Question : Both A and B sell their watch at the rate of Rs. 5,400 per watch. A earned a profit of 10% while B incurred a loss of 25%. What is the ratio of cost prices of A and B?
Option 1: 19 : 23
Option 2: 15 : 22
Option 3: 15 : 19
Option 4: 18 : 25
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Correct Answer: 15 : 22
Solution :
$\small\text{Cost Price} = \text{Selling Price} × \frac{100}{100\ ±\ \text{Loss or Profit%}}$
We get, Cost price for A $= 5400 × \frac{100}{110}=\frac{54000}{11}$
And, Cost price for B $= 5400 × \frac{100}{75}=1800 × 4$
$\therefore$ Ratio of both CP $= \frac{54000}{11} : 1800 × 4$
⇒ $30 : 44 = 15 : 22$
Hence, the correct answer is 15 : 22.
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