Question:
A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk did a mistake and interchanged the number of black and brown pairs. This increased the bill by 50\(\%\). The ratio of the number of black and brown pairs of socks in the original order was
A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk did a mistake and interchanged the number of black and brown pairs. This increased the bill by 50\(\%\). The ratio of the number of black and brown pairs of socks in the original order was
Updated On: Jan 30, 2025
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- 2:1
- 1:4
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The Correct Option is C
Solution and Explanation
Let he purchase x pairs of brown socks. Price of black socks and brown socks be Rs 2a and Rs a per pair respectively
\(\frac{3}{2}(4\times2a+x\times a)=x\times2a+4\times a\)
\(12a+\frac{3}{2}xa=2xa+4a\)
\(12+\frac{3}{2}x=2x+4\)
\(\frac{x}{2}=8\)
\(\therefore\) Required ratio \(=\frac{4}{16}=\frac{1}{4}\)
The correct option is (C)
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