Question

A fruit seller buys 100 kg apples at the rate of Rs 20 per kg. He sold $\frac{2}{5}$ of the apples at a loss of 7%. At what rate must he sell the remaining apples to make a profit of 15% on the sale of all apples?

• A. $19.06\%$
• B. $29.66\%$
• C. $79.56\%$
• D. $69.66\%$

Answer 1

The correct option is B $29.66\%$

Cost price of apple$=Rs.20$per Kg

$\therefore$ cost price of $100$kg apples $=$Rs $100\times 20$

$=$Rs.$2000$

$\frac{2}{5}$ apples of $100$ kg $=\frac{2}{5}\times 100=40$ kgs

Selling price of $40$ kg $=93$ percentage of C.P of $40$ kg

$=\frac{93}{100}\times 800$

$=RS.744$

Required selling price to get total profit $15$percentage

$=115$ percentage of total cost price

$=\frac{115}{100}\times 2000$

$=RS.2300$

$\therefore$ Selling price of remaining $60$ kg

$=Rs.(2300-744)$

$=Rs.1556$

$\therefore$ Requried profit $=(1556-1200)$

$=$Rs.$356$

$\therefore$ Profit percentage $=\frac{356}{1200}\times 100$

$=29.66$percentage