find the sum on which the compound interest for 3 years at 10% per annum amounts to rupees 1655
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Let, the sum =P.
Given time (n)=3 years.
Rate of interest (r)=10%.
C.I. = Rs. 1655
Since, Amount (A)=P(1+
100
r
)
n
⇒A=P(1+
100
10
)
3
⇒A=P(
10
11
)
3
=(
1000
1331
)P
Also, A−P= C.I.
⇒(
1000
1331
)P−P =1655
⇒(
1000
331
)P =1655
⇒P= Rs. 5000
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