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SSC CGL 2022 PYQ — Question 73

SSC CGL - 02 Dec 2022 - Shift 4 • Quantitative Aptitude • Q73

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The number of books on Mathematics, Physics and Chemistry in a University library is in the ratio 8 : 5 : 9. There is a proposal to increase these books by 10%, 5% and 5% respectively. What will be the ratio of the number of books after increment?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 176 : 105 : 189

Given:

Ratio of books on Mathematics, Physics and Chemistry = 8 : 5 : 9

Concept Used:

Increased value = Initial value×(100+increment)100Initial\ value \times {(100 + increment) \over 100}

Explanation:

Let initially, the number of books on Mathematics, Physics and Chemistry be 800, 500 and 900 respectively.

Inereased value of books of mathematics = 800×110100800 \times {110 \over 100} = 880

Inereased value of books of physics = 500×105100500 \times {105 \over 100} = 525

Inereased value of books of chemistry = 900×105100900 \times {105 \over 100} = 945

Now, the required ratio = 880 : 525 : 945 = 176 : 105 : 189

Hence the ratio of books on Mathematics, Physics and Chemistry after increment is 176 : 105 : 189.