Suraj0184
A shopkeeper makes a profit of 20% based on the selling price of article A; his apprentice notes that he makes X% profit on the cost price. For article B, the shopkeeper makes a profit of 25% based on the selling price, and the apprentice notes that he makes a Y% profit on the item's cost price. What is the value of X:Y?
A. 2:1
B. 5:4
C. 3:4
D. 2:3
E. 1:2
A shopkeeper makes a profit of 20% based on the selling price of article A...Assume the selling price is $ \(100\) → Profit = $\(20\) → Cost Price = $\(100 -\) $\(20\) = $\(80\)
...his apprentice notes that he makes X% profit on the cost price...Profit on cost price (X%) = \(\frac{20}{80} * 100 = \frac{100}{4}\)
...For article B, the shopkeeper makes a profit of 25% based on the selling price...Assume the selling price is $ \(100\) → Profit = $\(25\) → Cost Price = $\(100 -\) $\(25\) = $\(75\)
...and the apprentice notes that he makes a Y% profit on the item's cost price...Profit on cost price (Y%) = \(\frac{25}{75} * 100 = \frac{100}{3}\)
\(\frac{X}{Y} = \frac{\frac{100}{4}}{\frac{100}{3}}\)
\(\frac{X}{Y} = \frac{100}{4}*\frac{3}{100} = \frac{3}{4}\)
Option CAttachment:
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