# Two friends A and B are standing on a Banglore highway. The distance between them is of 30m. Their common friend C is standing between them such that

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Two friends A and B are standing on a Banglore highway. The distance between them is of 30m. Their common friend C is standing between them such that the distance between A and C is of 6m. If C moves towards B then the distance between A and C increased by 10%. Find the correct statement(s) from the above given information∶

a) The distance between B and C is decreased by 30%.

b) The new distance between B and C is 23.4m

Choose the correct option ∶

1. Only a
2. Only b
3. Both a and b
4. Neither a and b

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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).