7/12 of the commodity was sold at profit of 25% and the balance was sold at 25% loss if in this deal 200 rs is earned the cost of commodity is?
Answers
7/12 of the commodity was sold at profit of 25% and the balance was sold at 25% loss if in this deal 200 rs is earned the cost of commodity is Rs. 4800
Given:
i) 7/12 of the commodity was sold at profit of 25%
ii) the balance was sold at 25% loss
iii) Total profit in this deal = Rs. 200
To find:
The cost of commodity
Solution:
Let the cost of commodity be x
7/12 of the commodity was sold at profit of 25%
=> Profit on selling 7/12 of the commodity = (7/12)(x)*(25/100)
the balance was sold at 25% loss
=> Loss on selling (1 - 7/12) i.e. 5/12 of the commodity = (5/12)(x)*(25/100)
Total Profit =
Profit on selling 7/12 of the commodity
- Loss on selling on 5/12 of the commodity
= (7/12)(x)*(25/100) - (5/12)(x)*(25/100)
= ((7/12) - (5/12))(x)*(25/100)
= (2/12)(x)*(25/100) = 200
=> (2/12)(x)*(25/100) = 200
=> (1/6)(x)*(25/100) = 200
=> x = 200(100/25)(6)
=> x = 200*4*6
=> x = 4800
The cost of commodity is Rs. 4800
#SPJ1