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A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 40%. The ratio of the number of brand A shirts to that of brand B shirts in the original order was
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- 1 : 2
- 1 : 3
- 1 : 4
- 1 : 5
Correct Option: B
Let the number of shirts of brand B be x.
Let the cost of a shirt of brand B be ₹ 1.
∴ Original cost = 4 × 2 + x = ₹ (8 + x)
In case II,
| 4 + 2x = (8 + x) × | = (8 + x) | ||
| 100 | 5 |
⇒ 20 + 10x = 56 + 7x
⇒ 10x – 7x = 56 – 20 = 36
⇒ 3x = 36 ⇒ x = 12
∴ Required ratio = 4 : 12 = 1 : 3
