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# A sum of RS. 400 amounts to RS. 441 in 2 yr. What will be its amount, if the rate of interest is increased by 5%?

 A) RS.484 B) RS.560 C) RS.512 D) RS.560

 A) RS.484

According to the given conditign

441=$$\Large 400 \left(1+ \frac{R}{100}\right)^{2}$$

=> $$\Large \frac{441}{400}$$= $$\Large \left(1+ \frac{R}{100}\right)^{2}$$

=> $$\Large \left(\frac{21}{20}\right)^{2}$$=$$\Large \left(1+ \frac{R}{100}\right)^{2}$$

=> $$\Large \frac{21}{20}$$=$$\Large 1+ \frac{R}{100}$$

=> $$\Large \frac{21}{20}-1=\frac{R}{100}$$ => $$\Large \frac{R}{100}=\frac{1}{20}$$

R=5%

New rate = 5+5=10%

Amount=$$\Large 400 \left(1+ \frac{10}{100}\right)^{2}$$

=$$\Large 400\times 11/10\times 11/10$$=RS.484

Part of solved Compound interest questions and answers : >> Aptitude >> Compound interest

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