Question

A seller shirts 25% more than the cost of value of the shirt, but after giving 10 % discount to its customers, it 75 Rs gain. cost of shirt will be.

Answer 1

Q: A seller sells a shirt 25% more than the original cost of the shirt . but after giving discount of 10% on s.p to his customers, he gains ₹75 . what will be the cost price of the shirt ?

solution:
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let the original cost price of shirt be ₹x

original selling price = x + 25% of x

= x + 0.25x = ₹1.25x

Find the discount:
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discount given = 10% of s.p

= 10% of 1.25x = 0.1 × 1.25x

= ₹0.125x

Find new selling price:
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= original s.p - discount

= 1.25x - ₹0.125x = ₹1.125x

gain = new s.p - cost price

= 1.125x - x = 0.125x

solve for 'x' :
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according to question,

gain = ₹75

0.125x = 75 => 125x ÷ 1000 = 75

125x = 75000

x = ₹600

Answer:
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cost price of the shirt = ₹600
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