A shopkeeper sold an article at a loss of $20 %$ . If the selling price had been increased by ₹100, there would have been a gain of $5 %$ . What was the cost price of the article? (3 Marks)

Open in App

Solution

Let the C.P be ₹ x.
Loss is 20% (0.5 Mark)

We know that,
$L o s s % = \frac{C P - S P}{C P} \times 100$ (0.5 Mark)
$20 = \frac{x - S P}{x} \times 100$
$\frac{20 x}{100} = x - S P$
$S P = x - \frac{20 x}{100}$ (0.5 Mark)

$∴ S.P = x \times \frac{80}{100} = \frac{80 x}{100}$ (0.5 Mark)

When It is sold for 100 rupees more the gain is $5 % = \frac{80 x}{100} + 100 = x \times \frac{105}{100}$ (0.5 Mark)

$\frac{x}{4} = ₹ 100$

$x = ₹ 400$

So, the cost price of the article is ₹400. (0.5 Mark)

Suggest Corrections

Similar questions

A shopkeeper sold an article at a loss of 20%.If the selling price had been increased by Rs.100, there would have been a gain of 5%. What was the cost price of the article?

Q. A shopkeeper sells an article at a gain of 10%. Had he sold it at a loss of 20%, its selling price would have been Rs 180 less. What is the cost price of the article?

Q. A shopkeeper allows a discount of 20% on the Marked price of an article at sells at rupees 896.
1) calculate the Marked price of an article.
2) by selling an article at a discounted price if he still gets 12% of his cost what was the cost price.
3) what would have been his profit percentage if you had sold the article at the marked price.

Q. An article was sold at 25% loss. Had the article been sold for Rs.60 more there would have been a profit 5%. Find the cost price of the article.

Join BYJU'S Learning Program

A shopkeeper sold an article at a loss of 20%. If the selling price had been increased by ₹100, there would have been a gain of 5%. What was the cost price of the article? (3 Marks)

A shopkeeper sold an article at a loss of $20 %$ . If the selling price had been increased by ₹100, there would have been a gain of $5 %$ . What was the cost price of the article? (3 Marks)