GATE ME 2026 Set 1 — Question 7
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Question
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made:(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.What is the quantity of product P sold on that day?
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.What is the quantity of product P sold on that day?
| Product | P | Q | R | S | T |
|---|---|---|---|---|---|
| Unit selling price (Rs.) | 100 | 50 | 40 | 60 | 60 |
Correct answer
(B) 50
Solution
Let the quantity of product sold be .
From the given observations:
Total items sold = --- (1)Average selling price = Rs. 60. Total revenue = .
Revenue from each product:
Dividing by 100: --- (2)Subtracting equation (2) from (1):
.Substituting in equation (2):
.The quantity of product sold on that day is 50.
From the given observations:
- Quantity of
- Quantity of
- Quantity of
Total items sold = --- (1)Average selling price = Rs. 60. Total revenue = .
Revenue from each product:
Dividing by 100: --- (2)Subtracting equation (2) from (1):
.Substituting in equation (2):
.The quantity of product sold on that day is 50.
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