Arithmatical - Compound Interest
DIRECTIONS : Problems based on Interest.
1. |
Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually. |
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A. Rs.512 |
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B. Rs.552 |
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C. Rs.612 |
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D. Rs.622 |
Solution |
Amount | = Rs[7500x(1+4/100)²] |
=Rs.(7500x26/25x26/25) |
= Rs.8112. |
C.I | = Rs(8112 - 7500) |
=Rs.612. |
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2. |
Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely. |
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A. Rs.2552 |
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B. Rs.2512 |
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C. Rs.2572 |
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D. Rs.2592 |
Solution |
Principal | = Rs.16,000; |
Time=9 months | = 3 quarters; |
Amount =Rs.[16000x(1+5/100)³] |
=[16000x21/20x21/20x21/20] |
= Rs.18522. |
C.I | = Rs.(18522 - 16000) |
= Rs.2522. |
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3. |
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is |
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A. Rs.1550 |
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B. Rs.1650 |
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C. Rs.1750 |
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D. Rs.2000 |
Solution |
C.I. | =Rs[4000x(1+10/100)²-4000] |
Rs.(4000x11/10x11/10-4000) | = Rs.940. |
Sum | =Rs. [420x100 /3x8] |
= Rs.1750. |
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4. |
Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit ? |
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A. Rs.8600 |
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B. Rs.8620 |
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C. Rs.8840 |
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D. Rs.8820 |
Solution |
Amount | =Rs.[8000x(1+5/100)²] |
= Rs. [8000 x 21/20x21/20] |
= Rs.8820. |
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