Question:medium
$X=$ Marked price of Laptop; $Y=$ Marked price of A.C. Decide the relation between $X$ and $Y$.
$X=$ Marked price of Laptop; $Y=$ Marked price of A.C. Decide the relation between $X$ and $Y$.
Show Hint
Always recalculate MP from SP using the discount formula: $SP = MP \times (1 - \text{Discount})$. This avoids mistakes in comparison.
Updated On: Jul 16, 2026
- If $X > Y$
- If $X < Y$
- If $X \geq Y$
If $X \leq Y$ or can't be determined
Show Solution
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 ₹36000, and at \( 20\% \) profit its cost price is \( 36000/1.2=₹30000 \).
Step 2: The A.C. sells for \( 30000/0.6=₹50000 \), and since it carries a \( 20\% \) discount, its marked price is \( Y = 50000/0.8=₹62500 \).
Step 3: The Laptop sells for \( 50000 \times 1.5=₹75000 \), and since it carries a \( 30\% \) discount, its marked price is \( X = 75000/0.7=₹107142.86 \).
Step 4: Since \( 107142.86 \gt 62500 \), \[ \boxed{X \gt Y} \]
Step 2: The A.C. sells for \( 30000/0.6=₹50000 \), and since it carries a \( 20\% \) discount, its marked price is \( Y = 50000/0.8=₹62500 \).
Step 3: The Laptop sells for \( 50000 \times 1.5=₹75000 \), and since it carries a \( 30\% \) discount, its marked price is \( X = 75000/0.7=₹107142.86 \).
Step 4: Since \( 107142.86 \gt 62500 \), \[ \boxed{X \gt Y} \]
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