Question

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%?.

Answer 1

CP of 300 apples = Rs 50 per dozen

300 apples = $\frac{300}{12}$ dozen

i.e 25 dozen

1 dozen = Rs 50

25 dozen = Rs $(25\times 50)$

= Rs 1250

$\therefore$ CP of 300 applies = Rs 1250

overall profit % should be 12%

$\therefore$ profit = $\frac{12\times CP}{100}$

$=\frac{12\times 1250}{100}=$ Rs 150

$\therefore$ SP should be 1250 + 150 = Rs 1400

Now,

SP of 200 apples = Rs 50 per 10 apple

SP of 200 apples = $\frac{50}{10}\times 200=$ Rs 1000

Now he has to make Rs 400 (1400 - 1000) by selling

last 100 apples

$\therefore$ SP of 100 apples = Rs 400

SP of 1 apple = $\frac{400}{100}$

= Rs 4