SATHEE: Quantitative Aptitude Ques 507

Quantitative Aptitude Ques 507

Question: A certain amount of money earns Rs. 540 as simple interest in 3 yr. If it earns a compound interest of Rs. 376.20 at the same rate of interest in 2 yr, then find the amount.

Options:

A) Rs. 1600

B) Rs. 2000

C) Rs. 1800

D) Rs. 2100

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Here, SI =540 and t = 3 yr

$ \therefore $ $ \frac{P\times 3\times r}{100}=540 $
$ \Rightarrow $ $ r=\frac{540\times 100}{3P}=\frac{18000}{P} $ Now, CI = 376.20 and t = 2 yr

$ \Rightarrow $ 376.20 $ =P[ {{( 1+\frac{18000}{100P} )}^{2}}-1 ]=P[ {{( 1+\frac{180}{P} )}^{2}}-1 ] $ $ =P[ \frac{P^{2}+32400+360P-P^{2}}{P^{2}} ] $ $ 376.20=\frac{32400+360P}{P} $

$ \Rightarrow $ $ ,376.20P=32400+360P $

$ \Rightarrow $ $ 16.20P=32400 $
$ \Rightarrow $ $ P=Rs.2000 $

Quantitative Aptitude Ques 506

Quantitative Aptitude Ques 508

Quantitative Aptitude Ques 507

Question: A certain amount of money earns Rs. 540 as simple interest in 3 yr. If it earns a compound interest of Rs. 376.20 at the same rate of interest in 2 yr, then find the amount.

Options:

Answer:

Solution:

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