Profit and Loss - Quantitative Aptitude (MCQ) questions for Q. 21096

Q.  A trader has 200 kg of sugar, out of which he sells some with 10% profit and the rest with 25% profit. He gains 15% on the whole. Find the quantity of sugar sold at 25% profit?
- Published on 20 Apr 16

a. 120 kg
b. 96.5 kg
c. 84 kg
d. 67 kg
e. None of these

ANSWER: 67 kg
 
Let CP of each kg. of sugar = Rs.1.
Cost Price of 200 kg of sugar = Rs.200.
Let quantity of sugar sold with 25% profit be X.
Therefore, (200 – X) kg of sugar sold at a profit of 10%
Then,
(125/100 * X) + 110/100 (200 – X) = 115/100 * 200
125X + 110(200 – X) = 115 * 200
125X + 22000 – 110X = 23000
125X – 110X = 23000 – 22000
15X = 1000
X = 1000/15
X = 66.66 kg
Quantity of sugar that was sold at 25% gain is 66.66 kg
Therefore, option nearby for 66.66 is 67 (d)

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