Takshilla Classes | Reasoning

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Takshilla Classes Reasoning | Compound Interest

C.I

1.The Simple interest on a certain sum for 2 years at 10% per annum is Rs. 90. The corresponding compound interest is:

A.97 B.90 C.94.50. D.100 E.None of these

2.Manoj borrowed a certain sum from Anuj at a certain rate of simple interest for 2 years. He lent this sum to Rakesh at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 4200 as compound interest but paid Rs. 4000 only as simple interest. Find the rate of interest?

A.10%. B.20% C.25% D.30% E.None of these

3.If the difference between the simple interest and compound interests on some principal amount at 20% for 3 years is Rs. 48, then the principal amount is

A.636 B.650 C.375 . D.400 E.None of these

4.A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% compound interest. The sum borrowed was:

A.1620 B.1640. C.1680 D.1700 E.None of these

5.Divide Rs. 3903 between A and B, so that A’s Share at the end of 7 years may equal to B’s share at the end of 9 years, compound interest being at 4 percent.

A.2018 and 1885 B.2028 and 1875. C.2008 and 1895 D.2038 and 1865 E.None of these

7.If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 27 times in:

A.8 years B.12 years. C.24 years D.36 years E.None of these

8.If the difference between the CI and SI on a sum of money at 5% per annum for 2years is Rs.16.Find the Simple Interest ?

A)180 B)460 C)520 D)640. E)None of these

9. If the difference between the CI and SI on a sum of money at 5% per annum for 2years is Rs.16.Find the Simple Interest ?

A)180 B)460 C)520 D)640. E)None of these

10. Rohit borrowed Rs. 1200 at 12% PA .He repaid Rs. 500 at the end of 1 year. What is the amount required to pay at the end of 2nd year to discharge his loan which was calculated in CI

A)945.28. B)1106.00 C)1107.55 D)1100.65 E)None of these

11. A sum of money invested at CI to Rs.800 in 3 years and to Rs.840 in 4 years.Find rate of interest PA ?

A)6% B)5%. C)4% D)2% E)None of these

12. If 40% increase in an amount in 4 years at SI. What will be the CI of Rs.10,000 after 2 yrs at the same rate ?

A)1000 B)1100 C)2000 D)2100.

13. The least number of complete years in which a sum of money put out at 10% CI will be more than doubled is

A)8yrs. B)6yrs C)4yrs D)7yrs

14. A sum of money doubles itself at CI in 10yrs. In how many yrs will it become 4 times ?

A)10yrs B)20yrs. C)15yrs D)22yrs

15. Rs.5200 was partly invested in Scheme A at 10% pa CI for 2 years and Partly invested in Scheme B at 10% pa SI for 4 years. Both the schemes earn equal interests. How much was invested in Scheme A ?

A.Rs.1790 B.Rs.2200 C.Rs.3410. D.Rs.2670 E.None of these

16. The CI on Rs.7000 for 3 years at 5% for first year, 7% for second year, 10% for the third year will be

A.Rs.1800 B.Rs.1530 C.Rs.1651. D.Rs.2050 E.None of these

17. Poorni and Priyanka have to clear their respective loans by paying 2 equal annual instalments of Rs.20000 each. Poorni pays at 10% pa of SI and Priyanka pays at 10% CI pa. What is the difference in their payments ?

A.200. B.300 C.400 D.500 E.None of these

18. On a certain sum of money, after 2 years the simple interest and compound interest obtained are Rs 800 and Rs 960 respectively. What is the sum of money invested?

A) Rs 1420 B) Rs 1325 C) Rs 1000. D) Rs 1405 E) Rs 1375

19. Rs 6000 becomes Rs 7200 in 3 years at a certain rate of compound interest. What will be the amount received after 9 years?

A) Rs 11,498 B) Rs 10,352 C) Rs 9,368 D) Rs 10,368. E) None of these

20. A sum of money is lent for 2 years at 20% p.a. compound interest. It yields Rs 482 more when compounded semi-annually than compounded annually. What is the sum lent?

A) Rs 25,600 B) Rs 20,000. C) Rs 26,040 D) Rs 40,500 E) None of these

21.Rs 3903 is to be divided in a way that A’s share at the end of 7 years is equal to the B’s share at the end of 9 years. If the rate of interest is 4% compounded annually, find A’s share.

A) Rs 2475 B) Rs 1875. C) Rs 2175 D) Rs 1935 E) Rs 2028

22. Find the least number of years in which the sum put at 25% rate of interest will be more than doubled.

a) 2 years b) 3 years c) 4 years. d) 5 years e) None of these

23. A man borrows 10000 rupees at 20 % compound interest for 3 years. If every year he pays 2000 rupees as repayment. How much amount is still left to be paid by the man?

a) 5000 b) 7000 c) 9000 d) 10000. e) None of these

24. A sum of rupees 3200 is compounded annually at the rate of 10 paisa per rupee per annum. Find the compound interest payable after 2 years.

a) 200 b) 842 c) 672. d) 832 e) None of these

25. The difference between the total simple interest and the total compound interest compounded annually at the same rate of interest on a sum of money at the end of two years is Rs. 450. What is definitely the rate of interest per cent per annum?

A.8400 B.4800 C.7800 D.Data inadequate. E.None of these

26.P = ?,Time = 2 yr,r =12 1/2%,CI = 6.80 Rs

A.25.6 Rs. B.76.9 Rs C. 67.2 Rs D. 83.2 Rs e) None of these

3.P = ?,Time = 2 yr,r =16 2/3%,CI = ?

A.546 Rs B.390 Rs. C.657 Rs D.867 Rs E. None of these

4. A = ?, P = ?, r = 11 1/9%, T = 2yrs, CI of 2nd year = 70 Rs.

Ans: — P = 81*7 = 567 Rs, A = 100*7 = 700 Rs.

5. P = ?, r = 15%, t = 2 yrs, CI-SI = 2.70 Rs, CI = ?, r = 15% = 3/20

Ans: — P = 400*0.30 = 120 Rs, CI = 129 * 0.3 = 38.70 Rs.

6. P = ?, t = 2 yrs, CI-SI = 40 Rs, R for 1st year = 14 2/7%, for 2nd year = 11 1/9%, r = 1/7, 1/9.

Ans: — P = 63*40 = 2520 Rs.

7. P = 18000 Rs, R = 16 2/3%, T = 1 year 73 days, CI = ?, R = 16 2/3% = 1/6.

Ans: — CI = 7.4 * 500 = 3700 Rs.

8. P = ?, r = 15%, T = 1 year 6 months, CI = 9.45 Rs, r = 15% = 3/20.

Ans: — P = 400*1/10 = 40 Rs.

9. P = ?, R = 10%, T = 3 year, CI = 6620 Rs, R = 1/10.

Ans: — P = 1000*20 = 20,000 Rs.

10. P = ?, T = 3yrs, R = 15%, CI-SI = 1701 Rs, R = 15% = 3/20.

Ans: — P = 8000*3 = 24000 Rs.

11. P = ?, T = 3yrs, R = 12 1/2%, CI-SI = 12.50 Rs, R = 12 1/2% = 1/8.

Ans: — P = 512*1/2 = 256 rs.

12. P = ?, T = 3yrs, r = 1/6%, CI-SI = 5.70 Rs, r = 1/6.

Ans: — P = 216*0.3 = 64.8 Rs.

13. P = ?, T = 3yrs, r = 16 2/3%, 3rd yr CI — 2nd yr CI = 420 Rs, R = 1/6

Ans: — P = 216*60 = 12960 Rs.

14.

15.

16.

17. P = 8000 Rs, r = 20%, T = 1yr, T = 1*4 = 4 quarter years, r = 20%/4 = 5% per quarter year.

Ans: — CI — SI = 124.05 Rs.

18. If a certain sum of money of Rs 225 amounts to Rs 256 in two years. Find the rates of compound interest?

Ans: — 1/5*100 = 6 2/3%.

19. If a certain sum of money of Rs 102400 amounts to Rs 145800 in 3 yrs. Find the rate of compound interest.

Ans: — 1/8*100 = 12 1/2%.

20. If a certain sum of money becomes 8 times of itself in 3 yrs. Find the rate of compound interest.

Ans: -1/1*100 = 100%.

21. At what rate % per annum will Rs. 2304 amounts to Rs 2500 in two years compound annually.

Ans: — 1/24*100 = 4 1/6%.

22. At what rate per annum will rupees 32000 yield a compound interest of 5044 Rs in 9 months interest being compound quarterly.

Ans: -5% * 4 = 20% per annum.

23. If a certain sum of money becomes equal to 3 times of itself in 8 yrs. In how much time it will be 243 times of itself.

Ans: — R = 8√3 -1 / 1*100%

24. If a certain sum of become double of itself in 3 yrs. In how muh time it will be 64 times of itself.

Ans: — r = 3√2–1 * 100%.

25. If a certain sum of money amounts to Rs 4500 in 5yrs and Rs 6750 in 10yrs. Find principal.

Ans: -P*3/2 = 4500 = 3000.

26. If a certain sum of money amounts to Rs 650 in two years and Rs 676 in 4 yrs. Find principal.

Ans: — P = 625 Rs.

27. If a certain sum of money amounts to Rs 66300 in 10 yrs and Rs 99450 in 20 yrs.

Ans: -P = 44200 Rs.

28. If a certain sum of money becomes Rs 8000 in 2 yrs and Rs 27000 in 5 yrs. Find the principal.

Ans: — P = 4 unit ─ 8000/9*4 = 32000/9 = 3555.55 Rs.

29. The simple interest and compound intrest on a certain sum of money is 400 & 410 Rs respectively. Find principal and rate of intrest? ( time = 2 yrs ).

Ans: — P = 4000

30. If the diff. b/w CI and SI on acertain sum of money of Rs 5000 for 2 yrs is Rs 72 Find rate of intrest?

Ans: — R =√D/P * 100.

31. At what rate percent the diff of CI and SI on a certain sum of money of Rs 30720 in 3yrs is 1500.

Ans: — 3x+1 / x3 = D/P

32. Ratio of 3yrs of CI and SI of and year on a certain sum of money is 3.64 : 1. Find rate percent.

Ans: — A = r, B = r2 / 100.s

33. The ratio of diff b/w CI and SI for 3yrs to the diff. of CI and SI for 2yrs is 19:6. Find rate of interest.

Ans: — 1/6*100 = 16 2/3%.

34. A man want to invest 16850 in bank account of his two sons whose ages are 12 yrs and 16yrs in such a way so that they will get equal amount at an age of 120 yrs at the rate of 33 ½% per annum. Find share of younger son.

Ans: — Younger son = C = 81*50 = 4050

Elder = B = 256*50 = 12800

35. A man purchase a motorbike for a certain price and promise to pay the price in 3 equal annual instalments of 10,800 at the rate of 20% per annum. Find the cost price of motorbike.

Ans: — 455 ─> 50*455 = 22750 Rs.

36. A man borrowed a sum of Rs 25220 from a bank and promise to pay the amount in 3 annual equal instalment at the rate of 5% per annum. Find the value of each instalment.

Ans: — 9261 unit = 926*1 = 9261 Rs.

37. A man borrowed a sum of Rs 3000 from bank at 30% per annum. He pays back Rs 1000 at the end at each year. Calculate how much amount he will pay at the end of 3rd year to clear all his dues.

Ans: — He has to pay 360 Rs at the end of 3rd year to clear the loan.

38.

39.

40.

41. P = ?, r = 5%, T = 1 yrs 73 days, CI = 302.50 Rs

Ans: — P = 5000 Rs.

42. P = 8000, R = I ─> 1%, II ─>2%, III ─>3%, CI — SI = ?, T = 3 yrs.

Ans: — CI — SI = 0.1106%

43. P = ?, T = 3yrs, R = I ─> 5%, II ─>4%, III ─>3%, CI = 12476 Rs.

Ans: — P = 10,0000.

44. P = ? Time = 1yr 6 months, r = 4%, CI — SI = 204 Rs & CI is calculated half yearly.

Ans: — P = 5,00,000 Rs.

45. P = 4000, Time = 1yr 6 months, r = 6%, CI(Half yearly) — CI(Annual) = ?

Ans: — 4000 * 0.0927/100 = 3.708 Rs.

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