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Question

# The number of candidates appearing for three different entrance exams are in the ratio 4:5:6. For the next academic year, there is a proposal to increase the number of candidates appearing for these exams by 40%, 60% and 85% respectively. What will be the ratio of the number of candidates appearing for the entrance exams in the next academic year?

A

14:15:16

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B

12:15:19

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C

13:49:94

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D

56:80:111

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E

None of these

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Solution

## The correct option is D 56:80:111 The ratio of number of candidates is 4:5:6. Let the number of candidates for the three entrance exams be 4k, 5k and 6k respectively. After increasing, number of candidates become (140% of 4k), (160% of 5k) & (185% of 6k) →140×4k100,160×5k100 and 185×6k100 = 56k10, 80k10 and 111k10. ∴ The required new ratio = 56:80:111

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