Question

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

• A. 27,000
• B. 28,000
• C. 30,000
• D. 32,000

Answer 1

Answer: (D)

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