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
When the selling price of a TV is ₹18,700, the shopkeeper incurs a loss of 15%. What should be the selling price of that TV so as to gain 15%?
₹43,200
₹25,300
₹19,800
₹34,200
₹25,300
Use the ratio of percentages: Target SP = (18700 / 85) * 115. Notice that 18700 / 85 = 220, so 220 * 115 = 25300.
Selling Price (SP1) = ₹18,700, Loss = 15%, Target Gain = 15%
SP2=SP1×(100−Loss%)(100+Gain%)
Use the ratio of percentages: Target SP = (18700 / 85) * 115. Notice that 18700 / 85 = 220, so 220 * 115 = 25300.
Students often calculate the Cost Price (CP) first (18700 / 0.85 = 22000) and then add 15% gain to the CP (22000 * 1.15), but they may miscalculate the division or the final product.
Define the relationship between SP and Gain/Loss
If SP is given at a percentage L, the cost price CP is given by CP=SP/(1−L/100). To achieve gain G, the new selling price is SPnew=CP×(1+G/100).
CP=0.8518700=22000
Calculate the required Selling Price
Apply the 15% gain to the calculated CP=22000.
SPnew=22000×1.15=25300
C is correct because the cost price of the TV is ₹22,000 and to earn a 15% gain, the selling price must be ₹22,000 + 15% of ₹22,000, which equals ₹25,300.
This type of proportional reasoning is identical to unit conversion problems where you convert a value based on a scale factor, useful in physics and chemistry calculations as well.
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