A fruit seller purchased some apples and mangoes for the same price, and planned to sell mangoes at 20%profit and apples at 30% profit. He made certain baskets of apples and mangoes. Every basket has equal no. of apples and mangoes. He realized that from each basket he has a profit of 24%. He sold the remaining apples at a 30% profit. On the whole he made a profit of 25%. What was the ratio of the no. of apples to that of the no. of mangoes which he purchased?
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Since everything is in terms of the apple. Let cost of one apple be 1.
Then selling price of apple = 2*1=2 .
Also, cost of mango = 2*1=2,
and selling price of mango = 3*2 = 6
Profit on a mango = 6-2 = 4
Profit on an apple =2-1 = 1
Now let's say he sells m mangoes and a apples, then150% = (Total profit)/(Total cost) = (4m+a)/(2m+a)3/2 = (4m+a)/(2m+a)
=> 6m+3a = 8m+2a
=> 2m = a
=> m/a = 1/2 => m:a = 1:2
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