Question:medium
$X=$ Cost price of Cooler; $Y=$ Profit amount of Laptop. Decide the relation between $X$ and $Y$.
$X=$ Cost price of Cooler; $Y=$ Profit amount of Laptop. Decide the relation between $X$ and $Y$.
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Always include both discount and profit in your calculations. Ignoring discount first can make the profit appear smaller than it actually is.
Updated On: Jul 16, 2026
- If $X > Y$
- If $X < Y$
- If $X \geq Y$
If $X \leq Y$ or can't be determined
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The Correct Option is A
Solution and Explanation
Step 1: The T.V.'s marked price is \( 24000/0.4 = ₹60000 \), so its selling price is \( 60000-24000=₹36000 \), and at \( 20\% \) profit its cost price is \( 36000/1.2=₹30000 \).
Step 2: The Cooler sells for half the T.V.'s cost price, i.e. ₹15000, and at \( 10\% \) profit its cost price is \( X = 15000/1.1 = ₹13636.36 \).
Step 3: The A.C. sells for \( 30000/0.6=₹50000 \), so the Laptop sells for \( 50000 \times 1.5=₹75000 \), and at \( 20\% \) profit its cost price is \( 75000/1.2=₹62500 \), giving a profit of \( Y = 75000-62500=₹12500 \).
Step 4: Since \( 13636.36 \gt 12500 \), \[ \boxed{X \gt Y} \]
Step 2: The Cooler sells for half the T.V.'s cost price, i.e. ₹15000, and at \( 10\% \) profit its cost price is \( X = 15000/1.1 = ₹13636.36 \).
Step 3: The A.C. sells for \( 30000/0.6=₹50000 \), so the Laptop sells for \( 50000 \times 1.5=₹75000 \), and at \( 20\% \) profit its cost price is \( 75000/1.2=₹62500 \), giving a profit of \( Y = 75000-62500=₹12500 \).
Step 4: Since \( 13636.36 \gt 12500 \), \[ \boxed{X \gt Y} \]
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