A shopkeeper mixes two qualities of rice, which cost him ₹40 per kg and ₹47.50 per kg respectively, in such a way that he has 15 kg of the blended rice costing him a total of ₹645. What is the weight (in kg) of the rice that cost him ₹47.50 per kg?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 6
Given:
Per Kg cost of type 1 rice = ₹40
Per Kg cost of type 2 rice = ₹47.50
Price of 15 Kg blended rice = ₹645
Explanation:
Let the quantity of type 1 rice be X Kg and wuantity of type 2 rice be Y Kg.
From the given question,
⇒ X + Y = 15 ....(i)
⇒ 40X + 47.50Y = 645 ....(ii)
Solving equation (i) and equation (ii), we get
⇒ X = 15 - Y {from equation (i)}
Substituting in equation (ii),
⇒ 40(15 - Y) + 47.50Y = 645
⇒ 600 - 40Y + 47.50Y = 645
⇒ 7.50Y = 45
⇒ Y = 6
Putting in equation (i), we get X = 9 Kg
Hence the required answer is 6 Kg.