Rs. 20000 is invested on compound interest (compounded half yearly) at the 20% per annum, then what will be the interest after two years?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e Rs. 9282
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Understanding |
Application |
Calculation |
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P = Rs. 20000 R = 20% per annum T = 2 years |
Since the interest is compounded half yearly: R = 20/2 = 10 T = 2 × 2 = 4 |
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For CI: A = P(1 + R/100)T |
So, A = 20000(1 + 10/100)4 ⇒ A = 29282 Hence, Interest = A – P = 29282 – 20000 = Rs. 9282 |
A = 20000(1 + 10/100)4 ⇒ A = 20000 × 121/100 × 121/100 ⇒ A = 2 × 14641 ⇒ A = 29282 |