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SSC MTS 2024 PYQ — Question 14

SSC MTS - 08/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q14

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360 toffees are distributed among Pushkal, Quadir, and Rustam in the ratio 2 : 3 : 4. After distribution, Quadir gives 20% of his toffees to Pushkal, and Rustam gives 25% of his toffees to Pushkal. What is the new ratio of toffees with Pushkal, Quadir, and Rustam?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 6 : 4 : 5.

Total = 360

Pushkal got = 29×360{2\over9}\times360 = 80

Quadir got = 39×360{3\over9}\times360 = 120

Rustam got = 49×360{4\over9}\times360 = 160

Quadir gives 20% of 120 = 24 to Pushkal

Rustam gives 25% of 160 = 40 to Pushkal

New number of toffees:

Pushkal = 80 + 24 + 40 = 144

Qadir = 120 - 24 = 96

Rustam = 160 - 40 = 120

New ratio = 144 : 96 : 120 = 6 : 4 : 5