The ratio of two numbers is 3 : 8. If the sum of both the numbers is 220, then what is the smaller number among both the numbers?

Correct option is C

Given:

Ratio of two numbers = 3 : 8

Sum of the numbers = 220

Solution:

Let the numbers be 3x and 8x
Then, 3x + 8x = 11x = 220

​$$\Rightarrow x = \frac{220}{11}$$​​
Smaller number = 3x

So, $$11 \text{ units} = 220$$​​

​$$\Rightarrow 3 \text{ units} = \frac{220}{11} \times 3 = 20 \times 3 = 60$$​​

Thus, the correct option is (c) ₹60 

Alternate Method:

Total parts = 3 + 8 = 11
One part = $$\frac{220}{11} = 20$$​​
Smaller number = $$3 \times 20 = 60$$​​