Question 112

A trader marks the products 25% above the cost price and allows a discount of 15%. If the cost price is ₹ 2,080, then the selling price is:

The trader’s cost price is given as $$\text{CP}=₹\,2080$$.

Step 1 - Find the marked price (list price).
The article is marked $$25\%$$ above the cost price, so

$$\text{Marked Price (MP)} = \text{CP}\times\left(1+\frac{25}{100}\right)$$

$$\text{MP}=2080\times1.25$$

$$\text{MP}=2080\times\frac{5}{4}=₹\,2600$$

Step 2 - Apply the discount to get the selling price.
A discount of $$15\%$$ is allowed on the marked price, therefore

$$\text{Selling Price (SP)} = \text{MP}\times\left(1-\frac{15}{100}\right)$$

$$\text{SP}=2600\times0.85$$

Convert $$0.85$$ to fraction for easier multiplication: $$0.85=\frac{85}{100}$$. Hence,

$$\text{SP}=2600\times\frac{85}{100}=26\times85$$

$$26\times85=2210$$

Therefore, $$\text{SP}=₹\,2210$$.

Hence, the selling price is ₹ 2,210.
Option D which is: ₹ 2,210

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