Question

The amount of sum money in 2 years and 5 years are Rs 2800 and Rs 3250 respectively. Find the sum

Answer 1

the sum is 6050.
Hope my answer is correct.

Answer 2

The sum is Rs.2500

Step-by-step explanation:

Let the principal be x

Case 1 :

Principal =x

rate of interest = r

Amount = 2800

SI = Amount - Principal = 2800-x

Time = 2 years

$SI = \frac{P \times T \times r}{100}\\2800-x=\frac{x \times 2 \times r}{100}$

$\frac{100(2800-x)}{2x}=r ---1$

Case 2 :

Principal =x

rate of interest = r

Amount = 3250

SI = Amount - Principal = 3250-x

Time = 5 years

$SI = \frac{P \times T \times r}{100}\\3250-x=\frac{x \times 5\times r}{100}$

$\frac{100(3250-x)}{5x}=r ---2$

Equate 1 and 2

$\frac{100(2800-x)}{2x}=\frac{100(3250-x)}{5x}\\\frac{2800-x}{2}=\frac{3250-x}{5}$

x=2500

Hence The sum is Rs.2500

#Learn more:

A sum of money lent out at simple interest amounts to rs 2200 in 1 years and rs 2800 in 4 years find the sum of money and the rate of interest

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