The cost of 4 shirts and 3 trousers is ₹1700. If the price of a shirt is 37.5% more than the price of a trouser, what is the difference between the price of a shirt and a trouser?

Correct answer: 75

Solution

If trouser price is x, then shirt price is 37.5% more, i.e. 1.375x = 11x/8. Using 4 shirts + 3 trousers = 1700 gives 4(11x/8)+3x = 1700, so x = 200. Hence shirt = 275 and the difference is 75.

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