12000 rs. borrowed with simple interest for 8 months at p.c.pa. . how much mony should be prepaid 8 months?
Answers
Answer:
Q 1 - 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
Let the sum be = P and original rate = R. Then,
(Px(R+2)x3⁄100) - (PxRx3⁄100) = 360
3PR + 6P - 3PR =36000
6P = 36000
P=6000
Q 6 - A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. he immediately lends it to another person at 6 1⁄4% p.a. for 2 years find his gain in the transaction per year?
A - 112
B - 112.50
C - 110
D - 100
Answer - B
Explanation
Gain in 2 years = Rs. [(5000x25x⁄42⁄100) - (500x4x2⁄100)]
= Rs. (625 - 400)
= Rs. 225
Gain in 1 year = Rs. (225⁄2)
= Rs. 112.50
Q 7 - How much time for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A - 4
B - 5
C - 4.5
D - 6
Answer - A
Explanation
Time = (100 x 81⁄450 x 4.5)
= 4 years
Q 8 - A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
A - 6
B - 6.5
C - 5
D - 6.75
Answer - A
Explanation
S.I. = Rs. (15500 - 12500) = Rs. 3000
Rate = (100 x 3000⁄12500 x 4)
= 6%
Q 9 - Reema took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of loan period, what was the rate of interest?
A - 10
B - 5
C - 6
D - 7
Answer - C
Explanation
Let Rate = R% and time also R years. Then,
(1200 x R x R⁄100) = 432
= 12R2 = 432
R2 = 36
R=6
Q 10 - A man took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed b him was?
A - 10000
B - 15000
C - 15500
D - 6500
Answer - B
Explanation
Principal = Rs. (100 x 5400⁄12 x 3)
= Rs. 15000
Step-by-step explanation: