16. What sum of money lent out at simple interest at 10% per annum for 15 years will produce the same interest as Rs. 500 lent at 5% per annum for 6 years?
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Answer:
Rate (R) = 4%, Time (T) = 5 years
∴SI=\frac{PRT}{100}=\frac{900\times4\times5}{100}=180Rs.∴SI=
100
PRT
=
100
900×4×5
=180Rs.
In first case, SI = Rs. 180
Rate = 5%, Time = 3 years
∴ Sum = \frac{SI\times100}{R\times T}=\frac{180\times100}{3\times5}=Rs.1200
R×T
SI×100
=
3×5
180×100
=Rs.1200
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