Question

The cost price of 12 candles is equal to the selling price of 20 candles.find the gain or loss %.

Answer 1

$\textbf {Hey there, here is the solution.}$

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Let the cost of 1 candle be x.

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STEP 1: Find the cost price of 20 candles

Cost Price of 1 candles = x

Cost Price of 20 candles = 20x

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STEP 2: Find the selling price of the of 20 candles

Selling Price of 20 candles = 12x

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STEP 3: Find the profit/loss

Since 12x < 20x

⇒ It is a loss

Loss = 20x - 12x

Loss = 8x

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STEP 4: Find the loss percentage:

Loss percentage = 8x/12x x 100 = 66.67%

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Answer: The transaction has a loss of 66.67%

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⭐$\textbf {Cheers}$⭐

Answer 2

Let's take 'X' as the C.P of 12 candles, 

S.P of 15 candles = x    (Given)
C.P of 12 candles = S.P of 15 candles = x
C.P of 1 candle = x ÷ 12
S.P of 1 candle = x ÷ 15

Loss = C.P-S.P
= (x/12)-(x/15) = (5x-4x)/60  =  x/60

Loss% = {(x/60)/(x/12)} x 100%
           = (12/60) x 100%
          =20%
LOSS = 20%.