6.
A owes B, Rs. 1573 payable 1
 1 2
years hence. Also B owes A, Rs. 1444.50 payable 6 months
hence. If they want to settle the account forthwith, keeping 14% as the rate of interest,
then who should pay an how much?
• A.
A, Rs. 28.50
• C.
A, Rs. 50
• B.
B, Rs. 37.50
• D.
B, Rs. 50
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Explanation :
A owes = P.W. of Rs. 1573 due
 3 2
years hence
= Rs.
1573 x 100
100 +
14 x
 3 2

= Rs.
 1573 x 100 121
= Rs. 1300.

B owes = P.W. of Rs. 1444.50 due 6 months hence
= Rs.
1444.50 x 100
100 +
14 x
 1 2

= Rs.
 1444.50 x 100 107
= Rs. 1350.

B must pay Rs. 50 to A.
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7.
Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:
•  A.16 2 % 3
•  C.13 1 % 3
•  B.14 1 % 2
• D.
15%
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Explanation :
S.P. = 102% of Rs. 600 = Rs.
 102 100
x 600    = Rs. 612
Now, P.W. = Rs. 612 and sum = Rs. 688.50.
T.D. = Rs. (688.50 - 612) = Rs. 76.50.
Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50
Rate =
100 x 76.50
612 x
 3 4

% = 16
 2 3
%

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8.
The difference between the simple interest and the true discount on a certain sum of money for 6 months at 6% is Rs. 27. Find the sum
• A.
Rs. 30900
• C.
Rs. 20900
• B.
Rs. 39000
• D.
Rs. 30600
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Explanation :
Req. amount =
27 x   100 + 6 x
 1 2
x 100
6 x
 1 2
2

 2700 x 103 9

 = Rs. 30900
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9.
If the interest on Rs. 50 at 4
 1 2
%  Be equal to the discount on Rs. 59 for the same time
and at the same rate when is the latter sum due?
• A.
2 years
• C.
6 years
• B.
4 years
• D.
3 years
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Explanation :

 9 2
=
 59 - 50 50 x T
x 100
T = 4 years
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10.
Find the different between simple interest and true discount on Rs. 960 due 4 year hence at 5% per annum simple interest -
• A.
Rs. 32
• C.
Rs. 42
• B.
Rs. 52
• D.
None of these