Find the ratio in which a grocer should mix two varieties of pulses costing Rs.75 and Rs.90 per kg, respectively, so as to get a mixture costing Rs.80 per kg.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 2 : 1.
Given:
A grocer wants to mix two different pulses costing ₹75 and ₹90 per kg, to get a mixture costing ₹80 per kg.
Concept Used:
Price of component A × quantity of A + Price of component B × quantity of B = Total quantity × final price
Explanation:
Let the grocer take x kg of the pulses costing Rs 75 per kg and y kg of the pulses costing Rs 90 per kg, to make the mixture worth Rs 80 per kg.
The total weight of the mixture = x+y kg
Total cost of the mixture = Rs. (x+y)80
Therefore -
⇒ 75x + 90y = (x + y)80
⇒ 75x + 90y = 80x + 80y
⇒ 5x = 10y
⇒ x/y = 2/1 = 2 : 1