Question:medium
$X=$ Average profit amount of all items; $Y=$ Average discount amount of all items. Decide the relation between $X$ and $Y$.
$X=$ Average profit amount of all items; $Y=$ Average discount amount of all items. Decide the relation between $X$ and $Y$.
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When comparing averages, calculate the sum of all profits and discounts separately, then divide by the number of items before comparing.
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 B
Solution and Explanation
Step 1: Adding up all five cost prices gives ₹168636.36, and all five selling prices give ₹207250, so the total profit is \( 207250-168636.36=₹38613.64 \), making the average profit \( X = \frac{38613.64}{5} = ₹7722.73 \).
Step 2: Adding up all five marked prices gives ₹290059.53, so the total discount is \( 290059.53-207250=₹82809.53 \), making the average discount \( Y = \frac{82809.53}{5} = ₹16561.91 \).
Step 3: Comparing the two averages, \( 7722.73 \lt 16561.91 \).
Step 4: \[ \boxed{X \lt Y} \]
Step 2: Adding up all five marked prices gives ₹290059.53, so the total discount is \( 290059.53-207250=₹82809.53 \), making the average discount \( Y = \frac{82809.53}{5} = ₹16561.91 \).
Step 3: Comparing the two averages, \( 7722.73 \lt 16561.91 \).
Step 4: \[ \boxed{X \lt Y} \]
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