Question

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute. 10 such machines can produce toys in 5 minutes.

• A. 2700
• B. 3500
• C. 4200
• D. 4500

Answer 1

The correct option is B 3500

Let the required number of toys produced by 7 machines in 5 mins be $n$
As the time increases, number of toys increases. They are in direct proportion.

$⟹$ n = 490 x 5= 2450

So, 7 machines can make 2450 toys in 5 minutes.

Now, as the number of machines increases, number of toys increases. They are in direct proportion.
Let $k$ be the number of toys produced by 10 machines in 5 mins

$k=\frac{2450\times 10}{7}$
i.e.,$k=3500$
So, the number of toys produced by 10 machines in 5 minutes = 3500