1. Sum invested in scheme B is 2.5 times the sum invested in scheme A. Investment in scheme A is made for 7 years at 6% p.a. simple interest and in scheme B for 5 years at 8% p.a. simple interest. The total interest earned from both the schemes is Rs.2840. How much was invested in scheme A?
A) Rs.2000 B) Rs.3000 C) Rs.1800 D) Rs.2500 E) Rs.3600
Sol: Let amount invested in scheme A = x
amount invested in scheme B = 2.5 x
42x + 100x = 284000
142x = 284000
Amount invested in scheme x = 2000
Ans: A
2. An equal amount of money is invested, in scheme A for 4 years and scheme B for 11 years, both offering 6% simple interest per annum. Difference in the interest earned from both the schemes is Rs.2520. At what rate of simple interest per annum, should the same sum of money be invested to earn the same interest as in scheme B, in 8 years?
A) 8% B) 8.5% C) 8.25% D) 12.5% E) 12%
Sol: Let invested amount = x
66x − 24x = 252000
42x = 25200 ⇒ x = 600
Interest received from schem B
Ans: C
3. A person invested in two schemes A and B. He invested Rs.9860 in scheme A offering 10% simple interest for y years while Rs.8600 in scheme B offering 20% P.a simple interest for (y − 3) years. If the total interest received from both schemes is 8370, then find the value of (y − 3)?
A) 5 B)4 C) 3 D) 2 E) 1
986y + 1720y − 5160 = 8370
2706y − 5160 = 8370
2706y = 13530 ⇒ y = 5
∴ (y − 3) = 5 − 3 = 2
Ans: D
4. Sum invested in scheme Q is four times the sum invested in scheme P. Investment in scheme P is made for 5 years at 10% p.a. simple interest and in scheme Q for 4 years at 15% p.a. simple interest. The total interest earned from both the schemes is Rs.3596. How much was invested in scheme P?
A) Rs.1680 B) Rs.980 C) Rs.1210 D) Rs.960 E) Rs.1240
Ans: E
5. Different sums of money was invested, in respective ratio of 8 : 9, for an equal time period, in two schemes - A (@ 5% p.a) and B (@ R% p.a). Both schemes offer simple interest. Respective ratio between interests earned (at end of investment period) from schemes A and B, was 20 : 27. What is the value of R?
A) 12 B) 6 C) 7.5 D) 9 E) 8
Ans: B
6. ‘A’ borrowed a certain amount from a money lender at a rate of 8% simple interest per annum. A then lent it to B at 11% simple interest per annum. At the end of 4 years, A made a profit of Rs.960. How much did A borrow from the money lender?
A) Rs.7,600 B) Rs.7,000 C) Rs.8,600 D) Rs.7,200 E) Rs.8,000
Sol: Let assume borrowed amount = A
44A − 32A = 96000
12A = 96000 ⇒ A = 8000
Ans: E
7. When a certain sum of money is invested for 12 years at 9% simple interest per annum, it amounts to Rs.24,960. At what rate of simple interest per annum, should the same of money be invested to earn the same interest in 8 years?
A) 13.5% B) 15% C) 15.5% D) 12.5% E) 13%
Ans: A
8. Navya took a certain sum as loan from bank at a rate of 10% simple interest per annum. She lends the same amount to Vinu at 14% simple interest per annum. At the end of 6 years Navya made profit of Rs. 2280 from the deal. How much did Navya take as loan from the bank?
A) Rs.10,000 B) Rs.12,500 C) Rs.9500 D) Rs.11,000 E) Rs.8500
84x − 60x = 228000
24x = 228000 ⇒ x = 9500
Ans: C
9. Rs.X invested in scheme A offering simple interest at the rate of 7% p.a. for two years, the amount received from scheme A invested in scheme B for one year at the rate of 10% p.a. the amount received from scheme B is 2708.64. Find the value of X.
A) 2100 B) 2200 C) 2110 D) 2320 E) 2160
Ans: E
10. Rs.4,000 is invested at 14% p.a. on simple interest. If that interest is added to the principal after every 25 years, the amount will become Rs.43,200 after?
Principal after 25 years
= 4000 + 14000 = 18000
amount after "T' years = 43200
S.I on it = 43200 − 18000 = 25200
total years = 25 + 10 = 35 years
Ans: A
11. Rs.34,000 was invested for four years, partly in scheme P at the rate of 9% simple interest per annum and partly in scheme Q at the rate of 15% simple interest per annum. The interest received from scheme Q is Rs.6960 more than the interest received from scheme P. How much interest was earned from scheme P?
A) Rs.4,800 B) Rs.3,480 C) Rs.5,040 D) Rs.5,240 E) Rs.4,680
Sol: Sum invested in scheme p = x
sum invested in scheme Q = 34000 − x
60%(34000 − x) − 36%x = 6960
20,40,000 − 60x − 36x = 696000
1344000 = 96x Þ x = 14000
= 5040
Ans: C
12. B borrowed Rs.7,850 from A @ 8 p.c.p.a. simple interest for 2 years. B then added Rs.2,150 to the borrowed sum and lent it to C @ ‘X’ p.c.p.a. simple interest for the same period. If the interest received by B from C after 2 years is Rs.1,144 more than the interest B had to pay to A, what is the value of ‘X’?
A) 12 B) 8.5 C) 10 D) 8 E) 7.5
200X − 1256 = 1144
200X = 2400 ⇒ X = 12
Ans: A
13. The simple interest on certain sum at 13% p.a for 18 months is 510 less than the simple interest on the same sum at 16% for 21 months, and then find the sum of interests obtained in both the cases?
A) 2820 B) 2970 C) 2850 D) 2450 E) 2350
Sol: let sum = x
= 2850
Ans: C
14. When a certain sum of money is invested for 15 years at 15% simple interest per annum, it amounts to Rs.58,500. For how many years should the same sum of money be invested to earn the same amount of interest at the rate of 9% simple interest per annum?
A) 18 years B) 25 years C) 20 years D) 15 years E) 28 years
Ans: B
15. A sum of Rs.26,000 was invested in two schemes, A and B on simple interest in such a way that interest earned from scheme A at 18 p.c.p.a. for 8 years is equal to that earned from scheme B at 27 p.c.p.a. for 12 years. What is the difference between the amount invested in scheme A and amount invested in scheme B?
A) Rs.10,000 B) Rs.12,400 C) Rs.13,600 D) Rs.12,000 E) Rs.14,000
Sol: let amount invested in scheme A = x
amount invested in scheme B = 26000 − x
4x = 26000 × 9 − 9x
13x = 26000 × 9
x = 18000
required difference = x − (26000 − x)
= 10,000
Ans: A
