An Apple Vendor

Algebra Level 3

An apple vendor bought 60 boxes of apples. He sold 40 boxes in the morning, each at a price 30% more than what he paid for. In a rush to sell all the boxes by the end of the day, he then sold the remaining boxes in the afternoon, each at a price 20% less than what he paid for. His profit, after paying the stall rental fee of 800 pesos , was 6800 pesos. How much is one box of apples?

Image credit: Flickr SweeTangto


The answer is 950.

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1 solution

Let the price of one box of apples be x. →At first, he bought the boxes at 60x. Then, he sold 40 apples at 130%x each so the total price of the 40 boxes is 40(130%)=52x. In the afternoon, he sold the 20 boxes at 80%x each so the total price of the 20 boxes is 20(80%)=16x. → total-paid= profit (52x+16x)-60x=profit 68x-60x= 8x →Profit=8x=6800+800=7600 8x=7600 x=950 The price of one box of apples is 950 pesos.

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