Quantitative Aptitude Ques 1431

Question: A sum of Rs. 6344 is divided into 3 parts and given on loan at 5% simple interest to A. B and C for 2, 3 and 4 yr, respectively. If this amounts of all three are equal to their respective of loan, then B received a loan of

Options:

A) Rs. 2112

B) Rs. 2128

C) Rs. 2820

D) Rs. 2802

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given, sum = Rs. 6344 We know that the ratio in which the sum was divided in x parts is given by $ =\frac{1}{100+R _1T _1}:\frac{T}{100+R _2T _2}:\frac{1}{100+R _3T _3} $ $ =\frac{1}{100+5\times 2}:\frac{1}{100+5\times 3}:\frac{1}{100+5\times 4} $ [ $ \because R _1=R _2=R _3=5 $ % , $ T _1=2,yr,T _2=3yrand,T _3=4yr $ ] $ =\frac{1}{110}:\frac{1}{115}:\frac{1}{120} $ $ =\frac{1}{22}:\frac{1}{23}:\frac{1}{24} $ $ =23\times 24:22\times 24:22\times 23 $ $ =552:528=506 $ Now, B received a loan $ =\frac{528}{1586}\times 6344=Rs\text{. 2112} $
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