Question

What sum will amount to Rs. 1116 in 4 years at 6% p.a.?
(a) Rs

​

Answer 1

please brainlist my answer

Answer 2

$\sf{\underline{\boxed{\large{\blue{\mathsf{Correct\: Question}}}}}}$

• What sum will amount to Rs.1116 in 4 years at 6% p.a. ??

_______________________

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Amount = Rs.1116
• Time = 4 years
• Rate = 6%

_______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Principle = ?????

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

Let principle be p :-

$\sf{\red{\boxed{\bold{amount = principle + Interest }}}}$

$\sf{\red{\boxed{\bold{Interest = \dfrac{p\times r\times t}{100}}}}}$

$\sf\implies 1116 = p + \dfrac{ p\times 6 \times 4}{100}$

$\sf\implies 1116 = p + \dfrac{ p\times 6 \times \cancel{4}}{100}$

$\sf\implies 1116 = p + \dfrac{ p\times 6 }{25}$

$\sf\implies 1116 = p + \dfrac{6p}{25}$

$\sf\implies 1116 = \dfrac{ 6p + 25p}{25}$

$\sf\implies 1116 = \dfrac{ 31p}{25}$

$\sf\implies p = \dfrac{1116\times 25}{31}$

$\sf\implies p = \dfrac{\cancel{1116}\times 25}{\cancel{31}}$

$\sf\implies p = 36\times 25$

$\sf\leadsto\dag 900$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Rs.900 will amount to Rs.1116 in 3 years at the rate of 6% p.a.