Question

A sum of rs 12500 amount to rs 15500 in 4 years @ simple interest. What is the rate of interest?

Answer 1

Step-by-step explanation:

principle 12500

simple interest =15500

time 4yrs

rate?

therefore

shown in pic

Answer 2

Answer:

The rate is 6%

Step-by-step explanation:

Given :

Amount = Rs. 15,500

Sum = Rs. 12,500

Time = 4 years

To find :

The rate of interest

Solution :

Principal = 12,500

Amount = 15,500

Time = 4 years

Rate = R

$\boxed{\tt{Amount = Principal + Simple \: Interest}}$

$\tt{\implies} \: 15500 = 12500 + SI \\ \\ \tt{\implies} \: SI = 15500 - 12500 \\ \\ \tt{\implies} \:SI = 3000$

Simple Interest = Rs. 3000

$\rule{300}{1.5}$

$\boxed{\tt{SI = \frac{Principal \times Rate \times Time}{100}}}$

$\tt{\implies} \: 3000 = \dfrac{12500 \times 4 \times R}{100} \\ \\ \tt{\implies} \: 3000 = 125 \times 4 \times R \\ \\ \tt{\implies} \: 3000 = 500R \\ \\ \tt{\implies} \: R = \dfrac{3000}{500} \\ \\ \tt{\implies} \: R = 6\%$

Rate = 6%

$\therefore$ The rate is 6%