Correct Answer - Option 2 : Only b
Given∶
The distance between A and B is of 30m.
The distance between A and C is of 6m.
If C moves towards B the distance between A and C is increased by 10%.
Formula Used∶
Basics of percentage and simplification.
Calculation∶
The distance between A and B = 30m.
The distance between A and C = 6m.
The distance between B and C = 30 - 6 = 24m
Now, The distance between A and C is increased by 10%.
Increase in distance between A and C = (10/100) × 6 = 0.6m
So, increased distance = 6 + 0.6 = 6.6m
New distance between B and C = 30 - 6.6 = 23.4m
So, statement b is correct.
The decrease in the distance between B and C is 0.6 m
Thus, Required percentage = (0.6/24) × 100 = 2.5%
The distance between B and C is decreased by 2.5%.
So, statement a is not correct.
∴ The correct option is 2 (Only b).