If 750 is divided into two parts such that the ratio of one to the other is in the ratio 8 : 7, then find the smallest number.

Correct option is C

Given:
Total = 750
Ratio = 8 : 7
Formula Used:
If a number is divided in the ratio a : b, then the parts are:
​$$\text{First part} = \left(\frac{a}{a+b}\right) \times \text{Total} \\\ \\\text{Second part} = \left(\frac{b}{a+b}\right) \times \text{Total}$$​​
Solution:
Sum of ratio terms = 8 + 7 = 15
First part = $$\frac 8{15}$$​ × 750 = 400
Second part = $$\frac 7{15}$$​ × 750 = 350
Smallest number = 350