The simple interest on a sum for 8 years is ₹ | vedclass

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(A) Let the principal sum be $P$.The total time is $8$ years,split into two periods: $5$ years at $10 \%$ per annum and $3$ years at $15 \%$ per annum

Vedclass · Accepted Answer

$50000$

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(A) Let the principal sum be $P$.The total time is $8$ years,split into two periods: $5$ years at $10 \%$ per annum and $3$ years at $15 \%$ per annum.The formula for simple interest is $SI = \frac{P 	imes R 	imes T}{100}$.Total Interest $= \frac{P 	imes 10 	imes 5}{100} + \frac{P 	imes 15 	imes 3}{100} = 47500$.$\frac{50P}{100} + \frac{45P}{100} = 47500$.$\frac{95P}{100} = 47500$.$0.95P = 47500$.$P = \frac{47500}{0.95} = 50000$.Therefore,the sum is ₹ $50000$.

The simple interest on a sum for $8$ years is ₹ $47500$. The rate of interest is $10 \%$ per annum for the first $5$ years and $15 \%$ per annum for the next $3$ years. What is the value (in ₹) of the sum?

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