Math, asked by anandthakur9682, 11 months ago

What will be the compound interest on a sum of 31,250 for 2 years at 12% p.a., if the interest is compounded 8-monthly?
1) 8106₹
2) 8116₹
3) 8156₹
4) 8016₹​

Answers

Answered by harendrachoubay
11

The "option (2) ₹ 8116" is the correct.

Step-by-step explanation:

Given,

Principal (P) = ₹ 31,250, Rate(r) = 12 × \dfrac{8}{12} % = 8 % per 8-months, Time(n) = 2 years = 3  Eight-monthly

∴ Amount(A) = P( 1 + \dfrac{r}{100})^{3}

=31,250(1 + \dfrac{8}{100}^{3})

=31,250\times\dfrac{27}{25} \times\dfrac{27}{25}\times \dfrac{27}{25}  

= ₹ 2 × 27 × 27 × 27

= ₹ 2 × 19,683

= ₹ 39,366

∴ Compound interest (CI) = Amount - Principal

= ₹ 39,366 - ₹ 31,250 = ₹ 8116

Hence, the "option (2) ₹ 8116" is the correct.

Answered by damodaran4215
3

Answer:

8116 is the correct answer

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