40 people consume 320kg of rice in 50days. In how many days will 30 people consume 80kg of rice?

Correct option is B

Given:
rice consumed by 40 men in 50 days =320 kgs
Formula Used:
Let number of men, total days and total food provision be M,D & F.
Then, $$\frac{M_{1}\times D_{1}}{F_{1}} = \frac{M_{2}\times D_{2}}{F_{2}}$$​
Solution:
If 40 person consume 320 kgs of rice in 50 days then 30 persons will consume 80 kgs of rice in x days
$$\frac{M_{1}\times D_{1}}{F_{1}} = \frac{M_{2}\times D_{2}}{F_{2}}$$​
$$\frac{40\times 50}{320} = \frac{30\times x}{80}$$​
$$\frac{40\times 50 \times 80}{320 \times 30 } = x$$​
x= $$\frac{50}{3}$$​ = $$16\frac{2}{3}$$​
80 kgs of rice will be consumed in 16\frac{2}{3} days by 30 persons