A. Rs. 2000

B. Rs. 2200

C. Rs. 2400

D. Rs. 2600

E. Inadequate Data

### Check Answer

The correct answer is

suppose the cost price of the product is

Remember these formulas for Profit % and Loss %

\text { profit) } \%=\frac{\text { selling price }-\cos t \text { price }}{\cos t \text { price }} \times 100

(\text { loss }) \%=\frac{\cos t \text { price }-\text { selling price }}{\cos t \text { price }} \times 100

According to the problem statement, the percentage profit is equal to the percentage loss incurred.

Profit % = Loss %

\frac{\text { selling price }-\cos t \text { price }}{\cos t \text { price }} \times 100 = \frac{\cos t \text { price }-\text { selling price }}{\cos t \text { price }} \times 100

\frac{1920-x}{x} \times 100=\frac{x-1280}{x} \times 100

“X and 100” on both sides of the equation will cancel each other.

then we will have

⇒ 1920−x = x−1280

⇒ 2x = 3200

⇒ x = 1600

Now, for-profit of 25%

we will use this formula

Profit% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

25 =\frac{\text { (selling price – 1600) }}{\text { 1600 }} \times 100

\frac{25\times1600}{100} = Selling price – 1600

400 = Selling price – 1600

Selling price to gain 25% = 400+1600

Selling price to gain 25% = 2000

**“Rs. 2000”**.**Step by Step Solution:**suppose the cost price of the product is

**Rs. X**Remember these formulas for Profit % and Loss %

\text { profit) } \%=\frac{\text { selling price }-\cos t \text { price }}{\cos t \text { price }} \times 100

(\text { loss }) \%=\frac{\cos t \text { price }-\text { selling price }}{\cos t \text { price }} \times 100

According to the problem statement, the percentage profit is equal to the percentage loss incurred.

Profit % = Loss %

\frac{\text { selling price }-\cos t \text { price }}{\cos t \text { price }} \times 100 = \frac{\cos t \text { price }-\text { selling price }}{\cos t \text { price }} \times 100

\frac{1920-x}{x} \times 100=\frac{x-1280}{x} \times 100

“X and 100” on both sides of the equation will cancel each other.

then we will have

⇒ 1920−x = x−1280

⇒ 2x = 3200

⇒ x = 1600

Now, for-profit of 25%

we will use this formula

Profit% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

25 =\frac{\text { (selling price – 1600) }}{\text { 1600 }} \times 100

\frac{25\times1600}{100} = Selling price – 1600

400 = Selling price – 1600

Selling price to gain 25% = 400+1600

Selling price to gain 25% = 2000

**So the article should be sold at 2000 to make a 25% profit.**### Related:

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