Question

What sum will be the at compound interest 4732 in 2 years at 4% per annum

Answer 1

AnswEr :

• Amount ( A ) = Rs. 4732
• Time ( t ) = 2 Years.
• Rate ( r ) = 4% p.a.
• Principal ( P ) = ?

$\leadsto \sf{Amount = P \times \bigg(1 + \dfrac{r}{100} \bigg)^{t} }$

$\leadsto \sf{4732 = P \times \bigg(1 + \cancel\dfrac{4}{100} \bigg)^{2} }$

$\leadsto \sf{4732 = P \times \bigg(1 + \dfrac{1}{25} \bigg)^{2} }$

$\leadsto \sf{4732 = P \times \bigg(\dfrac{25 + 1}{25} \bigg)^{2} }$

$\leadsto \sf{4732 = P \times \bigg(\dfrac{26}{25} \bigg)^{2} }$

$\leadsto \sf{4732 = P \times \dfrac{676}{625} }$

$\leadsto \sf{ \cancel{4732} \times \dfrac{625}{ \cancel{676}} =P }$

$\leadsto \sf{ 7 \times 625 =P }$

$\leadsto \large\boxed {\sf{P = Rs. \: 4375}}$

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჻ Given Sum will be Rs. 4375.