Question: Profit on selling 10 candles equals selling price of 3 bulbs. While 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 candle to the selling price of a bulb?
Options:
A) 5 : 4
B) 3 : 2
C) 4 : 5
D) 3 : 4
Show Answer
Answer:
Correct Answer: B
Solution:
- Candle Bulb
CP a c
SP b d
and $ c=2a $
Profit $ =10(b-a)=3d $
Loss $ =10(c-d)=4b $
$ Profit%=\frac{3b}{10a}\times 100 $
$ Loss%=\frac{4b}{10c}\times 100 $
According to the question,
$ \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} $