Question

If Amit makes a profit of $5\%$ on ${\frac{3}{4}}^{th}$ of the quantity of apples sold and a loss of $10\%$ on the rest of the apples, then his net percent profit or loss is

• A. 7.5%
• B. 10%
• C. 12.5%
• D. 15%

Answer 1

The correct option is C 12.5%

Let CP of the quantity = ₹ 1000

CP of ${\frac{3}{4}}^{th}$ of the apples is ₹ 750

Profit on ${\frac{3}{4}}^{th}$ of the quantity of apples

$=\frac{5}{100}\times CP=\frac{5}{100}\times 750=37.5$

$\therefore$ SP = CP + profit

=750 + 37.5 = ₹ 787.5

CP of ${\frac{1}{4}}^{th}$ of the apples is ₹ 250

Loss on ${\frac{1}{4}}^{th}$ of the quantity $=10\%$ of 250 =₹ 25

$\Rightarrow$ Selling price (SP) = 250 - 25 = ₹ 225

$\Rightarrow$ Total SP = 787.5 + 225 = ₹ 1012.5

The total selling price is more than the cost price

$\Rightarrow$ Profit = 1012.5 – 1000 = ₹ 12.5

$\therefore \%$ Profit $=(\frac{12.5}{100}\times 100)$

$\%Profit=12.5\%$