31.
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
• A.
Rs. 10
• C.
Rs. 15.20
• B.
Rs. 10.40
• D.
Rs. 13
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Explanation :
S.I. on Rs. (260 - 20) for a given time = Rs. 20.
S.I. on Rs. 240 for half the time = Rs. 10.
T.D. on Rs. 250 = Rs. 10.
T.D. on Rs. 260 = Rs.
 10 250
x 260    = Rs. 10.40
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32.
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
• A.
Rs. 1386
• C.
Rs. 1575
• B.
Rs. 1764
• D.
Rs. 2268
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Explanation :
Let P.W. be Rs. x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.
x x 16 x
 9 12
x
 1 100
= 189 or x = 1575
P.W. = Rs. 1575.
Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.
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33.
A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
• A.
Rs. 12,000 in cash
• C.
Both are equally good
• B.
Rs. 12,880 at credit
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Explanation :
P.W. of Rs. 12,880 due 8 months hence = Rs.
12880 x 100
100 +   18 x
 8 12

= Rs.
 12880 x 100 112

 = Rs. 11500.
Clearly, Rs. 12000 in cash is a better offer.
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34.
A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
• A.
0%
• C.
7.5%
• B.
5%
• D.
10%
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Explanation :
C.P. = Rs. 3000.
S.P. = Rs.
 3600 x 100 100 + (10 x 2)
= Rs. 3000
Gain = 0%.
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35.
Find the present worth of Rs. 264 due in 2 years reakoning simple interest at 5 percent per annum
• A.
Rs. 240
• C.
Rs. 540
• B.
Rs. 360
• D.
Rs. 260