Question

A man earn 225 as an interest in 2yr a certain sum invested with a company at the rate of 10% per anum.Find the sum invested by the man in the company​

Answer 1

Given :

Simple interest : ₹225

Rate of interest : 10%

Time : 2 years

To find :

The sum invested in the company.

Solution :

${\sf \dashrightarrow \dfrac{P \times R \times T}{100}}$

${\sf \dashrightarrow 225 = \dfrac{P \times 10 \times 2}{100}}$

${\sf \dashrightarrow 225 = \dfrac{P \times 20}{100}}$

${\sf \dashrightarrow P = \dfrac{225 \times 100}{20}}$

${\sf \dashrightarrow P = \dfrac{45 \times 100}{4}}$

${\sf \dashrightarrow P = \dfrac{4500}{4}}$

${\sf \dashrightarrow P = \cancel \dfrac{4500}{4} = 1125}$

Hence, the principle amount invested is ₹1125.

Verification

${\sf \dashrightarrow SI = \dfrac{P \times R \times T}{100}}$

${\sf \dashrightarrow 225 = \dfrac{1125 \times 10 \times 2}{100}}$

${\sf \dashrightarrow 225 = \dfrac{1125 \times 20}{100}}$

${\sf \dashrightarrow 225 = \dfrac{1125 \times 1}{5}}$

${\sf \dashrightarrow 225 = \dfrac{1125}{5}}$

${\sf \dashrightarrow 225 = 225}$

${\sf \dashrightarrow LHS = RHS}$