Question

A grocer blends two varieties of rice costing Rs 184 and Rs 124 per kg in the ratio of their costs. If the weight of the mixture is 150kg. Then find the weight of each variety of rice

Answer 1

In the resultant mixture, the weight of rice variety costing Rs. 184/kg is 89.61 kg and that of the rice variety costing Rs. 124 per kg is 60.39 kg.

Step-by-step explanation:

Let’s assume the two varieties of rice be “Rice 1” and “Rice 2”.

The cost of the Rice 1 = Rs. 184 per kg

The cost of the Rice 2 = Rs. 124 per kg

Since the grocer blends the two rice in the ratio of their costs

∴ The ratio of Rice 1 and Rice 2 = $\frac{184}{124} = \frac{46}{31}$

The weight of the final mixture = 150 kg

Thus,  

The weight of Rice 1 in the resultant mixture =  $\frac{46}{46+31} * 150$ = 89.61 kg

And,

The weight of Rice 2 in the resultant mixture = $\frac{31}{46+31} * 150$ = 60.38 kg

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