Quantitative Aptitude Ques 1432

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} $