GATE 2026 ME – Question 7
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.
| Product | P | Q | R | S | T |
|---|---|---|---|---|---|
| Unit selling price (Rs.) | 100 | 50 | 40 | 60 | 60 |
What is the quantity of product P sold on that day?
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: (B) 50
Explanation
Let $T$ be the quantity of T sold. Then S $= 2T$, R $= 3T$ and Q $= 4T$, so P $= 250 - 10T$. The total sales are $250 \times 60 = 15000$. The sum of price times quantity is $100(250 - 10T) + 50(4T) + 40(3T) + 60(2T) + 60T = 25000 - 500T$. Setting this equal to 15000 gives $T = 20$, so P $= 250 - 200 = 50$.