A sum Amounts to Rs 1326 in 6 years at 5% per annum In What time will this sum - Maths - Algebraic Expressions

Question

A sum Amounts to Rs 1326 in 6 years at 5% per annum In What time
will this sum double itself at the same rate of intrest?

Shridhar Kaushik · Accepted Answer

Let Principle amount be Rs x Given that time (t) = 6 years rate (r) = 5 % per annum âˆ´ Interest Received on Rs x is $= \frac{x \times 5 \times 6}{100} = \frac{3}{10} x$ According to Question- $x + \frac{3 x}{10} = 1326 \Rightarrow 10 x + 3 x = 13260 \Rightarrow 13 x = 13260 \Rightarrow x = 1020$ â‡’ Principle Amount (P) = Rs 1020 Now Rate (r) = 5% per annum We have to find the time (t) in which amount gets doubled â‡’ Interest Received = Rs 1326 $∴ 1326 = \frac{1326 \times 5 \times t}{100} \Rightarrow \frac{100}{5} = t \Rightarrow t = 20 years$ Hence the sum will double in 20 years

A sum Amounts to Rs 1326 in 6 years at 5% per annum. In What time will this sum double itself at the same rate of intrest?