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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

Answer: b
Explanation: Candle – – – – – – – – Bulb
CP . . . . A – – – – – – – – B
SP . . . . C – – – – – – – – D
$$\eqalign{ & and.\,C = 2A \cr & {\text{Profit}} = 10\left( {B – A} \right) = 3D \cr & {\text{Loss}} = 10\left( {C – D} \right) = 4B \cr & {\text{Profit}}\% = \frac{{ {3D \times 100} }}{{10A}} \cr & {\text{Loss}}\% = \frac{{ {4B \times 100} }}{{10C}} \cr & \frac{{ {3D \times 100} }}{{10A}} = \frac{{ {4B \times 100} }}{{10C}} \cr & \frac{B}{D} = \frac{3}{2} = 3:2 \cr} $$

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