75 kg of wheat is being consumed in 30 days by 24 persons. how many persons will consume 50 kg of wheat in one month and ten days??

Answer :

75 kg of wheat is being consumed in 30 days by 24 persons .

So ,

75 kg of wheat is being consumed in 1 days by 30 $\times$ 24 persons .

And

1 kg of wheat is being consumed in 1 days by  $\frac{30 \times 24}{75} = \frac{2 \times 24}{5}$ persons .

So,

1 kg of wheat is being consumed in 40 days by  $\frac{2 \times 24}{5 \times 40} = \frac{24}{5 \times 20} = \frac{6}{5 \times 5}$ persons .

Therefore,

50 kg of wheat is being consumed in 40 days by  $\frac{6 \times 50}{5 \times 5} = 6 \times 2 = \mathbf{12}$ persons .                                              ( Ans )