GATE 2026 CE (CE2) – 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.
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 |
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Show answer and explanation
Correct answer: (B) 50
Explanation
Let the quantity of T be $t$, so S, R and Q are $2t$, $3t$ and $4t$, and let P be $p$. The count gives $p + 10t = 250$. The total sales value is $250 \times 60 = 15000$, so $100p + 50(4t) + 40(3t) + 60(2t) + 60t = 100p + 500t = 15000$. Substituting $p = 250 - 10t$ gives $25000 - 500t = 15000$, so $t = 20$ and $p = 250 - 200 = 50$.