Question
A shopkeeper sells edible oil. He marks up the price of
edible oil to 60% above its cost price and offers a discount of 20% on the marked price upon selling it. If the shopkeeper cheats his customer by selling 'y' ml less in every 1 litre pack of edible oil, he earns a profit of Rs. 1800 on selling 10 litres of edible oil. If 1 litre of edible oil is sold honestly without cheating in quantity, then the difference between the discount given and the profit earned is Rs. 20. Find the value of (3y + 10).Solution
Let the cost price of 1 litre of edible oil be Rs. 100m
Marked price of 1 litre of edible oil = 100m × 1.6 = Rs. 160m
Selling price of 1 litre of edible oil = 160m × 0.8 = Rs. 128m
Profit without cheating = 128m - 100m = Rs. 28m
Discount given = 160m - 128m = 32m
ATP,
32m - 28m = 20
Or, 4m = 20
So, m = 5
Cost price of 1 litre of edible oil = 100 × 5 = Rs. 500
Selling price of 1 litre of edible oil = 128 × 5 = Rs. 640
Selling price of (1000 - y) ml of edible oil = Rs. 640
Profit earned on selling 10 packets of (1000 - y) ml edible oil = Rs. 1800
So, profit earned on selling (1000 - y) ml edible oil = 1800 ÷ 10 = Rs. 180
So, cost price of (1000 - y) ml edible oil = 640 - 180 = Rs. 460
(460/500) = {(1000 - y)/1000}
0.92 × 1000 = 1000 - y
So, y = 1000 - 920 = 80
Therefore, required value = 3y + 10 = 240 + 10 = 250
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