| 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? |
A) 5 : 4
B) 3 : 2
C) 4 : 5
D) 3 : 4
Correct Answer: B
Solution :
| |||||||||
| 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, | |||||||||
| \[\frac{3d}{10a}\times 100=\frac{4b}{10c}\times 100\] | |||||||||
| \[\Rightarrow \] \[\frac{3d}{a}=\frac{4b}{c}\]\[\Rightarrow \]\[\frac{3d}{a}=\frac{4b}{2a}\] \[[\because c=2a]\] | |||||||||
| \[\Rightarrow \] \[\frac{b}{d}=\frac{3}{2}\] |
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