मराठी

Govind borrows Rs 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?

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प्रश्न

Govind borrows Rs 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?

बेरीज
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उत्तर

To calculate S.I.

P = Rs. 18,000; R = 10% and T = 1 year

S.I. = Rs. `[18,000 xx 10 xx 1]/100` = Rs. 1,800

To calculate C.I.
For 1st half- year:

P = Rs. 18,000; R = 10% and T = `1/2` year

Interest = Rs. `[ 18,000 xx 10 xx 1]/[ 100 xx 2]` = Rs. 900

Amount = Rs. 18,000 + Rs. 900 = Rs. 18,900

For 2nd year: 

P = Rs. 18,900; R = 10% and T = `1/2` year

Interest = Rs. `[ 18,900 xx 10 xx 1 ]/[ 100 xx 2]` = Rs. 945

Amount = Rs. 18,900 + Rs. 945 = Rs. 19,845

Compound interest = Rs. 19,845 - Rs. 18,000 = Rs. 1,845

His gain = Rs. 1,845 - Rs. 1,800 = Rs. 45

shaalaa.com
Concept of Compound Interest - Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Compound Interest (Without using formula) - Exercise 2 (A) [पृष्ठ २८]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 2 Compound Interest (Without using formula)
Exercise 2 (A) | Q 9 | पृष्ठ २८

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