A trader sells an article at Rs. 3200 with 20% loss. What will be the selling price of article if trader gains 25%?

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB NTPC Exam 27 Jan 2021 click here to view all questions

A trader sells an article at Rs. 3200 with 20% loss. What will be the selling price of article if trader gains 25%?

ARs. 5000

BRs. 3500

CRs. 4000

DRs. 4700

Akhilesh ? Apr 2 '25 at 23:01

correct answer is: option a (Rs. 5000)
Explanation: Let the cost price of the article be \(CP\).
Given, selling price (SP) = Rs. 3200 and loss = 20%.
We know that \(SP = CP - Loss\). Since the loss is 20%, \(SP = CP - 0.20CP = 0.80CP\).
Therefore, \(3200 = 0.80CP\), which implies \(CP = \frac{3200}{0.80} = 4000\).
Now, the trader wants to gain 25%. So, the new selling price (SP') will be \(SP' = CP + 0.25CP = 1.25CP\).
Substituting the value of CP, \(SP' = 1.25 \times 4000 = 5000\).
So, the selling price of the article should be Rs. 5000

All DiscussionsClick here to write answer

correct answer is: option a (Rs. 5000) Explanation: Let the cost price of the article be \(CP\). Given, selling price (SP) = Rs. 3200 and loss = 20%. We know that \(SP = CP - Loss\). Since the loss is 20%, \(SP = CP - 0.20CP = 0.80CP\). Therefore, \(3200 = 0.80CP\), which implies \(CP = \frac{3200}{0.80} = 4000\). Now, the trader wants to gain 25%. So, the new selling price (SP') will be \(SP' = CP + 0.25CP = 1.25CP\). Substituting the value of CP, \(SP' = 1.25 \times 4000 = 5000\). So, the selling price of the article should be Rs. 5000 Akhilesh ? answered Apr 2 '25 at 23:01

correct answer is: option a (Rs. 5000) Explanation: Let the cost price of the article be \(CP\). Given, selling price (SP) = Rs. 3200 and loss = 20%. We know that \(SP = CP - Loss\). Since the loss is 20%, \(SP = CP - 0.20CP = 0.80CP\). Therefore, \(3200 = 0.80CP\), which implies \(CP = \frac{3200}{0.80} = 4000\). Now, the trader wants to gain 25%. So, the new selling price (SP') will be \(SP' = CP + 0.25CP = 1.25CP\). Substituting the value of CP, \(SP' = 1.25 \times 4000 = 5000\). So, the selling price of the article should be Rs. 5000 Akhilesh ? answered Apr 2 '25 at 23:01

Post your answers here:

Post

Post your comments here:

Message

Post

Cancel