Question

how much percent above the cost price should A shopkeeper marks his goods sold at the after allowing a 10% percent discount on the Marked price, he gain 8%

Answer 1

let the cost pice of goods be 'x ' and market price be ' y'.

Find the gain :
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gain = 8 % of c.p = 8% of x = ₹ 0.08x

Find the s.p:
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selling price = c.p + gain

selling price = x + 0.08x = ₹ 1.08x

Find the discount:
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discount = 10% of market price

= 10% of y = ₹ 0.1y

Find the market price :
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market price - discount = selling price

y - 0.1y = 1.08x => 0.9y = 1.08x

y = 1.08x ÷ 0.9 => y = ₹ 1.2 x

market price = ₹ 1.2x

Find the difference:
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difference = market price - cost price

difference = 1.2x - x = ₹ 0.2x

Find the difference%:
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difference% = (difference × 100) /c.p

=(0.2x × 100 ) / x = 20 %

therefore, he should mark his goods 20% above the cost price .

Answer : required %age = 20%
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