Exams › SSC CGL (Prelims) › General

A basket contains apples and oranges in the ratio 5:3. After removing 10 apples and adding 14 oranges, the new ratio becomes 1:1. How many fruits were there originally?

1. 80
2. 112
3. 104
4. 96

Correct answer: 96

Solution

Let apples and oranges be \(5x\) and \(3x\). After the change, apples = \(5x-10\) and oranges = \(3x+14\). Since the new ratio is 1:1, \(5x-10=3x+14\), giving \(x=12\). So the total original fruits were \(5x+3x=96\).

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