate from Two Amounts)
    1. 8% (b) 9% (c) 10% (d) 12%
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