Question:
A dairyman pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5\(\%\) profit. The proportion of water to milk received by the customers is
A dairyman pays Rs. 6.4 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5\(\%\) profit. The proportion of water to milk received by the customers is
Updated On: Sep 25, 2024
- 1:15
- 1:10
- 1:20
- 1:12
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The Correct Option is B
Solution and Explanation
The correct option is (B): 1:10
Explanation: Explanation:
Let quantity of milk purchased be \(x\) litres and water added be \(y\) litres
Thus, cost price =\(Rs. 6.4x\)
Selling price = Rs. 8(x + y)
Also, profit % = 37.5 % = \(\frac{3}{8}\)
\(\frac{8(x+y)-6.4x}{6.4x}\)= \(\frac{3}{8}\)
1.6x + 8y = 2.4x
8y = 0.8x
\(\frac{y}{x}=\frac{1}{10}\)
Explanation: Explanation:
Let quantity of milk purchased be \(x\) litres and water added be \(y\) litres
Thus, cost price =\(Rs. 6.4x\)
Selling price = Rs. 8(x + y)
Also, profit % = 37.5 % = \(\frac{3}{8}\)
\(\frac{8(x+y)-6.4x}{6.4x}\)= \(\frac{3}{8}\)
1.6x + 8y = 2.4x
8y = 0.8x
\(\frac{y}{x}=\frac{1}{10}\)
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