# Profit and Loss. How to approach this question?

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Ram sold an article to Shyam at a certain profit percentage. And Shyam sold it to Mohan at same profit percentage. If Mohan sold it to Rakesh at the original price and get 36% loss. Then find at what profit percentage Ram sold the article.

Let the original cost price (CP) be $x$.

Selling price (SP) for Shyam (Shyam buying) $= x (\frac{p}{100} + 1)$ where $p$ is the profit percentage.

Selling price for Mohan $= x (\frac{p}{100} + 1) ( \frac{p}{100} + 1)$

Selling price for Rakesh $= x = (1 -0.36) \times x (\frac{p}{100} + 1) ( \frac{p}{100} + 1)$

$\implies (p+100)^2 = \frac{10000}{0.64}$

$\implies p+100 = \frac{100}{0.8} =125$

$\implies p = 25\%$

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## Related questions

1
253 views
The marked price of a table is Rs. 1200, which is 20% above the cost price. It is sold at a discount of 10% on the marked price. Find the profit percent. (a) 10% (b) 8% (c) 7.5% (d) 6% What approach can I use for these type of questions?
1 vote
A Shopkeeper cheats to the extends of $20\%$ while buying as well as selling.By using false weight.His gain or loss is? Loss $50\%$ Gain $44\%$ Loss $44\%$ Gain $40\%$
The text passage contains a mathematical question related to profit and loss, and it provides a detailed solution to the problem. The solution involves algebraic manipulation to find the profit percentage at which Ram sold the article to Shyam.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Profit and Loss. How to approach this question?

1.2k views
Ram sold an article to Shyam at a certain profit percentage. And Shyam sold it to Mohan at same profit percentage. If Mohan sold it to Rakesh at the original price and get 36% loss. Then find at what profit percentage Ram sold the article.

Let the original cost price (CP) be $x$.

Selling price (SP) for Shyam (Shyam buying) $= x (\frac{p}{100} + 1)$ where $p$ is the profit percentage.

Selling price for Mohan $= x (\frac{p}{100} + 1) ( \frac{p}{100} + 1)$

Selling price for Rakesh $= x = (1 -0.36) \times x (\frac{p}{100} + 1) ( \frac{p}{100} + 1)$

$\implies (p+100)^2 = \frac{10000}{0.64}$

$\implies p+100 = \frac{100}{0.8} =125$

$\implies p = 25\%$

selected

## Related questions

1
253 views
The marked price of a table is Rs. 1200, which is 20% above the cost price. It is sold at a discount of 10% on the marked price. Find the profit percent. (a) 10% (b) 8% (c) 7.5% (d) 6% What approach can I use for these type of questions?
1 vote
A Shopkeeper cheats to the extends of $20\%$ while buying as well as selling.By using false weight.His gain or loss is? Loss $50\%$ Gain $44\%$ Loss $44\%$ Gain $40\%$
user
The text passage contains a mathematical question related to profit and loss, and it provides a detailed solution to the problem. The solution involves algebraic manipulation to find the profit percentage at which Ram sold the article to Shyam.

TYPE: SINGLE_QUESTION_WITH_ANSWER