Home
Class 14
MATHS
A man bought an article and sold it at a...

A man bought an article and sold it at a gain of `10%` If the had bought it at `20%` less and sold it for Rs 10 more, he would have made a profit of 40%. The cost price of the article is :

A

Rs 500

B

Rs 480

C

Rs 450

D

Rs 400

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these calculations: ### Step 1: Define the Cost Price Let the cost price (CP) of the article be \( x \). ### Step 2: Calculate Selling Price with 10% Gain If the man sells the article at a gain of 10%, the selling price (SP) can be calculated as: \[ SP = CP + 10\% \text{ of } CP = x + \frac{10}{100} \times x = x + 0.1x = 1.1x \] ### Step 3: Calculate New Cost Price If he had bought the article at 20% less, the new cost price would be: \[ \text{New CP} = CP - 20\% \text{ of } CP = x - \frac{20}{100} \times x = x - 0.2x = 0.8x \] ### Step 4: Calculate Selling Price with 40% Gain If he sells it for Rs 10 more than the new cost price and makes a profit of 40%, the selling price in this case would be: \[ SP = \text{New CP} + 40\% \text{ of New CP} = 0.8x + \frac{40}{100} \times 0.8x = 0.8x + 0.32x = 1.12x \] ### Step 5: Set Up the Equation According to the problem, the selling price in this case is also equal to the new cost price plus Rs 10: \[ 1.12x = 0.8x + 10 \] ### Step 6: Solve the Equation Now, we can solve for \( x \): \[ 1.12x - 0.8x = 10 \] \[ 0.32x = 10 \] \[ x = \frac{10}{0.32} = 31.25 \] ### Conclusion The cost price of the article is Rs 31.25. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

A man bought an article and sold it at a gain of 10%. If he had bought the article at 20% less and sold it for Rs1,000 more, he would have made a profit of 40% .The cost price of the article (in Rs.) is: एक आदमी ने एक वस्तु को खरीदा और उसे 10% की लाभ पर बेचा। यदि उसने 20% कम में वस्तु खरीदा होता और इसे 1,000 रुपये अधिक में बेचा होता, तो उसने 40% का लाभ कमाया होता। वस्तु का क्रय मूल्य (रुपये में) ज्ञात करे।

A man bought and article and sold it at a gain of 10%. If he had bought it at 20% less and sold it for Rs 10 more, he would have made a profit of 40%. Find the C.P. of the article?

A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.55 more,he would have had a profit of 40%. The cost price of the article is

A man bought an article and sold it at a gain of 5%. If he had bought it at 5% less and sold it for Rs. 1 less, he would have made a profit of 10%. The Cost Price(C.P.) of an article was

A man bought an article and sold it at a gain of 10%. If he had bought the article at 20% less and sold it for Rs1,000 more, he would have made a profit of 40%. The earlier selling price of the article (in Rs.) is: एक आदमी ने एक वस्तु को ख़रीदा और उसे 10% की लाभ पर बेचा। यदि उसने 20% कम में वस्तु ख़रीदा होता और इसे 1,000 रुपये अधिक में बेचता, तो उसने 40% का लाभ कमाया होता। वस्तु का आरंभिक विक्रय मूल्य (रुपये में) है:

A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for 33 more, he would have had a profit of 30%. Find the cost price of this article.

A person bought an article and sold it at a loss of 20%. If he had bought it for 10% less and sold it for 55% more, then he would have made a profit of 50%. The C.P. of the article is

A man sells a bicycle at a gain of 10%. If he had bought it at 10% less and sold it for Rs.132 less,he would have still gained 10%. The cost price of the article is