If the selling price of a cooler is ₹ 11,200 and profit is 12 percent, then the purchase price of the cooler is

Correct Answer: (D) ₹ 10,000

With a selling price of ₹ 11,200 and a 12% profit on cost, the purchase price (cost price) is given by $\text{CP}=\frac{\text{SP}}{1+\text{Profit}\mathrm{\%}}=\frac{11200}{1+0.12}=\frac{11200}{1.12}=\text{₹ }10,000$$\text{CP}$ = $\frac{\text{SP}}{1 + \text{Profit}\%}$ = $\frac{11200}{1 + 0.12}$ = $\frac{11200}{1.12}$ = $\text{₹ }$ 10,000.