Question

Profit on selling 10 candles equals selling price of 3 bulbs. While the loss on selling 10 bulbs equals selling price of 4 candles. Also, profit percentage equals to the loss percentage and cost of a candle is half of the cost of a bulb. What is the ratio of selling price of the candle to the selling price of a bulb?

• A. 5:4
• B. 3:2
• C. 4:5
• D. 3:4

Answer 1

The correct option is B 3:2

Candle Bulb
CP a c
SP b d
and c = 2a
Profit = 10 (b-a) = 3d
and Loss = 10 (c-d) = 4b
Profit (%) $=\frac{3d}{10a}\times 100$
and Loss (%) $=\frac{4b}{10c}\times 100$
Again $\frac{3d}{10a}\times 100=\frac{4b}{10c}\times 100$
$\Rightarrow \frac{3d}{a}=\frac{4b}{c}\Rightarrow \frac{3d}{a}=\frac{4b}{2a}$ $(\because c=2a)$
$\Rightarrow \frac{b}{d}=\frac{3}{2}$