Question
The ratio of the pocket money of two persons ‘X’ and
‘Y’ is 7:4, respectively. ‘X’ spends 60% of his pocket money while ‘Y’ spends 50% of his pocket money. If the savings of ‘X’ is Rs. 140 more than that of ‘Y’, then find the total pocket money of ‘X’.Solution
Let the pocket money of ‘X’ and ‘Y’ be Rs. 7x and Rs. 4x respectively
According to the question,
(0.4 × 7x) – (0.5 × 4x) = 140
2.8x – 2x = 140 → 0.8x = 140 → x = 175
Therefore, pocket money of ‘X’ = 7x = Rs. 1225
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