A sum of rs.P invested on compound interest annually at certain rate of interest and it three times itself in five years. In how many years the amount to 9 times itself at the same rate of interest ?
5 years
8 years
7 years
10 years
12 years
Option D 3P = P(1 + R/100)^5 3 = (1 + R/100)^5 3^2 = (1 + R/100)5*2 9 = (1 + R/100)^10 time = 10 years
A lends rs. 5500 to B at 20% per annum and B lends the same sum to C at 22% per annum. Find the gain of B after 2 years in simple interest.
380
275
220
440
554
Option C B gives the interest to A after 2 years, 5500 * 20/100 * 2 = 2200 C gives the interest to B after 2 years 5500 * 22/100 * 2 = 2420 the gain of B = 2420 – 2200 = 220
Difference between compound interest and simple interest on sum of rs.4800 at certain rate of interest after 2 years is rs. 108. What is the rate of interest ?
14%
15%
17%
12.5%
24%
Option B CI – SI = PR^2/100^2 108 = 4800R^2/10000 R^2 = 108 * 10000/4800 P^2 = 225 R = 15%
After two years ratio between simple interest to principle is 2 : 5. If difference between CI and SI after two years is 208, then find principle ?
4800
4750
4540
4850
5200
Option E Let principle = 5x and SI = 2x rate of interest for two years = 2x/5x * 100 = 40% rate of interest for 1 years = 40%/2 = 20% CI – SI = PR^2/100^2 208 = P (20)^2/10000 P = 5200
Two persons P and Q invested rs. (x + 3400) and (x+ 2200) at the rate of 15% and 20% respectively for two years in simple interest. After two years total SI is rs.7220, then how much amount invested by Q ?
Total sum of rs.4740 is invested by two friends A and B in a scheme at the rate interest of 12% p.a for 4 year in SI. If interest received by B is 67.20 more than interest received by A, then find how much amount invested by A ?
2800
2300
1840
2350
none of these
Option B A invested = x B invested = 4740 – x (4740 – x) 12/100 * 4 – x * 12/100 * 4 = 67.20 48/100 ( 4740 – x – x) = 6720 12/25 (4740 – 2x) = 67.20 4740 – 2x = 67.20 * 25/12 4740 – 2x = 140 2x = 4600 x = 2300 amount invests by A= 2300
What is the compound interest accrued on a sum of 1400 at the rate of 6% in 2 years ?
184.25
254.08
334.05
173.04
234.14
Option D Compound interest for 2 years 6 + 6 + 6 * 6/100 = 12.36 % compound interest = 1400 * 12.36/100 = 173.04
The compound interest on a certain sum at 20% p.a for 2 years is rs. 98 more than the simple interest on same sum at 15% per annum for 2 years. What is the sum ?
700
480
320
1000
650
Option A Let sum is rs.x compound interest for 2 years at 20 % p.a 20 + 20 + 20 * 20 /100 = 44% simple interest for 2 years at 15 % = 15% * 2 = 30% x * 44/100 – x * 30/100 = 98 x = 700
A certain sum is deposited at rate of 40% p.a on Compound interest. Difference between interest earned at the 1st and 2nd year is rs.384. What is the sum ?
4800
4500
3200
4500
2400
Option E Let sum = 100x interest of 1st year = 100x * 40/100 = 40x total amount at the end of the 1st year = 100x + 40x = 140x interest of 2nd year = 140x * 40/100 = 56x difference = 56x – 40x = 16x 16x = 384 x = 24 sum = 100x = 100 * 24 = 2400
What is difference between the compound interest on rs.4000 for 1.5 years at 40% p.a compounded yearly and half-yearly ?
182
192
534
314
208
Option B Rate of interest after 1.5 years compounded yearly at 40%p.a 40 + 20 + 800/100 = 68% CI = 4000 * 68/100 = 2720 Rate of interest after 1.5 years compounded half-yearly rate of interest = 40/2 = 20% 20 + 20 + 20 * 20 /100 = 44% 44% + 20% + 880/100 = 72.80% CI = 4000 * 72.80 /100 = 2912 difference = 2912 – 2720 = 192
