Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
If 15% of an item's selling price is equal to 20% of its cost price, what is the profit percentage?
33.33%
25%
20%
40%
33.33%
Equate 0.15├ЧSP=0.20├ЧCP, which simplifies to SP/CP=20/15=4/3. The profit ratio is (4тИТ3)/3=1/3, which equals 33.33%.
15% of Selling Price (SP) is equal to 20% of Cost Price (CP).
Profit%=CPSPтИТCPтАЛ├Ч100
Equate 0.15├ЧSP=0.20├ЧCP, which simplifies to SP/CP=20/15=4/3. The profit ratio is (4тИТ3)/3=1/3, which equals 33.33%.
Students often calculate the profit on the selling price instead of the cost price, leading to an incorrect result of 25%.
Set up the equation
Convert the given percentage statement into a mathematical equation where SP is Selling Price and CP is Cost Price.
0.15├ЧSP=0.20├ЧCP
Determine the ratio
Isolate the ratio of SP to CP by dividing both sides.
CPSPтАЛ=0.150.20тАЛ=34тАЛ
Calculate profit percentage
Use the profit formula where SP=4 units and CP=3 units. Profit is SPтИТCP=4тИТ3=1 unit.
Profit%=34тИТ3тАЛ├Ч100=31тАЛ├Ч100=33.33%
A is correct because the ratio of SP to CP is 4:3, resulting in a profit of 33.33% on the cost price.
This ratio-based approach is applicable to all 'profit and loss' questions involving equality of percentages, saving time over algebraic variable substitution.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants