Question
The marks obtained by X and Y in a quiz are in the ratio
7:5 respectively. If Y had scored 5 more marks, then the marks scored by X would be 30% more than that of Y. What is the difference between actual marks scored by X and Y?Solution
Let X = 7k, Y = 5k Given: if Y had scored 5 more, then X would be 30% more than Y So: X = 130% of (Y + 5) 7k = 1.3(5k + 5) 7k = 6.5k + 6.5 0.5k = 6.5 k = 13 X = 7 × 13 = 91 Y = 5 × 13 = 65 Difference = 91 − 65 = 26
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