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Tuesday, August 9, 2022

A merchant has 1000 kg of sugar, part of which he sells at 8% proflt and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is :

A merchant has 1000 kg of sugar, part of which he sells at 8% proflt and the rest at 18% profit. He gains 14% on the whole. The quantity (in kg.) sold at 18% profit is :
A560
B600
C400
D640

Correct answer is: 600
Explanation:

Given:

Quantity of sugar = 1000 kg

Calculation:

Let cost price of 1kg of sugar be Rs.100.

Selling price of 1kg sugar sold at 8% profit = 100×108100= Rs.108

Selling price of 1kg sugar sold at 18% profit =100×118100= Rs.118

Average selling price of 1kg sugar =100×114100= Rs.114

Using rule of alligation,

Ratio of sugar sold at 8% and 18% profit =(118114):(114108)=4:6=2:3

Quantity sold at 18% profit=35×1000= 600 kg

Nithin
answered Aug 9 '2022 at 22:35

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