SATHEE: Quantitative Aptitude Ques 247

Quantitative Aptitude Ques 247

Question: The simple interest obtained when a sum of money is invested for 4 yr at 18% per annum is Rs. 427 more than the simple interest obtained if the same sum of money is invested for 2 yr at 22% per annum. What is the amount obtained when the same sum of money is invested for 4 yr at 18% per annum? [SBI Associate (Clerk) 2015]

Options:

A) Rs. 2130

B) Rs. 2623

C) Rs. 1096

D) Rs. 1854

E) Rs. 2475

Show Answer

Answer:

Correct Answer: B

Solution:

Let the principal amount be Rs. P. Then, $ \frac{P\times 4\times 18}{100}-\frac{P\times 2\times 22}{100}=427 $

$ \Rightarrow $ $ \frac{18P}{25}-\frac{22P}{50}=427 $

$ \Rightarrow $ $ \frac{36P-22P}{50}=427 $

$ \Rightarrow $ $ 14P=427\times 50 $

$ \Rightarrow $ $ P=\frac{427\times 50}{14}=30.5\times 50 $

$ \therefore $ $ P=Rs.,1525 $

$ \therefore $ Required sum $ =P+\frac{P\times 4\times 18}{100} $ $ =1525+\frac{1525\times 4\times 18}{100} $ $ =1525+61\times 18=Rs.,2623 $

Quantitative Aptitude Ques 246

Quantitative Aptitude Ques 248

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