1.

Find the compound interest on ₹ 2000 at 15% per annum for 2 year 4 months, compounded annually. ​

Answer»

ANSWER:

Step-by-step explanation:

The COMPOUND interest on Rs. 8,000 at 15% PER annum for 2 years 4 months, compounded annually is :

[A]Rs. 3109

[B]Rs. 3091

[C]Rs. 2980

[D]Rs. 3100

3109 Rs.

Amount = p\left ( 1+\frac{R}{100} \right )^{t}

= 8000\left ( 1+\frac{15}{100} \right )^{2\frac{1}{3}}

= 8000\left ( 1+\frac{3}{20} \right )^{2}\left ( 1+\frac{3}{20\times 3} \right )

= 8000\times \frac{23}{20}\times\frac{23}{20}\times\frac{21}{20}

= Rs. 11109  

∴ Compound Interest = Rs. (11109 – 8000) = Rs. 3109

Hence OPTION [A] is the right ansewr.



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