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Question

The value of x:y is _____, if (4x+7y):(5x−y) is the duplicate ratio of 5:1

A
32:121
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B
25:1
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C
1:5
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D
1:25
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Solution

The correct option is A 32:121
(4x+7y):(5xy) is the duplicate ratio of 5:1.
Also, the duplicate ratio of 5:1 is 25:1.
4x+7y5xy=2514x+7y=125x25y
125x4x=7y+25y
121x=32y
xy=32121
x:y=32:121

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