Two third of a consignment was sold at a profit of 5% and the reminder at a loss of 2%.
Posted on 24-03-2023
Ques - Two third of a consignment was sold at a profit of 5% and the reminder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was :
(a) 15000
(b) 20000
(c) 10000
(d) 12000
Solution -
Let,
The value of the consignment = X
Profit on 2/3 consignment = (2/3) × X × (5/100)
=10X/300
Loss on 1/3 consignment = (1/3) × X × (2/100)
= 2X/300
The total profit = 400
Profit - loss = 400
(10X/300) - (2X/300) = 400
8X/300 = 400
X = (400 × 300) / 8
X = 120000 / 8
X = 15000
Therefore,
The value of consignment is Rs. 15,000.
Hence,
The correct answer is option (a) 15000.
Thank You