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A fruit seller mark up his fruits 50% above the cost price and is able to sell only 50% of his fruits, he then gives a discount 20% and sells 30% of the total fruits at this price, again he gives a discount of 50% on marked price and is able to sell the remaining stock of the fruits. How much did he gain in percentage on all the stock of fruits?

A fruit seller mark up his fruits 50% above the cost price and is able to sell only 50% of his fruits, he then gives a discount 20% and sells 30% of the total fruits at this price, again he gives a discount of 50% on marked price and is able to sell the remaining stock of the fruits. How much did he gain in percentage on all the stock of fruits? Correct Answer 26%

GIVEN:

A fruit seller mark up his fruits 50% above the cost price

He sells 50% of the stock at mark price

30% of the stock at 20% discount

Rest at 50% discount

FORMULA USED:

Marked price = Cost price + Markup

Selling Price = Marked price - Discount

Profit = Selling Price - Cost price

Profit percentage = × 100

CALCULATION:

Suppose there be 100 fruits and the cost price of a fruit is Rs. 100

Total cost = 100 × 100 = Rs. 10000

According to the question,

Marked price = 100 × 1.5 = Rs. 150

⇒ Amount received by selling 50% of the fruits at Rs. 150 = 50 × 150 = Rs. 7500

Discounted price at which he sells 30% of the total fruits = 150 × 0.8 = Rs. 120

⇒ Amount received by selling 30% of the fruits at Rs. 120 = 30 × 120 = Rs. 3600

Discounted price at which he sells remaining 20% of the total fruits = 150 × 0.5 = Rs. 75

⇒ Amount received by selling remaining 20% of the fruits at Rs. 75 = 20 × 75 = Rs. 1500

⇒ Total amount received by him = 7500 + 3600 + 1500 = Rs. 12600

∴ Profit percentage = × 1000

⇒ 26%

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