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 dealer buys three varieties of apples at ₹50, ₹40 and ₹30 per kilogram respectively. He mixes them in the ratio 2:4:9 respectively, by weight, and sells them at a profit of 30%. At what approximate price (per kilogram) does he sell the mixed variety of apples?
₹23.50
₹45.90
₹10.80
₹75.00
₹45.90
Calculate the average cost price using weights (2, 4, 9) and multiply by 1.3 (30% profit). Weighted Cost = [(502)+(404)+(30*9)] / (2+4+9) = (100+160+270)/15 = 530/15 = 35.33. Selling Price = 35.33 * 1.3 = 45.929.
Cost prices of three apple varieties: 50, 40, 30 per kg. Mixing ratio: 2 : 4 : 9. Profit percentage: 30%.
WeightedAverage=∑Weighti∑(Pricei×Weighti), SellingPrice=CostPrice×(1+100Profit%)
Calculate the average cost price using weights (2, 4, 9) and multiply by 1.3 (30% profit). Weighted Cost = [(502)+(404)+(30*9)] / (2+4+9) = (100+160+270)/15 = 530/15 = 35.33. Selling Price = 35.33 * 1.3 = 45.929.
Adding prices directly and dividing by 3 (simple average) instead of using the weighted average according to the given ratio.
Calculate total weighted cost
Assign weights 2, 4, and 9 to prices 50, 40, and 30.
TotalCost=(50×2)+(40×4)+(30×9)=100+160+270=530
Calculate average cost price
Divide total cost by the sum of ratios 2+4+9=15.
AverageCost=15530≈35.33
Apply profit margin
Calculate selling price with 30% profit (1.3 multiplier).
SellingPrice=35.33×1.3=45.929≈45.90
B is correct because the weighted average cost price of the mixture is approximately 35.33, and applying a 30% profit results in an approximate selling price of 45.90.
This concept is foundational for mixture and alligation problems, which appear frequently in competitive exams to test speed in weighted calculation.
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