Question 49

A cycle agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs. 3150. Find at what price he must sell the first grade bicycles so that if he sells the second grade bicycles at three quarters of the price, he may make a profit of 40% on his outlay?

Solution

Let selling price of 1st grade cycle be Rs. $$4x$$ and of 2nd grade cycle be Rs. $$3x$$

Total selling price = $$\frac{140}{100}\times3150=Rs.$$ $$4410$$

According to ques,

=> $$(8\times4x)+(22\times3x)=4410$$

=> $$32x+66x=98x=4410$$

=> $$x=\frac{4410}{98}=45$$

$$\therefore$$ Selling Price of 1st grade cycles = $$4\times45=Rs.$$ $$180$$

=> Ans - (C)

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