Question
Download Solution PDFA shopkeeper gains 20% in place of 16% loss if the selling price of an article is increased by Rs. 324. The cost price of the article is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The initial loss = 16%
Profit = 20%
The selling price of an article is increased by = Rs. 324
Formula used:
S.P. = [(100 + Profit%)/100] × C.P.
Profit% = [(S.P. - C.P.)/C.P.] × 100
Where, C.P. = Cost price; S.P. = Selling price
Calculation:
Let, the cost price = 100x
So, the selling price = 84x
The final selling price = 100x × (120/100) = 120x
⇒ 120x - 84x = 324
⇒ 36x = 324
⇒ x = 9
⇒ 100x → 9 × 100 = 900
Cost price = Rs. 900
∴ The Cost price of the article is Rs. 900
Shortcut Trick
Let the CP be 100%
Initial SP = 84%
Final SP = 120%
The gap in the two SPs is due to 324.
⇒ 36% = 324
⇒ 1%→ 9
⇒ 100%→ 900
Last updated on Jul 22, 2025
-> The IB Security Assistant Executive Notification 2025 has been released on 22nd July 2025 on the official website.
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.