soham and sayan invested ₹36000 and ₹25000 respectively at the rate of interest per year if at the end of 4 year's soham gets ₹3080 more interest than sayan. find the rate of simple interest
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Answer:P’s investment (p1) = Rs. 36000
And Q’s investment (p2) = Rs. 25000
Period (T) = 4 years, Let rate of interest = x%
Q’s interest = \frac{Rs.36000\times x\times4}{100}=Rs.1000x
100
Rs.36000×x×4
=Rs.1000x
Difference in their interest
= (1440 - 1000) x = Rs. 440x
But difference = Rs. 3080
∴440x=3080>x=\frac{3080}{440}>x=7\%∴440x=3080>x=
440
3080
>x=7%
∴ Rate of interest = 7% p.a
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