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What Sum of Money Will Amount to Rs 10,256.40 in 3 Years at Compound Interest If the Rates of Interest for the Successive Years Are 10%, 11% and 12%? - Mathematics

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प्रश्न

What sum of money will amount to Rs 10,256.40 in 3 years at compound interest if the rates of interest for the successive years are 10%, 11% and 12%?

योग

उत्तर

Here P = ? ; t = 3 years ; r = 10%, 11% and 12% successively ; A= Rs 10.256.40 

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

Rs 10256.40 = P `(1 + 10/100)(1 + 11/100)(1 + 12/100)`

Rs 10,256.40=P x 1.1 x 1.11 x 1.12

Rs 10,256.40 = 1.36752 P

P = Rs `10256.40/1.36752`

P = Rs7,500

Hence, the sum of money is Rs 7,500. 

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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]

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 1 Compound Interest
Exercise 1.6 | Q 7 | पृष्ठ २०

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