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The ratio of Science, Arts and Commerce books in a college library is 8 : 5 : 9. These collections are to be increased by 10%, 5% and 5% respectively. What will be the new ratio after the increase?

1. 212 : 117 : 47
2. 37 : 47 : 83
3. 176 : 105 : 189
4. 189 : 115 : 117

Correct answer: 176 : 105 : 189

Solution

After applying increases: Science = 8 x 1.10 = 8.8, Arts = 5 x 1.05 = 5.25, Commerce = 9 x 1.05 = 9.45. Multiplying each by 20 gives 176 : 105 : 189, which is the simplified integer ratio.

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