Wheat costing Rs. 40 per kg is mixed with wheat costing Rs. 60 per kg. Match List-I with List-II, where List-I gives the ratio (Rs. 40 wheat : Rs. 60 wheat) and List-II gives the price of the mixture in rupees per kg.
| List-I | List-II | ||
| (A) | \(1 : 1\) | (I) | 45 |
| (B) | \(3 : 1\) | (II) | 50 |
| (C) | \(1 : 4\) | (III) | 52 |
| (D) | \(2 : 3\) | (IV) | 56 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
For the ratio \(m : n\), the price of the mixture is the weighted mean \(\displaystyle \frac{40m + 60n}{m + n}\).
(A) \(1 : 1\)
This matches (II) 50.
\(\displaystyle \frac{40 + 60}{2} = 50\)
(B) \(3 : 1\)
This matches (I) 45.
\(\displaystyle \frac{120 + 60}{4} = 45\)
(C) \(1 : 4\)
This matches (IV) 56.
\(\displaystyle \frac{40 + 240}{5} = 56\)
(D) \(2 : 3\)
This matches (III) 52.
\(\displaystyle \frac{80 + 180}{5} = 52\)