Question

Rahul borrowed a certain sum of money at 12% per annum for3 years and Ranjana borrowed the same sum at 18% per annum for 6 years . Find the ratio of their amounts.

Answer 1

The formula of amount =P(1+R/100)

where p is principle and r stands for rate of interest

now in case one that is of Rahul solve according to the formula.

now in case two that is of Ranjana, find amount according to the formula given on the top

now you will get amount of both case one and case two and write the ratio of those numbers suppose the amount is 2in case one and amount is 9 in case 2 then your answer will be 2 : 9 similarly compute answers

Answer 2

Step-by-step explanation:

The ratio of their amount is 13:25

Step-by-step explanation:

Let the sum be x

Formula:-

A=P(1+r)^tA=P(1+r)t

Rahul borrowed a certain sum of money at 12% per anumm for 3 years.

Amount of Rahul in 3 years,

A_{Rahul}=x(1+0.12)^3ARahul=x(1+0.12)3

A_{Rahul}=x(1.12)^3ARahul=x(1.12)3

Ranjana borrowed the same sum at 18 % per annum for 6 years.

Amount of Ranjana in 6 years,

A_{Ranjana}=x(1+0.18)^6ARanjana=x(1+0.18)6

A_{Ranjana}=x(1.18)^6ARanjana=x(1.18)6

The ratio of amount of Rahul to amount of Ranjana

\Rightarrow \dfrac{x(1.12)^3}{x(1.18)^6}⇒x(1.18)6x(1.12)3

\Rightarrow \dfrac{13}{25}⇒2513