Question 28

A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

Solution

Let cost price of article = Rs. $$100x$$

Loss % = 10%

=> Selling price = $$100x-\frac{10}{100} \times 100x=Rs.$$ $$90x$$

If selling price is increased by Rs. 200, => New selling price = Rs. $$(90x+200)$$

=> Profit % = $$\frac{(90x+200)-100x}{100x}\times 100=6$$

=> $$200-10x=6x$$

=> $$6x+10x=16x=200$$

=> $$x=\frac{200}{16}=12.5$$

$$\therefore$$ Cost price = $$100 \times 12.5=Rs.$$ $$1250$$

=> Ans - (C)

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