Arithmatical - Compound Interest
DIRECTIONS : Problems based on Interest.
5. |
On a sum of money, the simple interest for 2 years is Rs.660, while the compound interest is Rs.696.30, the rate of interest being the same in both the cases. The rate of interest is |
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A. 10% |
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B. 11% |
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C. 12% |
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D. 10.5% |
Solution |
Difference in C.I and S.I for 2 years | = Rs(696.30-660) |
=Rs. 36.30. |
S.I for one years | = Rs330. |
S.I on Rs.330 for 1 year | =Rs. 36.30 |
Rate | = (100x36.30/330x1)% |
=11%. |
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6. |
The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half yearly is |
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A. Rs.2.50 |
| >
B. Rs.3 |
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C. Rs.4 |
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D. Rs.3.75 |
Solution |
S.I | = Rs.(1200x10x1/100) |
Rs.120. |
C.I | =Rs[(1200x1+5/100)² -1200] |
Rs.123. |
Difference | = Rs.[123-120] |
Rs. 3. |
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7. |
A sum of money invested at compound interest amounts to Rs.800 in 3 years and to Rs.840 in 4 years. The rate of interest per annum is |
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A. 2x1/2% |
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B. 4% |
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C. 5% |
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D. 6x2/3% |
Solution |
S.I. on Rs.800 for 1 year | =Rs[840 - 800] |
= Rs.40 |
Rate | =(100x40/800x1)% |
= 5% |
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8. |
If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same at the same rate and for the same time? |
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A. Rs.51.25 |
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B. Rs.52 |
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C. Rs.54.25 |
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D. Rs.60 |
Solution |
Sum | =Rs.(50 x 100/2x5) |
= Rs. 500. |
Amount | =[Rs.(500 x(1+5/100)²] |
= Rs(500x21/20x21/20). |
=Rs. 551.25 |
C.I | = Rs. (551.25 - 500) |
= Rs. 51.25 |
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