A sum of money at CI amounts to thrice itself in $3$ years. In how many years will it be $9$ times itself?

18

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $6$
$\Rightarrow$ Let the sum = $R s . x$ .
$\Rightarrow$ Then we have $3 x = x (1 + \frac{r}{100})^{3}$
$\Rightarrow$ By squaring both the sides,
$\Rightarrow$ $9 x^{2} = x^{2} (1 + \frac{r}{100})^{6}$
$∴$ The sum x will be 9 times in $6 y e a r s .$

Suggest Corrections

Similar questions

Q. A sum of money at C.I amounts to thrice itself in

6

years.Find in how many years will it be

9

times itself

Q. If a sum of money at compound interest amounts to thrice itself in 3 years, then in how many years will it be 9 times of itself?

Q. A sum of money at compound interest amounts thrice itself in 3 years. In how many years will it be times itself?

A sum of money doubles itself in $3$ years at CI, when the interest is compounded annually.In how many years will the sum amount to $16$ times of itself?

Q. A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times itself?

Join BYJU'S Learning Program

A sum of money at CI amounts to thrice itself in 3 years. In how many years will it be 9 times itself?

The correct option is C 6⇒ Let the sum = Rs.x.⇒ Then we have 3x=x(1+r100)3⇒ By squaring both the sides,⇒ 9x2=x2(1+r100)6∴ The sum x will be 9 times in 6years.

A sum of money at CI amounts to thrice itself in $3$ years. In how many years will it be $9$ times itself?

The correct option is C $6$
$\Rightarrow$ Let the sum = $R s . x$ .
$\Rightarrow$ Then we have $3 x = x (1 + \frac{r}{100})^{3}$
$\Rightarrow$ By squaring both the sides,
$\Rightarrow$ $9 x^{2} = x^{2} (1 + \frac{r}{100})^{6}$
$∴$ The sum x will be 9 times in $6 y e a r s .$