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CBSE Class 7 Answered

A sum of money put at 11 % per annum amounts to rupees 4491 in 2 years 3 months what will it amount to in 3 year at same rate
Asked by priyankakumari66248 | 10 Aug, 2020, 08:44: PM
answered-by-expert Expert Answer
Let the sum be Rs. P
Given: R=11% and N=2 years and 3 months = 2+(3/12) = 2 + 1/4 = 9/4
straight S. straight I. equals fraction numerator straight P cross times straight N cross times straight R over denominator 100 end fraction
Amount equals straight P plus straight S. straight I. equals straight P plus fraction numerator straight P cross times straight N cross times straight R over denominator 100 end fraction
rightwards double arrow 4491 equals straight P plus fraction numerator straight P cross times begin display style 9 over 4 end style cross times 11 over denominator 100 end fraction equals straight P plus fraction numerator straight P cross times 9 cross times 11 over denominator 400 end fraction
rightwards double arrow 4491 equals straight P open parentheses 1 plus 99 over 400 close parentheses equals straight P open parentheses 499 over 400 close parentheses
rightwards double arrow straight P equals 4491 cross times 400 over 499 equals 9 cross times 400 equals 3600
Amount space in space 3 space years equals straight P plus fraction numerator straight P cross times begin display style 3 end style cross times 11 over denominator 100 end fraction equals 3600 plus fraction numerator 3600 cross times 3 cross times 11 over denominator 100 end fraction equals 3600 plus 1188 equals 4788
Hence comma space the space amount space after space 3 space years space will space be space Rs. space 4788
Answered by Renu Varma | 12 Aug, 2020, 12:09: PM
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