Q.1: The price of pure muster oil is Rs.100 per litre. A shopkeper adulterates it with some other types of oil at Rs.50 pr litre. He sells the misture at the rate of Rs.96 per litre in order to gain 20% on whole transaction. The ratio in which he mixed the two oils is ..............?
Let pure oil = x litres and
other oil = y litres
Profit=20%
Cost of pure oil is Rs. 100x and
Cost of other oil is Rs. 50y.
Total Cost price (CP) = Rs. (100x + 50y)
Now, the shopkeeper sell mixture = (x+y) litres of adulterated oil at the rate of 96 Rs/litres.
Total Sale Price (SP) = 96(x+y) = 96 x + 96y
Profit = SP-CP = [96x+96y] - [100x+50y] = 46y-4x
The shopkeeper has to mix pure and other oil in the ratio 3:2