GH F F F F F F F F F F F F F F F F F F F F 1. Find the compound interest on Rs.6000 at 20% p.a. for 2 years, compounded annually. 1) Rs.2600 2) Rs.2400 3) Rs.2640 4) Rs.2480 5) Rs.2550 Sol: R 1st year 20% 2nd year 20% + 4% Ans: 3 2. In what time will Rs.8000 become Rs.9261 at 5% per annum compounded annually? 1) 5 yr 2) 3 yr 3) 4 yr 4) 2 yr 5) 6 yr Sol: P = 8000; compound intrest in 1st year 5 = × 8000 = 400 100 Interest 1st year 400 = 400 2nd year 400 20 = 420 3rd year 400 20 20 1= 441 1261 Amount = 8000 + 1261 = 9261 ∴ N = 3 years Ans: 2 3. A sum of money amounts to Rs.1210 in 2 years and Rs.1331 in 3 years a compound interest (interest being compounded annually). Find the rate percent of interest per annum. 1) 8% 2) 10% 3) 10.5% 4) 11% 5) 20% Sol: In 3rd year P 1210 A 1331 C.I 121 121 R = × 100 = 10% 1210 Ans: 2 4. Rohan earns an interest of Rs.400 over 2 years on a simple interest basis and Rs.420 at the same interest rate on compound inter- est basis. What is the compound interest for 2nd year? 1) 230 2) 250 3) 220 4) 200 5) 225 Sol: S.I C.I I 200 200 II 200 200 + 20 400 420 Ans: 3 5. The simple interest on a certain principal for a time period of 2 years at 16% p.a. is Rs.1280. If the same principal is invested at 10% p.a. compound interest compounded annually, what will be the amount after 2 years? (in Rs.) 1) 800 2) 900 3) 4840 4) 630 5) 1050 Sol: 32% → 1280 121% → 4840 Ans: 3 6. A person lent Rs.4000 to another person at certain rate of C.I after 2 years he got amount Rs.5760. Have he lent the same sum for the same time at the half of the previous rate of interest, how much amount he would have get? 1) Rs.4800 2) Rs.4840 3) Rs.4750 4) Rs.4640 5) Rs.5000 Sol: C.I = 5760 - 4000 = 1760 1760 % = × 100 = 44% (For 2 years) 4000 R ∴ R = 20%; = 10% 2 100% → 4000 121% → 4840 Ans: 2 7. A man invests Rs.5000 for three years at 5% p.a. compound interest reckoned yearly. Income Tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year. 1) Rs.5624.32 2) Rs.5423.32 3) Rs.5634 4) Rs.5976.32 5) Rs.5630 Sol: P = 5000 I 250 - 50 = 200 II (250 + 10 = 260 - 52) = 208 III 250 + 10 + 10.4 = 270.4 - 54.08 = 216.32 Amount = 5000 + 200 + 208 + 216.32 = 5624.32 Ans: 1 8. The simple interest received on a sum of Rs.12600 at the rate of 8% in T years is Rs.5040. Find the compound interest received on the same sum in (T-3) years at the rate of 16.66% p.a. compounded annually. 1) Rs.4550 2) Rs.4650 3) Rs.4450 4) Rs.4750 5) Rs.4800 5040 Sol: % = × 100 = 40% 12600 40 T = = 5 years; (T - 3 = 2 years ) 8 C.I ↓ P = 12600; R = 16.66% I 2100 II 2100 + 350 4550 Ans: 1 9. Abhiram invested Rs.X at the rate of 15% p.a. on compound interest for two years and gets total interest of Rs.5805. If Abhiram invested Rs.(X + 14000) for another two years at additional rate 15%, then what will be the compound intrest on that investment? 1) Rs.22080 2) Rs.24000 3) Rs.25200 4) Rs.26080 5) Rs.20080 Sol: C.I = 15 + 15 + 2.25 = 32.25% 32.25% → 5805 X = 100% → 18000 C.I ↓ P = 32000; R = 30% I 9600 II 9600 + 2880 22080 Ans: 1 10. B borrowed Rs.5,000 from A at 6% p.a. sim- ple interest and lends it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is...... 1) Rs.600 2) Rs.1,050 3) Rs.500 4) Rs.450 5) Rs.1,150 Sol: % = 21% - 12% = 9% 9 Profit = × 5000 = 450 100 Ans: 4 11. Veer invested Rs.2,75,000 on simple interest at the rate of 7% p.a. for two years and Rs.Y on compound interest at the rate of 10% p.a. for two years. If total simple interest obtained in two years is equal to compound interest only on second year then, find Y 1) Rs.3,50,000 2) Rs.3,00,000 3) Rs.4,00,000 4) Rs.2,50,000 5) Rs.4,50,000 Sol: S.I C.I I 7% 10% II 7% 11% 14% of 2,75,000 = 38500 → which is equals to 11% of C.I 11% → 38500 100% → 3,500,00 Ans: 1 12. The simple interest occurred on a sum of money at the rate of interest 5% per annum for two years is Rs.410. The compound interest is the same as simple interest as occurred on other sum of money at the same rate of interest and the same time. Find the difference between the two sums of money principal. 1) Rs.80 2) Rs.90 3) Rs.150 4) Rs.100 5) Rs.180 Sol: S.I C.I 10% → 410 10.25% → 410 100% → 4100 100% → 4000 Difference = 100 Ans: 4 13. A money-lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum com- pound interest compounded half yearly and receives the interest at the end of the year. In this way, he gains Rs.3344 a year. The amount of money he borrows, is.... 1) Rs.1,20,000 2) Rs.1,50,000 3) Rs.1,80,000 4) Rs.1,60,000 5) Rs.1,85,000 Sol: 6.09% - 4% = 2.09% 2.09% → 3344 100% → 1,60,000 Ans: 4 14. The difference in simple interest and com- pound interest on a certain sum of money in 3 years at 20% p.a. is Rs.640. The sum is... 1) Rs.5000 2) Rs.8500 3) Rs.8250 4) Rs.6000 5) Rs.4000 Sol: S.I C.I I 20% 20% II 20% 20% + 4% III 20% 20% + 4% + 4% + 0.8% 60% 72.8% Difference = 12.8% 12.8% → 640 100% → 5000 Ans: 1 15. If a certain sum of money double itself in 3 years at certain rate of C.I. In how many years does it 16 times itself at the same rate of C.I? 1) 12 yr 2) 15 yr 3) 9 yr 4) 6 yr 5) 10 yr 3years 3 years 3 years 3 years Sol: x → 2x → 4x → 8x → 16 x After 12 years does it 16 times itself Ans: 1 16. The compound interest on a sum of money for 2 years is Rs.832 and the simple interest on the same sum for the same period is Rs.800. The difference between the compound interest and simple interest for 3 years is..... 1) Rs.48 2) Rs.66.56 3) Rs.98.56 4) Rs.36.72 5) Rs.108.45 32 Sol: R = × 100 = 8% 400 S.I C.I I 400 400 II 400 400 + 32 III 400 400 + 32 + 32 + 2.56 1200 1298.5 ∴ Difference = 98.56 Ans: 3 17. Rahul invested Rs.16,800 in scheme 'A' for 4 years. Scheme 'A' offers simple interest @ 8 p.c.p.a. for the first two years and com- pound interest @ 10 p.c.p.a. for the next two years. What will be total interest earned by Rahul after 4 years from scheme 'A'? 1) Rs.6336 2) Rs.6092 3) Rs.6216 4) Rs.6448 5) Rs.6400 Sol: S.I C.I I 8% 10% II 8% 11% 16% + 21% = 37% 37 Total interest = × 16800 = 6216 100 Ans: 3 18. A man gave 50% of his savings of Rs.84,100 to his wife and divided the remaining sum between his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was..... 1) Rs.20,000 2) Rs.20,050 3) Rs.22000 4) Rs.22,050 5) Rs.24,000 5 3 5 5 Sol: P 1 ( 1 + ) = P 2 ( 1 + ) 100 100 P 1 21 2 441 P = ( ) = P 2 20 400 P 84100 841 P → 2 400 P → 20,000 Ans: 1 Writer Ch. Sudheer Chakravarthi, Sreedhar's CCE COMPOUND INTEREST Compound Interest (C.I) is most common con- cept in our daily life. C.I. calculated annually, half-yearly and quarterly. C.I is the interest calculated on the principal and the interest accumulated over the previous period. C.I = Amount - principal R n Amount = P ( 1 + ) 100 Where P = Principal R = Rate of Interest n = no. of years In competitive exams, the weitage of com- pound Interest is 2-3 marks. This topic is very useful in our daily routine as well. It is useful in Data Analysis and Data Sufficiency. Special Quantitative Aptitude Model Questions ¸ôí£æ¨ ví£AòÅ¡ ›í@ö˺x... D ð¼Múà í£K¤Ûõ ví£ê¶uÚÛÙ n ÏÙè…óŸªû ÓÚ¥ìOª D ò°uÙÚ ÓÞ¥bîªq n ÏÙTxùà What will be the amount after 2 years? 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