maths plse help me..
posted by Anonymous .
A fruit vendor buys 300 apples at Rs 50 per dozen. The vendor sold 200 of them at Rs 50 per 10 apples. At what rate per apple should the vendor sell the remaining apples to make an overall profit of 12% ?

cost: 300/12 * 50 = 1250
12% profit = 150
so, he needs total sales of 1400
1st 200: 200/10 * 50 = 1000
the remaining 100 apples must sell for 400, or Rs40 each 
cost price per apple = 50/12 = 25/6
total paid for the 300 apples = 300(25/6) = 1250
to have an overall profit of 12%,
the total selling price must be 1.12(1250) = 1400
so far he sold 200 at 50/10
so far he took in 200(50/10) = 1000
so he needs to make Rs 400 on the remaining 100 apples
or
400/100 = Rs 4 per apple
check:
200 apples @ Rs 5 = 1000
100 apples @ Rs 4 = 400
total = 1400