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
If a man bought 6 pencils for ₹5, and sold them at 5 pencils for ₹6, then the gain percentage is ________.
42%
41%
43%
44%
44%
To avoid fractions, make the number of pencils equal. LCM(6, 5) = 30. CP for 30 pencils = 5 × (30/6) = ₹25. SP for 30 pencils = 6 × (30/5) = ₹36. Profit = 36 - 25 = 11. Profit % = (11/25) × 100 = 44%.
Cost Price (CP) = 6 pencils for ₹5, Selling Price (SP) = 5 pencils for ₹6.
Gain Percentage=(CPSP−CP)×100
To avoid fractions, make the number of pencils equal. LCM(6, 5) = 30. CP for 30 pencils = 5 × (30/6) = ₹25. SP for 30 pencils = 6 × (30/5) = ₹36. Profit = 36 - 25 = 11. Profit % = (11/25) × 100 = 44%.
Many students calculate the gain based on the quantity difference (6-5) rather than the monetary value, or they reverse the CP and SP.
Normalize quantity
To compare pricing, find a common number of pencils (LCM of 6 and 5 is 30). Buying 30 pencils costs 5×5=25 rupees.
CP=25
Calculate total revenue
Selling 30 pencils at 5 pencils for 6 rupees yields 6×6=36 rupees.
SP=36
Apply Gain Formula
The gain is 36−25=11. The gain percentage is calculated as (Gain/CP)×100.
Gain%=2511×100=44%
D is correct because the gain calculated on the normalized quantity of 30 pencils is 44%.
This concept of equalizing quantities is vital for 'Mixture and Alligation' problems where items are bought at different rates and mixed.
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