Question

a store keeper wants to mix two types of rice flour that are worth 50 per kg and 60 per kg with a third type of rice flour in the ratio 1:3:6. In the given context, determine the price per kg of the third type of rice flour if the resultant mixture is worth 45 per kg.

Answer 1

Answer:

Given:

The selling price of the mixture = 49.5 per kg

Profit percentage = 10 percent

Rate of the first type of rice = 50 per kg

Rate of the second type of rice = 30 per kg

Formula used:

Profit percent = (Profit/Cost price) × 100

Calculation:

Cost price of the mixture = 49.5 × [100/(100 + 10)]

⇒ 49.5 × 100/110 = 45 per kg

Let the quantity of the first type of rice be x

Let the quantity of the second type of rice be y

(50 × x) + (30 × y) = 45 × (x + y)

⇒ 50x + 30y = 45x + 45y

⇒ 50x – 45x = 45y – 30y

⇒ 5x = 15y

⇒ x = 3y

⇒ x : y = 3 : 1

∴ The ratio in which both types of rice mixed is 3 : 1.

Step-by-step explanation:

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