Question 65

The marked price of a laptop is ₹65,000. The laptop is sold at a discount of 20%. If a profit of 30% is made through the sale, then what is the cost price of the laptop?

Solution

The marked price of a laptop is ₹65,000. The laptop is sold at a discount of 20%.

Selling price of a laptop = ₹65,000 of (100-20)%

= ₹65,000 of 80%

= $$65,000\times\frac{80}{100}$$

= 52,000

If a profit of 30% is made through the sale, then the Cost price of the laptop = $$\frac{52,000}{\left(100+30\right)}\times100$$

= $$\frac{52,000}{130}\times100$$

= $$400\times100$$

= ₹40,000


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