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Electrical Engineering

Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = 50; Z = 40 B) Y = 40; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75

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Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = 50; Z = 40 B) Y = 40; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75
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Answer: C

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x)

i.e., (140/100 * 5x), (150/100 * 7x) and (175/100 * 8x)

i.e., 7x, 21x/2 and 14x

Required ratio = 7x:21x/2:14x

= 14x : 21x : 28x = 2:3:4

40% of 5 = 2, total seats 5+2=7

50% of 7 = 7/2 total seats 7+7/2=21/2

75% of 8 = 6 total seats 8+6=14

Now compare ratios of all 7:21/2:14=>14:21:28

=>2:3:4


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