Question

Geeta sells A $→$ 20% (Profit) and B $→$ 10% (Loss) at the same sp. If she increases SP such that A and B still sold at an equal price and profit of 10% made on B, then profit made on A will be?

• A. 45%
• B. 47%
• C. 42 %
• D. 49%

Answer 1

Answer: (B)

47%

Answer 2

Let the starting selling prices of $A$ and $B$ be $p$.
Given that, she made profit of $20\%$ on $A$,
$⇒ 1.2 \times c = p$
$⇒ c = \frac {5p}{6}$
$⇒$ cost of $A = \frac {5p}{6}$
Given that, she made a loss of 10% on $B.$
$⇒0.9 \times c = p$
$⇒ c = \frac {10p}{9}$
⇒ cost of $B = \frac {10p}{9}$
Now, she sold them at a price such that a $10\%$ profit is made on $B$.
Selling price $= \frac {11}{10}\times \frac {10p}{9} = 9p$
Now,
Profit % on $A$,
$=\frac {\frac {11}{9}-\frac {5}{6}}{\frac 56} \times 100$
$= 46.66\%$
$≃ 47\%$

So, the correct option is (B): $47\%$