Question

A mixture is formed by mixing two varieties of wheat
P and Q whose quantities are in the ratio 4:3. The
cost of P exceeds the cost of Q by 37 per kg. The
cost of the mixture is *23 per kg. Find the cost of Q
(In per kg)​

Answer 1

The cost of variety Q is 19 per kg.

Given:

A mixture is formed by mixing two varieties of wheat P and Q whose quantities are in the ratio 4:3. The cost of P exceeds the cost of Q by 7 per kg. The cost of the mixture is ₹ 23 per kg.

To find:

Find the cost of Q (per kg)​

Solution:

Complete Question:

A mixture is formed by mixing two varieties of wheat P and Q whose quantities are in the ratio 4:3. The cost of P exceeds the cost of Q by 37 per kg. The cost of the mixture is ₹ 23 per kg. Find the cost of Q

(In per kg)​

(a) 20   (b) 19   (c) 22    (d) 18

Let the cost of wheat variety P is x per kg.

Hence, wheat variety Q costs (x - 7) per kg.

Now, let's consider that we have 4 kg of P and 3 kg of Q.

Then, the total cost of the mixture would be:

=> 4x + 3(x - 7) = 23(4 + 3)

Simplifying the above equation

=> 4x + 3x - 21 = 161

=> 7x = 182

=> x = 26

Therefore, the cost of Q (in per kg) would be:

=> x - 7 = 26 - 7 = 19

Therefore,

The cost of variety Q is 19 per kg.

Learn more at

https://brainly.in/question/24636524

#SPJ1