Question

Rahul borrowed a certain sum of money at 12% per annum for 3 years and Ranjana borrowed the same sum at 18 % per annum for 6 years find the ratio of their amount ​

Answer 1

Step-by-step explanation:

the formula of amount=P(1+r/100)

where p is principal and r stand for rate of interest

case 1= that Rahul solved according to the formula

case2=that ranjana find amount according to the formula given in top

now you will get amount of both case .

write the ratios of those no.s

Answer 2

The ratio of their amount is 13:25

Step-by-step explanation:

Let the sum be x

Formula:-

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

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

Amount of Rahul in 3 years,

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

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

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

Amount of Ranjana in 6 years,

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

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

The ratio of amount of Rahul to amount of Ranjana

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

$\Rightarrow \dfrac{13}{25}$

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