Join 60,000+ competitive exam aspirants
or with email
Your Cart
Subtotal₹0
Total₹0
Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Join 60,000+ competitive exam aspirants
The percentage profit earned by James by selling an article for ₹1,920, equals the percentage loss suffered by selling it at ₹1,500. What should be the selling price if he wants to earn 10% profit?
₹4,000
₹1,881
₹7,000
₹2,000
₹1,881
When profit percentage equals loss percentage, the Cost Price (CP) is simply the arithmetic mean of the two selling prices. Calculate CP, then add 10% to find the new selling price.
Selling Price 1 (SP1) = ₹1,920, Selling Price 2 (SP2) = ₹1,500. Profit % at SP1 = Loss % at SP2. Target Profit = 10%.
CostPrice(CP)=2SP1+SP2
When profit percentage equals loss percentage, the Cost Price (CP) is simply the arithmetic mean of the two selling prices. Calculate CP, then add 10% to find the new selling price.
Students often try to set up complex algebraic equations for Profit % and Loss % instead of using the average SP trick. Forgetting to calculate the 10% markup on the CP at the final step is also common.
Calculate the Cost Price (CP)
Since the percentage profit at ₹1,920 is equal to the percentage loss at ₹1,500, the CP is the average of the two prices.
CP=21920+1500=23420=1710
Calculate the target Selling Price
To earn a 10% profit, calculate 110% of the cost price.
New SP=1710×1.10=1881
B is correct because the Cost Price is ₹1,710 and the price to earn a 10% profit is 1710 + 171 = ₹1,881.
This concept frequently appears in 'Profit and Loss' chapters where the CP is equidistance from two SPs. It is also linked to basic 'Averages' concepts in Data Interpretation.
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 • 100K+ Aspirants