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
A sells an item to B at 10% profit, and B sells it to C at 20% profit. If C paid ₹2640, what was the cost price for A?
₹2000
₹2200
₹2400
₹2100
₹2000
Convert percentage profits to multipliers (1.10 and 1.20), multiply them to get 1.32, and divide the final price by 1.32 to directly get A's cost price.
Profit made by A = 10%, Profit made by B = 20%, Final selling price paid by C = ₹2640
CPC=CPA×(1+10010)×(1+10020)
Convert percentage profits to multipliers (1.10 and 1.20), multiply them to get 1.32, and divide the final price by 1.32 to directly get A's cost price.
Adding the profit percentages together (10%+20%=30%) instead of calculating the successive compounding effect.
Define Variables and Successive Relation
Let the cost price for A be CA. Since A sells to B at 10% profit and B sells to C at 20% profit, the final price paid by C is given by the successive equation.
CA×1.10×1.20=2640
Simplify the Multipliers
Multiply the decimal factors 1.10 and 1.20 together to find the overall multiplier for the initial cost price.
1.10×1.20=1.32
Calculate Cost Price for A
Substitute the combined multiplier back into the equation and solve for CA by dividing 2640 by 1.32.
CA=1.322640=2000
Verify with Options
The calculated cost price for A is ₹2000, which matches Option A.
CA=₹2000
A is correct because the cost price for A calculated using successive profit multipliers is ₹2000.
Successive percentage changes are also foundational in solving problems related to compound interest, population growth, and successive discounts.
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