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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 4

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
1). 1:2
2). 1:3
3). 1:4
4). 1:5

This Question has 2 answers.

Its tough but option 2 seems correct

Let the number of shirts of brand B be x.
Let the cost of a shirt of brand B be  rs 1.
$\therefore$ Original cost = 4 × 2 + x = rs (8 + x)
In case II,

4+2x = $(8+x)\times\frac{140}{100}$

=> 20 + 10x = 56 + 7x
=> 10x – 7x = 56 – 20 = 36
=> 3x = 36

=> x = 12
$\therefore$ Required ratio = 4 : 12 = 1 : 3

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