Quantitative Aptitude Ques 1173

Question: A, B and C started a business, A invests $ \frac{1}{2} $ capital for $ \frac{1}{4} $ times, B invests $ \frac{1}{8} $ of capital for $ \frac{1}{2} $ times and C invests the remaining capital for whole time. Find the share of B in the total profit of Rs. 9900.

Options:

A) Rs. 2200

B) Rs. 1100

C) Rs. 6600

D) Rs. 4400

Show Answer

Answer:

Correct Answer: B

Solution:

  • C’s capital $ =1-( \frac{1}{2}+\frac{1}{8} )=1-\frac{5}{8}=\frac{3}{8} $ Ratio of capital of A, B and C, $ ( \frac{1}{2}\times \frac{1}{4} ):( \frac{1}{8}\times \frac{1}{2} ):( \frac{3}{8}\times 1 ) $ $ =\frac{1}{8}:\frac{1}{16}:\frac{3}{8}=2:1:6 $ B’s share $ =\frac{1}{9}\times 9900=Rs\text{. 1100} $
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