Question 12

Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?

Solution

Let cost price of 1st shirt = Rs. $$100x$$

Profit % = 30%

=> Selling price of 1st shirt = $$100x+(\frac{30}{100}\times100x)=Rs.$$ $$130x$$

Also, selling price of 2nd shirt = Rs. $$100x$$

Loss % = 30%

=> Cost price of 2nd shirt = $$\frac{100x}{(100-30)}\times100=Rs.$$ $$\frac{1000x}{7}$$

$$\therefore$$ Required ratio = $$\frac{130x}{\frac{1000x}{7}}$$

= $$(13\times7):100=91:100$$

=> Ans - (A)

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