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  4. A certain sum amounts to ₹ 72,000 in 4 year and ₹82000 in 5 years at simple interest Calculate the sum.

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Q. A certain sum amounts to $₹ 72,000$ in 4 year and $₹82000$ in 5 years at simple interest Calculate the sum.

Simple Interest and Compound Interest

Solution:

$S I=\frac{P I R}{100} $
$A=S I+P$
$72000=\frac{P \times 4 \times R}{100}+P$
$82000=\frac{P \times 5 \times R}{100}+P$
Solving two equations,
$82000=\frac{P \times 5 \times R}{100}+P $
$72000=\frac{P \times 4 \times R}{100}+P $
$\frac{(-)}{(-)}(-) $
$10000=\frac{P R}{100} $
$P R=1000000 $
$72000=\frac{1000000 \times 4}{100}+P $
$P=32000$