Question

1. Ritu borrowed some money at 12% per annum. She had to pay < 180 as interest after 3 years. When
did she borrow?​

Answer 1

Correct Question

Ritu borrowed some money at 12% per annum. She had to pay ₹180 as interest after 3 years. How much money did she borrow?

Answer

Given :

Simple Interest : ₹180

Rate of interest : 12%

Time : 3 years

To find :

The principle amount borrowed by Ritu.

Solution :

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

${\sf \dashrightarrow 180 = \dfrac{P \times 12 \times 3}{100}}$

${\sf \dashrightarrow 180 = \dfrac{P \times 36}{100}}$

${\sf \dashrightarrow P = \dfrac{180 \times 100}{36}}$

${\sf \dashrightarrow P = \dfrac{18000}{36}}$

${\sf \dashrightarrow P = \cancel \dfrac{18000}{36} = 500}$

Hence, the principle amount borrowed by Ritu is ₹500.

Verification

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

${\sf \dashrightarrow 180 = \dfrac{500 \times 12 \times 3}{100}}$

${\sf \dashrightarrow 180 = \dfrac{500 \times 36}{100}}$

${\sf \dashrightarrow 180 = \dfrac{18000}{100}}$

${\sf \dashrightarrow 180 = 180}$

${\sf \dashrightarrow LHS = RHS}$