Question

A certain quantity of rice is spent daily for 30 students in a hostel. One day some students were absent as a result, the quantity of rice has been spent in the ratio of 6 : 5. How many students were present on that day?
Option
(a)24
(b)20
(c)15
(d)25

Answer 1

Answer:25

Step-by-step explanation:

Here is the answer

Answer 2

There were 25 students present on that day.

Step-by-step explanation:

A certain amount of rice is given daily for 30 students.

Let the quantity of rice for each student allotted is x kg.

So, it will consume 30x kg of rice by the 30 students.

Let on that day n number of students were present.

So, they will consume xn kg of rice.

Now, given that 30x : nx = 6 : 5

⇒ 30 : n = 6 : 5

⇒ $\frac{30}{n} = \frac{6}{5}$

⇒ n = 25.

Therefore, there were 25 students present on that day. (Answer)