What costing Rs 35/kg, Rs 42/kg and a third variety of wheat are mixed in the ratio of 3 : 5 : 7. If the mixture costs Rs 38/kg, then what will be the cost of the third variety of wheat?
Answer & explanation
Correct answer: option 1
ATQ, cost of wheat is:
I. 35 × 3 = 105 .... (i)
II. 42 × 5 = 210 ... (ii)
III. R × 7 = 7R ...(iii)
Equation (i) + (ii)
⇒ Total value of 1st and 2nd variety of wheat = 105 + 210 = 315
⇒ Total quantity = 15 Kg
Hence, total value of whole wheat = 15 × 38 = 570
⇒ Total value of 3rd variety of wheat = 570 - 315 = 255
Therefore,
⇒ Cost of 3rd variety of wheat = \(\frac{255}{7}\) = Rs.36.42 per kg