1. Rs.5,120 was partly invested in scheme A at 20% p.a. compound interest compounded annually for 2 years and partly in scheme B at 5% p.a. simple interest for 4 years. Both the schemes earn equal interests. How much was invested in scheme A?
A) Rs.1,600 B) Rs.1,400 C) Rs.2,000 D) Rs.2,400 E) Rs.2,200
Sol: Lets, amount invested in scheme A = x
amount invested in scheme B = (5120 − x)
44x = 102400 − 20x
64x = 102400 ⇒ x = 1600
Ans: A
2. Himavanth invested a certain amount Rs.x in scheme A offering simple interest 10% per annum for five years and Rs. 2x in scheme B offering compound interest compounded annually 10% per annum for two years. If the difference between the interests he earned from both the schemes was Rs.360, how much had he invested in scheme A?
A) Rs.3500 B) Rs.3100 C) Rs.4500 D) Rs. 4125 E) Rs.3600
50x − 42x = 36000
8x = 36000 ⇒ x = 4500
Ans: C
3. Prakash invested Rs.P for 2 years in scheme A, which offered 11% p.a. simple interest. He also invested Rs.P + 500 in scheme B, which offered 20% compound interest compounded annually, for 2 years. If the amount received from scheme A was less than that received from scheme B by Rs.1050, what is the value of P?
A) Rs.1,800 B) Rs.2,000 C) Rs.1,400 D) Rs.1,500 E) Rs.1,600
144P + 72000 − 122P = 105000
22P = 33000 ⇒ P = 1500
Ans: D
4. Rs.5,200 was partly invested in scheme A at 20% p.a. compound interest compounded annually for 2 years and partly in scheme B at 12% p.a. simple interest for 5 years. Both the schemes earn equal interests. How much was invested in scheme A?
A) Rs.3,200 B) Rs.4,000 C) Rs.2,200 D) Rs.3,000 E) Rs.2,000
Sol: lets amount invested in scheme A = x
amount invested in scheme B = 5200 − x
312000 − 60x = 44x
104x = 312000 ⇒ x = 3000
Ans: D
5. Pushpa invested Rs.12000 for 2 years in a scheme ‘x’ offering compound interest compounded annually of 15% p.a. and gives an interest that is Rs.20 less than the interest received on investing Rs.y for a year at simple interest of 20% p.a.. Find the value of ‘y’. (In Rs.)
A) 19350 B) 18500 C) 19550 D) 6100 E) 19450
6. Prameela invested Rs.2,68,900 in scheme M offering simple interest of y% p.a. for 4 years. She re-invests the interest received from scheme M in scheme N offering compound interest of 30% p.a. and the amount received Rs.2,54,486.96 at the end of 2 years. Find the value of Y.
A) 19 B) 16 C) 17 D) 14 E) 12
1817764y = 25448696 ⇒ y = 14
Ans: D
7. Kumar invests 2/3rd of a certain sum in scheme A for 5 years at the rate of 14% simple interest per annum. The rest of the amount he invests in scheme B for 2 years at the rate of 8% compound interest per annum compounded annually. The difference between the amount received from schemes A and B is Rs.11,168. What was the sum invested in scheme B?
A) Rs.12,000 B) Rs.7,500 C) Rs.5,000 D) Rs.8,000 E) Rs.6,000
8. Equal amount of money was invested in two different schemes A and B. Scheme A offers simple interest at a rate of 12.5% p.a. and scheme B offers compound interest compounded annually at a rate of 10% p.a. If the interest received through scheme A after 5 years was Rs.498 more than that received through scheme B after 2 years, what was the total money invested in these schemes together?
A) Rs.2400 B) Rs.3600 C) Rs.2800 D) Rs.1200 E) Rs.1800
0.625x − 0.21x = 498
0.415x = 498
415x = 498000 ⇒ x = 1200
amount invested in scheme A & B = 2x
= 2 × 1200 = 2400
Ans: A
9. Kavitha invested a certain sum in scheme A offering 20% p.a. compound interest compounded annually for 2 years. She lent half of the amount she received from scheme A to Swetha at 5% p.a. simple interest for T years. Interest received by Kavitha from Swetha was 1/8th of the amount received from scheme A, what is the value of T?
A) 3 B) 4 C) 2 D) 5 E) 6
Sol: Let Kavitha invested certain sum amount = x
Kavitha invested amount after x years
10. Simple interest on a sum of money for 3 years at 8 p.c.p.a is Rs.5952. What would be the compound interest compounded annually on the same amount of money for 2 years at 6 p.c.p.a?
A) Rs.3292.88 B) Rs.3065.28 C) Rs.3408.40 D) Rs.2982.62 E) Rs.3324.32
11. A sum of money was invested in scheme A, for 12 years, which offers simple interest at a rate of 9% p.a. The amount received from scheme A was then invested for 2 years in scheme B, which offers compound interest compounded annually at a rate of 10% p.a. If the interest received from scheme B was Rs.677.04, what was the sum invested in scheme A?
A) Rs.1650 B) Rs.1550 C) Rs.1200 D) Rs.1500 E) Rs.1600
12. Karthik invested a certain amount Rs.x in scheme A offering simple interest p.a 12% per annum for four years and Rs.2x in scheme B offering compound interest compounded annually 10% per annum for two years. If the difference between the interests he earned from both the schemes was Rs.207, how much had he invested in scheme A?
A) Rs.4500 B) Rs.3450 C) Rs.3500 D) Rs.4125 E) Rs.3600
48x − 42x = 20700
6x = 20700 ⇒ x = 3450
Ans: B
13. Anusha invested a certain sum in scheme A offering 10% p.a. compound interest compounded annually for 2 years. She lent half of the amount she received from scheme A to Sowmya at 10% p.a. simple interest for T years. Interest received by Anusha from Sowmya was 1/4 th of the amount received from scheme A, what is the value of T?
A) 10 B) 2 C) 8 D) 5 E) 9
14. Ram invests Rs.P in scheme A for 4 years and Rs.0.8P in scheme B for 2 years. Scheme A offers simple interest R% p.a. scheme B offers compound interest compounded annually 20% p.a. If the ratio of the interests obtained from schemes A and B is 15 : 11 respectively, what is the value of R?
A) 8 B) 12 C) 16 D) 10 E) 18
15. Peter invested Rs.P for 2 years in scheme A which offered 10% p.a. compound interest compounded annually. He lent the interest earned from scheme A to Ramya, at the rate of 15% p.a. simple interest. If at the end of 2 years, Ramya gave Rs.2730 to Peter and thereby repaid the whole amount (actual loan + interest), what is the value of P?
A) Rs.12,000 B) Rs.10,000 C) Rs.12,600 D) Rs.12,500 E) Rs.10,500
