Find the sum on which the compound interest for 3 years at 10% per annum amounts to1,655.
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Let the sum of money required be ₹P
r=10% p.a
T=3 yrs
n=3
C.I=₹1655
Amount =₹(P+1655)
Amount =P(1+r/100)^n
P+1655=P(1+10/100)^3
P+1655=P×(110/100)^3
P+1655=P×(1331/1000)
P+1655=1331/1000P
1331/1000P-P=1655
331/1000P=1655
therefore,
P=(1655×1000)/331
P=₹5000
Therefore,the sum of money =₹5000
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tanisha8994:
can u explain how 1331 changed to 331
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