Question
Download Solution PDFWhen the article sold at the rate of Rs.21056 earned a profit of 24% more than that of the loss incurred when the same article sold at the rate of Rs.10528. Find the cost price of the article. (In Rs.)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Selling price when profit is earned = Rs.21056
Selling price when loss is incurred = Rs.10528
Profit percentage is 24% more than the loss percentage.
Formula Used:
Profit = SP - CP
Loss = CP - SP
Profit = 1.24 × Loss
Calculation:
Let the Cost Price (CP) be x.
Profit = 21056 - x
Loss = x - 10528
According to the question:
Profit = 1.24 × Loss
⇒ 21056 - x = 1.24 × (x - 10528)
⇒ 21056 - x = 1.24x - 1.24 × 10528
⇒ 21056 - x = 1.24x - 13055.36
⇒ 21056 + 13055.36 = 1.24x + x
⇒ 34111.36 = 2.24x
⇒ x = 34111.36 / 2.24
⇒ x = 15228
The cost price of the article is Rs.15228.
Last updated on Jun 5, 2025
-> The UP Police Sub Inspector 2025 Notification will be released by 15th June for 4543 vacancies.
-> A total of 35 Lakh applications are expected this year for the UP Police vacancies..
-> The recruitment is also ongoing for 268 vacancies of Sub Inspector (Confidential) under the 2023-24 cycle.
-> The pay Scale for the post ranges from Pay Band 9300 - 34800.
-> Graduates between 21 to 28 years of age are eligible for this post. The selection process includes a written exam, document verification & Physical Standards Test, and computer typing test & stenography test.
-> Assam Police Constable Admit Card 2025 has been released.