Question

At what rate a sum of Rs 6000 will amount to Rs 7800 in 5years

Answer 1

At 6% rate a sum of Rs. 6000 will amount to Rs. 7800 in 5 years.

Step-by-step explanation:

Given, Principal = P = Rs. 6000

Amount = A = Rs. 7800

Time = T = 5 years

Rate of interest = R% = $\frac{R}{100}$

Interest = I = A - P = Rs. 7800 - Rs. 6000 = Rs. 1800

Interest = P x $\frac{R}{100}$ x T

=> 1800 = 6000 x $\frac{R}{100}$ x 5

=> 1800 = 300 x R

=> R = $\frac{1800}{300}$ = 6%

Hence, at 6% rate a sum of Rs. 6000 will amount to Rs. 7800 in 5 years.

Answer 2

The rate of interest is 6% per annum.              

Step-by-step explanation:

principle = Rs 6000

Interest = Rs(7800-6000) = Rs 1800

Time = 5 year

Interest$=\frac{prt}{100}$

$\Leftrightarrow 1800=\frac{6000\times 5 \times r}{100}$

$\Leftrightarrow r =\frac{1800 \times 100}{6000\times 5}$

$\Leftrightarrow r =6$

The rate of interest is 6% per annum.