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A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :
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- 2 : 1
- 1 : 4
- 1 : 2
- 4 : 1
Correct Option: B
Number of brown socks = x
Price of brown socks = ₹ y per pair
Price of black socks = ₹ 2y per pair
∴ 4y + x × 2y
| = | (4 × 2y + xy) | |
| 100 |
| ⇒ 4 + 2x = | (8 + x) | |
| 2 |
⇒ 8 + 4x = 24 + 3x
⇒ x = 24 – 8 = 16
∴ Required ratio = 4 : 16
= 1 : 4
