A Fruit seller incurred loss equal to the selling price of (x - 5) mangoes by selling (2x - 3) mangoes. If the loss percentage is equal to 10%. Find the value of x.
Answer
Correct Answer : a ) 6
Explanation :According to the question,
Let the Selling price of 1 Mango be SP and the Cost price of 1 Mango be CP
Loss = Selling Price of (x - 5) mangoes = (x - 5) * SP
Selling price of (2x - 3) Mangoes = (2x - 3) * SP
We know that
Cost price of (2x - 3) mangoes = Selling price + Loss = (2x – 3 + x – 5) * SP = (3x – 8) * SP
⇒ (2x - 3)*CP = (2x – 3 + x – 5) * SP
⇒ (2x - 3)*CP = (3x – 8) * SP
⇒ 10x – 50 = 3x – 8
⇒ 7x = 42
⇒ x = 6.
Hence, (a) is the correct answer.
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