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A seller sold 3/4th of his goods at 24% profit and the remaining part at cost price. Accordingly, what was his total profit percentage?
Question

A seller sold 3/4th of his goods at 24% profit and the remaining part at cost price. Accordingly, what was his total profit percentage?

A.

18

B.

32

C.

24

D.

15

Correct option is A

Given: A seller sold 3/4th of his goods at 24% profit and the remaining part at cost price.
Selling price of 3/4th of the goods:
Cost price of this portion
= (3/4) × 100
= ₹75
Selling price at 24% profit: 75 + (24% of 75)
= 75 + (75 × 24/100)
= 75 + 18
= ₹93
Selling price of 1/4th of the goods:
Cost price of this portion
= (1/4) × 100
= ₹25
Since it is sold at cost price, the selling price = ₹25.
Total Selling Price
= 93 + 25
=118
Total Profit = Total Selling Price - Total Cost Price
= 118 – 100
= ₹18
Profit Percentage = ProfitTotalCostPrice\frac {Profit} {Total Cost Price} ×\times 100
18100\frac {18} {100} ×\times 100
= 18
Total profit percentage is 18.
Thus, correct option is (a).

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