There is a bag with a mixture of sugar- rice and wheat grains- The quantity of rice is 4-5 th that of wheat and the quantity of sugar is 3-4 that of rice- In 12 kg of the mixture how much wheat and sugar will be there-

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Question

There is a bag with a mixture of sugar, rice and wheat grains. The quantity of rice is ${\frac{4}{5}}^{t h}$ that of wheat and the quantity of sugar is ${\frac{3}{4}}^{t h}$ that of rice. In 12 kg of the mixture how much wheat and sugar will be there?

7 kg

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10 kg

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8 kg

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none of these

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Solution

The correct option is C 8 kg
Answer = Option c

If we take the amount of Sugar as 3x, then Rice = 4x and Wheat = 5x (ratio = 3:4:5; as rice= $\frac{4}{5}$ wheat and sugar = $\frac{3}{4}$ rice)

12x= 12 x=1

Wheat = 5 kg and Sugar = 3 kg. Total = 8 kg

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There is a bag with a mixture of sugar, rice and wheat grains. The quantity of rice is 45th that of wheat and the quantity of sugar is 34th that of rice. In 12 kg of the mixture how much wheat and sugar will be there?

The correct option is C 8 kgAnswer = Option c If we take the amount of Sugar as 3x, then Rice = 4x and Wheat = 5x (ratio = 3:4:5; as rice= 45 wheat and sugar = 34 rice) 12x= 12 x=1 Wheat = 5 kg and Sugar = 3 kg. Total = 8 kg

There is a bag with a mixture of sugar, rice and wheat grains. The quantity of rice is ${\frac{4}{5}}^{t h}$ that of wheat and the quantity of sugar is ${\frac{3}{4}}^{t h}$ that of rice. In 12 kg of the mixture how much wheat and sugar will be there?

The correct option is C 8 kg
Answer = Option c

If we take the amount of Sugar as 3x, then Rice = 4x and Wheat = 5x (ratio = 3:4:5; as rice= $\frac{4}{5}$ wheat and sugar = $\frac{3}{4}$ rice)

12x= 12 x=1

Wheat = 5 kg and Sugar = 3 kg. Total = 8 kg