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Question

A man buys oranges at Rs $$5$$ a dozen and an equal number at Rs $$4$$ a dozen. He sells them at Rs$$ 5.50$$ a dozen and makes a profit of Rs$$ 50$$. How many oranges does he buy?


Solution

Cost Price of $$2$$ dozen oranges Rs.$$ (5 + 4) =$$ Rs.$$ 9.$$
Sell price of $$2$$ dozen oranges $$= $$Rs. $$11. $$
If profit is Rs $$2$$, oranges bought $$= 2$$ dozen.
If profit is Rs. $$50,$$ oranges bought $$= \dfrac{2}{2} \times 50$$ dozens $$= 50$$ dozens.

Mathematics

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