Question

The profit by selling an item was 25%. If the item was marked 40% above the selling price then what is the ratio of MP to the CP of the item?

Answer 1

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Let the cost price of goods be ₹100

Thus the marked price = 100 + 40/100 × 100

Marked price= 100 + 40 = ₹140

Trader allows a discount of 25% on marked price

25% discount on marked price ₹140

= 25/100 × 140

= 140/4

= ₹35

Price after 25% discount = ₹140 - ₹35

= ₹105

Thus Sale Price of goods = ₹105

Gain = ₹105–₹100 = ₹5

Gain % = 5/100 × 100

Gain % = 5%

Answer: Trader gain percent is 5%

Answer 2

Step-by-step explanation:

Let the cost price of goods be ₹100

Thus the marked price = 100 + 40/100 × 100

Marked price= 100 + 40 = ₹140

Trader allows a discount of 25% on marked price

25% discount on marked price ₹140

= 25/100 × 140

= 140/4

= ₹35

Price after 25% discount = ₹140 - ₹35

= ₹105

Thus Sale Price of goods = ₹105

Gain = ₹105–₹100 = ₹5

Gain % = 5/100 × 100

Gain % = 5%