Arithmatical - Simple Interest
DIRECTIONS : Problems based on Simple Interest.
9. |
A sum of money lent out at simple interest amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is |
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A. Rs.500 |
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B. Rs.600 |
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C. Rs.700 |
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D. Rs.710 |
Solution |
S.I. for 5 year | = Rs.(1020 - 720) |
= Rs. 300. |
S.I. for 2 year | = Rs.(300/5×2) |
= Rs. 120. |
Principal | = Rs. (720 - 120) |
= Rs. 600. |
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10. |
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest? |
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A. 3% |
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B. 4% |
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C. 5% |
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D. 6% |
Solution |
S.I. | = Rs. (15500 - 12500) |
= Rs. 3000. |
Rate | = (100×3000 / 12500×4)% |
= 6%. |
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11. |
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest.The rate of interest per annum is |
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A. 5% |
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B. 8% |
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C. 12% |
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D. 15% |
Solution |
S.I. for 3 year | = Rs.(12005 - 9800) |
= Rs. 2205. |
S.I. for 5 year | = Rs.(2205/3 ×5) |
= Rs. 3675. |
Principal | = Rs. (9800 - 3675) |
= Rs. 6125. |
Hence, rate = (100×3675 / 6125×5)= 12%. |
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12. |
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? |
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A. 3.5 years |
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B. 4 years |
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C. 4.5 years |
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D. 5 years |
Solution |
Time | = (100 x 81 / 450 x 4.5)years |
‹=› (8100/2025)years |
‹=› 4 years. |
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