Q8. In one year the simple interest on a sum of money at 4.5% per annum is Rs. 202.50. Find the additional interest on the same amount at 5% per annum in 1 year?
A. Rs. 25
B. Rs. 22.50
C. Rs. 42.25
D. Rs. 20.25
Answer- Option B
Explanation-
S.I = Rs. 202.50, R = 4.5%, T = 1 year Principal = Rs.
Q9. The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. What is the difference between their rate of interest?
A. 0.3%
B. 0.5%
C. 0.2%
D. 0.1%
Answer- Option A
Explanation-
1500 x R1 x 3 100
-
1500 x R2 x 3 100
= 13.50
4500 (R1 - R2) = 1350 R1 - R2 = 0.3%
Q10. P charges at 7% p.a. simple interest to Q and R and lends a certain sum to R and Rs. 2500 to Q. After 4 years, P completely receives Rs. 1120 as interest from Q and R. Find the sum lent to R?
A. Rs. 3100
B. Rs. 1500
C. Rs. 6400
D. Rs. 900
Answer- Option B
Explanation-
Let the sum lent to R be Rs. x. Then,
2500 * 7 * 4 100
+
x * 7 * 4 100
= 1120
7x 25
=
(1120 - 700)
x = 1500.
Q11. Vijay decides to invest a certain sum of money in three different fixed deposit P, Q, and R having the rate of interest 10% per annum, 12% per annum, and 15% per annum respectively. If total interest collected by Vijay in one year is Rs. 3200 and the money invested in fixed deposit R is 240% of the amount invested in Q and 150% of the sum invested in P, what is the amount invested in fixed deposits Q?
A. Rs. 6000
B. Rs. 5500
C. Rs. 5000
D. Rs. 4500
Answer- Option C
Explanation-
Let x, y, and z be the amounts invested in schemes P, Q, and R respectively. Then,
x * 10 * 1 100
+
y * 12 * 1 100
+
z * 15 * 1 100
= 3200
10x + 12y + 15z = 320000 ...(i) Now, z = 240% of y =
12y 5
...(ii)
And, z = 150% of x =
3x 2
x =
8y 5
...(iii)
From (i), (ii), and (iii), we have 16y + 12y + 36y = 320000 y = 5000.
Q12. In 3 years, at a particular rate of interest Rs. 800 becomes Rs. 956. In case, the rate of interest in increased by 4%, find the amount will Rs. 800 become in 3 years?
A. Rs. 1100
B. Rs. 1099
C. Rs. 1021
D. Rs. 1052
Answer- Option D
Explanation-
S.I. = Rs. (956 - 800) = Rs. 156. Rate =
100 x 156 800 x 3
% = 6
1 2
%
New Rate =
6
1 2
+ 4
% = 10
1 2
%
New S.I. = Rs.
8000 x
21 2
x
3 100
= Rs. 250
New amount = Rs. (800 + 252) = Rs.1050.
Q13. A simple interest of Rs. 252 is obtained by an amount of Rs. 1600 in 2 years and 4 months. What is the rate of interest?
A. 6
3 4
%
B. 6
1 4
%
C. 5
1 2
%
D. 7
3 5
%
Answer- Option A
Explanation-
Time = 2 years 4 months =
7 3
years
Rate =
100 x 252 x 3 1600 x 7
% = 6
3 4
%
Q14. The increment in the annual rate of simple interest from 10% to 12.5%, increases Ankit's income by Rs. 1250. What is his principal(in Rs.)?
Difference in interest = Rs. (225 - 202.50) = Rs. 22.50
4500 (R1 - R2) = 1350
