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There are two types of mixtures of Rice and Wheat. In the first type of mixture, the ratio of Rice and Wheat is 2 : 3 and in the second type of mixture, the ratio of rice and wheat is 3 : 2. Find the percentage of rice in the new mixture, if the new mixture is a mixture of the above two mixtures in the ratio of 3 : 5.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

(A) 52.5%

(B) 72%

(C) 62.5%

(D) 48%

(E) 76%

There are two types of mixtures of Wheat and Rice. In the first type of mixture, the ratio of Rice and Wheat is 2 : 3 and in the second type of mixture, the ratio of rice and wheat is 3 : 2. The percentage of rice in the new mixture, if the new mixture is a mixture of the above two mixtures in the ratio of 3 : 5 is 52.5%.

 

Given That:

In the first mixture, rice and wheat are divided by three.

The second mixture has a 3: 2 rice to wheat ratio.

A new mixture is a 3:5 combination of previous mixtures.

Using the given data, we have to calculate 

In first mixture, percentage of rice = (2/5) × 100 = 40%

In the second mixture, the percentage of rice in the second mixture = (3/5) × 100 = 60%

In new mixture, percentage of rice in new mixture = (3 × 40 + 5 × 60) / (3 + 5) = 420/8.

= 52.5%

Summary:

There are two types of mixtures of Rice and Wheat. In the first type of mixture, the ratio of Rice and Wheat is 2 : 3 and in the second type of mixture, the ratio of rice and wheat is 3 : 2. Find the percentage of rice in the new mixture, if the new mixture is a mixture of the above two mixtures in the ratio of 3 : 5. (A) 52.5% (B) 72% (C) 62.5% (D) 48% (E) 76%

There are two different kinds of rice and wheat blends. The ratio of rice to wheat in the first type of mixture is 2:3, whereas the ratio is 3:2 in the second type of mixture. If the new mixture is a combination of the aforementioned two mixes in the ratio of 3: 5, then rice makes up 52.5% of the new mixture.

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