GATE 2026 MT – Question 7
The unit selling prices of products P, Q, R, S, and T are listed below. On a particular day, 250 items were sold with an average selling price of Rs. 60. The quantity of S sold was twice that of T; the quantity of R was thrice that of T; and the quantity of Q was four times that of T.
Product P: Rs. 100 per item.
Product Q: Rs. 50 per item.
Product R: Rs. 40 per item.
Products S and T: Rs. 60 per item each.
What is the quantity of product P sold on that day?
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Show answer and explanation
Correct answer: (B) 50
Explanation
Let the quantity of T be $t$, and the quantity of P be $p$. The quantity constraint is $p+(4+3+2+1)t=250$, or $p+10t=250$.
The total revenue is $250\times60=15000$. Using the prices, $100p+(50\times4+40\times3+60\times2+60)t=15000$, so $100p+500t=15000$.
Substitute $p=250-10t$: $25000-500t=15000$, giving $t=20$ and $p=50$. Thus **50 items of P (B)** were sold.