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OverviewExercise"We cannot solve our problems with the same thinking we used when we created them."
- Albert Einstein
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| 6. |
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: |
Answer: Option D
Explanation:
| S.P. = 102% of Rs. 600 = |
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102 |
x 600 |
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= Rs. 612. |
| 100 |
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 = |
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100 x 76.50 |
% |
= 16 % |
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| 7. |
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 | B. |
Rs. 1764 | | C. |
Rs. 1575 | D. |
Rs. 2268 |
Answer: Option A
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 |
x |
1 |
= 189 or x = 1575. |
| 12 |
100 |
P.W. = Rs. 1575.
Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.
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| 8. |
A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man: |
| A. |
gains Rs. 55 | B. |
gains Rs. 50 | | C. |
loses Rs. 30 | D. |
gains Rs. 30 |
Answer: Option B
Explanation:
| S.P. |
= P.W. of Rs. 2200 due 1 year hence |
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| = Rs. |
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2200 x 100 |
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| 100 + (10 x 1) |
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= Rs. 2000. |
Gain = Rs. (2000 - 1950) = Rs. 50.
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| 9. |
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
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| A. |
6 months | B. |
8 months | | C. |
9 months | D. |
10 months |
Answer: Option C
Explanation:
P.W. = Rs. (1760 -160) = Rs. 1600.
S.I. on Rs. 1600 at 12% is Rs. 160.
Time = |
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100 x 160 |
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= |
5 |
years = |
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5 |
x 12 |
months = 10 months. |
| 1600 x 12 |
6 |
6 |
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| 10. |
The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:
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| A. |
Rs. 1750 | B. |
Rs. 1680 | | C. |
Rs. 1840 | D. |
Rs. 1443.75 |
Answer: Option B
Explanation:
| P.W. = Rs. |
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100 x 2310 |
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= Rs. 1680. |
| 100 + |
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15 x |
5 |
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| 2 |
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