CAT 2017 Quantitative Ability

Question : 34 of 34

Marks: +1, -0

The ratio of selling price of 3 articles A, B and C is 8 : 9 : 5 and the ratio of percentage profit is 8 : 7 :14 respectively. If the profit percentage of A is 14.28% and the cost price of B is ₹ 400, What is the overall percentage gain?

14.28%
14.87%
16.66%
None of these

Validate

Solution:

since

1428 \%=\;{1}/{7}

So, the ratio of profit percentage of

A \;\;\;\; B \;\;\;\;\; C

8 \;\;\;\; 7\;\;\;\; 14 (\;\text " Given "\;)

↓ \;\;\; ↓ \;\;\; ↓

{1}/{7} \;\;\;\;{1}/{8} \;\;\;\;{1}/{4}

Thus the ratio of

{CP}

{A}: B: C

7: 8: 4

Therefore % profit

=\;{(8+9+5)-(7+8+4)}/{(7+8+4)} × 100

=\;{3}/{19} × 100=15.78 \%

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