Explanation

A vertex is the corner or angular point where two sides of a triangle (or polygon) meet.

It is not related to circles, only to shapes with angles.

Last verified on 13-03-2026

Explanation

Radius is the line segment from the center of the circle to any point on its boundary.

It is half of the diameter of the circle.

Last verified on 13-03-2026

Explanation

CP = 10 × 120 = 1200

SP = 10 × 126 = 1260

Profit = 1260 - 1200 = 60

Profit% = (60/1200) × 100 = 5%

Last verified on 13-03-2026

Explanation

Let actual price = x

Discount = 20% of x = 0.2x

Selling price = x - 0.2x = 0.8x

0.8x = 64000

x = 64000 / 0.8 = 80000

Last verified on 13-03-2026

Explanation

Kamran's percentage = 458/500 × 100 = 91.6%

Sister's percentage = 559/600 × 100 = 93.17%

Sister's performance is better.

Last verified on 13-03-2026

Explanation

Let CP = 100

MP = 100 + 30% of 100 = 130

Discount = 20% of 130 = 26

SP = 130 - 26 = 104

Profit = 104 - 100 = 4

Profit% = 4%

Last verified on 13-03-2026

Explanation

• First angle = 40% of 90° = 0.4 × 90 = 36°
• Second angle = 60% of 90° = 0.6 × 90 = 54°

Last verified on 13-03-2026

Explanation

Nisar's percentage = 80/100 = 80%

Score out of 75 = 80% of 75 = 0.8 × 75 = 60

Last verified on 13-03-2026

Explanation

3 pipes fill the tank in 80 minutes.

1 pipe will fill it in 3 × 80 = 240 minutes.

5 pipes will fill it in 240/5 = 48 minutes.

Last verified on 13-03-2026

Explanation

Oranges sold = 2/7 × 140 = 40

Oranges spoilt = 3/14 × 140 = 30

Oranges left = 140 - 40 - 30 = 70

Last verified on 13-03-2026