Question:medium
$X=$ Profit amount of Mobile; $Y=$ Discount amount of Mobile. Decide the relation between $X$ and $Y$.
$X=$ Profit amount of Mobile; $Y=$ Discount amount of Mobile. Decide the relation between $X$ and $Y$.
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If profit amount equals discount amount, then $X \geq Y$ is chosen, since equality satisfies the condition.
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 C
Solution and Explanation
Step 1: The Mobile's cost price is ₹20833.33 and it earns a \( 50\% \) profit, so the profit amount is \( X = 0.5 \times 20833.33 = ₹10416.67 \).
Step 2: The Mobile's marked price is ₹41666.67, and a \( 25\% \) discount brings it down to the selling price of ₹31250, so the discount amount is \( Y = 41666.67 - 31250 = ₹10416.67 \).
Step 3: Comparing the two, \( X = ₹10416.67 \) and \( Y = ₹10416.67 \) are equal, so \( X \geq Y \) holds.
Step 4: \[ \boxed{X \geq Y} \]
Step 2: The Mobile's marked price is ₹41666.67, and a \( 25\% \) discount brings it down to the selling price of ₹31250, so the discount amount is \( Y = 41666.67 - 31250 = ₹10416.67 \).
Step 3: Comparing the two, \( X = ₹10416.67 \) and \( Y = ₹10416.67 \) are equal, so \( X \geq Y \) holds.
Step 4: \[ \boxed{X \geq Y} \]
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