Question 82

For an article the profit is 190% of the cost price. If the cost price increase by 10% but the selling price remains same, then profit is what percentage of selling price (approximately)?

Solution

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

=> Profit = $$\frac{190}{100}\times100x=Rs.$$ $$190x$$

Thus, selling price = Rs. $$(100x+190x)=Rs.$$ $$290x$$

If cost price is increased by 10%, => New cost price = $$100x\times\frac{110}{100}=Rs.$$ $$110x$$

=> New profit = Rs. $$(290x-110x)=Rs.$$ $$180x$$

$$\therefore$$ Required % = $$\frac{180x}{290x}\times100$$

= $$\frac{1800}{29}=62.06\approx 62\%$$

=> Ans - (B)

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