The interest paid on a certain sum of
money after 4 years at the rate of 5%
per annum was 840. Find the principal
borrowed and the amount returned.
Answers
Step-by-step explanation:
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of Rs. 11,400 at the end of nine years, how much money did he borrow?
A - 12,000
B - 13,000
C - 14,500
D - 12,500
Answer - A
Explanation
Let the sum borrowed be Z. Then,
(Zx6x2⁄100) + (Zx9x3⁄100) + (Zx14x4⁄100) = 11400
Therefore, 3Z⁄25 + 27Z⁄100 + 14Z⁄25) = 11400
? 95Z⁄100 = 11400
Z = (11400x100⁄95) = 12000
Q 2 - A certain sum of money amounts to Rs. 1008 in 2 years and to Rs. 1164 in 31⁄2 years. find the sum and the rate of interest?
A - Rs. 800, Rate 14%
B - Rs. 850, Rate 12%
C - Rs. 800, Rate 13%
D - Rs. 500, Rate 13%
Answer - C
Explanation
S.I. for 11⁄2years = Rs. (1164-1008)
=156
S.I. for 2 years = Rs. (156 x 2⁄3 x 2) = Rs. 208
Principal = Rs. (1008 - 208) = Rs. 800
Now, P = 800, T = 2, and S.I. = 208
Rate = (100x208⁄800x2)% = 13%
Q 3 - At what rate percent per annum will a sum of money double in 16 years?
A - 5%
B - 3%
C - 4%
D - 61⁄4%
Answer - D
Explanation
Let Principal = P, Then,
S.I. = P and T = 16 years
Rate = (100xP⁄Px16)%
= 6(1⁄4)
Q 4 - The simple interest on a certain sum of money for 21⁄2 years at 12% per annum is Rs. 40 less than the simple interest on the same sum for 31⁄2 years at 10% per annum. Find the sum?
A - 400
B - 800
C - 1600
D - 500
Answer - B
Explanation
Let the sum be Z then,
(Zx10x7⁄100x2) - (Zx12x5⁄100x2)
=40
7Z⁄20 - 3Z⁄10 = 40
Z = 40 x 20
The sum is Rs. 800
Q 5 - A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum?
A - 10000
B - 6000
C - 15000
D - 6500
Answer - B
Explanation