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What Sum of Money Will Amount to Rs 18, 792 in 1 ~ Years at 16°/O P.A. Compounded Yearly? - Mathematics

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प्रश्न

What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly? 

योग
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उत्तर

P =? ; A= Rs 18792 ; t = `1 1/2` years ;  r = 16%

`"A" = "P" (1 + "r"/100)^"n"`

⇒ Rs 18972 = P `(1 + 16/100)(1 + 16/100)^(1/2)`

⇒ Rs 18972 = P `(1 + 16/100)(1 + 1/2 xx 16/100)`

⇒ Rs 18, 972 = P x 1.16 x 1.08

⇒  Rs18,972 = 1.2528 P 

⇒ P = Rs `18972/12528`

⇒ P = Rs15,143.68 

Hence, the sum of money will be Rs 15,143.68 

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Use of Formula
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Compound Interest - Exercise 1.6 [पृष्ठ २०]

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 1 Compound Interest
Exercise 1.6 | Q 8 | पृष्ठ २०
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