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1. Profit on selling 10 candles equals selling price of 3 bulbs. While loss on selling 10 bulbs equal 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 candles to the selling price of a bulb?

A. 5 : 4

B. 3 : 2

C. 4 : 5

D. 3 : 4

Solution:

Candle - - - - - - - - Bulb
CP . . . . A - - - - - - - - B
SP . . . . C - - - - - - - - D

\begin{aligned} a n d . C = 2 A \\ Profit = 10 (B - A) = 3 D \\ Loss = 10 (C - D) = 4 B \\ Profit % = \frac{3 D \times 100}{10 A} \\ Loss % = \frac{4 B \times 100}{10 C} \\ Now, By the questions, \\ \frac{3 D \times 100}{10 A} = \frac{4 B \times 100}{10 C} \\ \frac{B}{D} = \frac{3}{2} = 3 : 2 \end{aligned}

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