Question

Rice worth Rs. 120 per kg and Rs. 130 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 170 per kg, the price of the third variety per kg will be?

Answer 1

Answer:

third variety rice ₹215 per kg

Step-by-step explanation:

let, third variety = X.

mixed rice = (120*1 + 130*1 + X*2)/4 = 170

or, 250 + X*2 = 170*4

or, X*2 = 680 - 250

or, X = 430/2 = 215

Answer 2

The price of third variety of rice would be rs 215 per kg.

Step-by-step explanation:

Given ratio of quantities of the three varieties of rice in the mixture = 1:1:2,

Consider quantity of,

First variety = x,

Second variety = x,

Third variety = 2x,

Where, x is any positive real number.

Total quantity = x + x + 2x = 4x,

∵ first variety and second variety cost Rs. 120 per kg and Rs. 130 per kg respectively,

Let rs y per kg is the price of third one,

Since,

total cost = cost per kg × number of kg,

Thus, total cost = 120x + 130x + 2x(y) = 250x + 2xy

But the cost of resultant rice = Rs. 170 per kg

So, total cost = 170(4x) = 680x

$\implies 250x + 2xy = 680x$

$250 + 2y = 680$

$2y = 430$

$y =\frac{430}{2}=215$

Hence, the price of third variety of rice would be rs 215 per kg.

#Learn more:

How many kg of rice worth Rs. 96 per kg should be mixed with 15 kg of rice worth Rs. 80 per kg to obtain a mixture costing Rs. 90 per kg?

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