हिंदी

The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is ______, given that (1.08)2 = 1.1664.

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प्रश्न

The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is ______, given that (1.08)2 = 1.1664.

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उत्तर

The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is 9331.2, given that (1.08)2 = 1.1664.

Explanation:

Given, principal (P) = Rs. 8000

Time period (T) = 1 yr

Rate (R) = 16% per annum compounded half-yearly

= 0.16

Amount = `P(1 + r/n)^(nt)`

n = 2(compounded half-yearly in a year)

A = `8000(1 + 0.16/2)^(2 xx 1)`

= 8000 (1 + 0.08)2

= 8000 (1.08)2

A = 8000 × 1.1664

A = 9331.2

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अध्याय 9: Comparing Quantities - Exercise [पृष्ठ २९०]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 8
अध्याय 9 Comparing Quantities
Exercise | Q 35. | पृष्ठ २९०

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