Question

A certain sum amounts to Rs.7350 in 2 years and to Rs.9261 in 3 years.find the sum and rate percent?

Answer 1

Answer:

Sum = 3528 and rate percent = 54.17

Step-by-step explanation:

Let's assume the sum = P and rate percent = R

Amount in 2 years = P(1 + $\frac{2R}{100}$ ) = ₹7350 [equation 1]

Amount in 3 years = P(1 + $\frac{3R}{100}$ ) = ₹9261 [equation 2]

Dividing equation 2 by equation 1:

$\frac{(1 + \frac{3R}{100} )}{(1 + \frac{2R}{100} )}$ = $\frac{9261}{7350}$ = $\frac{3087}{2450}$ = $\frac{441}{350}$ = $\frac{63}{50}$

=> 50 + $\frac{3R}{2}$ = 63 + $\frac{63R}{50}$

=> R($\frac{75 - 63}{50}$) = 13

=> R = $\frac{13 x 25}{6}$ = 54.17

Putting the value of R in equation 1:

P(1 + $\frac{13 x 25}{6 x 50}$ ) = 7350

∴ P = $\frac{7350 x 12}{25}$ = 3528