Question

a grocer blends two varieties of rice costing rupees 184 and rupees 124 per kg in the ratio of their costs. if the weight of the mixture is 150 kg . then find the weight of each variety of rice​

Answer 1

The weight of rice costing 184 rupees per kg is 89.61 kg and the rice costing rupees 124 per kg is 60.39 kg.

• The grocer blends two varieties of rice costing rupees 184 and rupees 124 per kg.

• The ratio of the rice are according to their costs.

• Ratio of their costs = $\frac{184}{124}$

Ratio of their costs = 46/31

• Now the weight of the mixture is 150 kg.

• The mixture contains the ratio of rice in the ratio of their cost that is 56/31.

• Now the amount of rice costing rupees 184 per kg present in 150 kg is 46x and the amount of rice costing rupees 124 per kg present in 150 kg is 31x.

• Now ,

46x + 31x = 150

77x = 150

x = 150/77

• Now the weight of rice costing 184 rupees is 46 × (150/77) = 89.61 kg and the weight of rice costing 124 rupees is 31 × (150/77) = 60.39 kg