A man buys 10 kg of wheat at a rate of ₹26/kg. The wheat is mixed with 6 kg of other good quality wheat to get a mixture at a price of ₹35/kg. What is the price of good quality wheat per kg (in ₹)?

Question

Accepted Answer

Let the price of good quality wheat be x ₹/kg.

Total cost of 10 kg wheat at ₹26/kg = 10 × 26 = ₹260
Total cost of 6 kg good quality wheat = 6 × x = 6x

Total weight of mixture = 10 + 6 = 16 kg
Price of mixture = ₹35/kg

Total cost of mixture = 16 × 35 = ₹560

According to the problem:
260 + 6x = 560
6x = 560 - 260 = 300
x = 300 / 6 = 50

However, the options given are 46, 38, 42, 50. The calculation shows 50, but let's re-check the problem statement.

Rechecking the problem:
The mixture price is ₹35/kg for 16 kg total.
Total cost = 16 × 35 = ₹560
Cost of 10 kg wheat = 10 × 26 = ₹260
Cost of 6 kg good quality wheat = 6x

So, 260 + 6x = 560
6x = 300
x = 50

Therefore, the price of good quality wheat per kg is ₹50.

The correct answer is option 4: 50.

Answer

Answer

Answer