Explanation

(x+y) + (x-y) = 112

2x = 112

x = 56

Explanation

4x - 15 = 50

4x = 50 + 15

4x = 65

x = 65/4

x = 16.25

Explanation

Explanation

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%

Explanation

:SI = (P × R × T)/100

= (15580 × 5 × 1.5)/100

= Rs. 1168.50

Explanation

1 2/3 = 5/3 = 20/12,

so 20/12 - 7/12 = 13/12 = 1 1/12

Explanation

Step 1: Let A's time = t seconds

- So, B’s time = t + 10 seconds

- B runs 950 meters in t seconds (because when A finishes, B is at 950 meters)

- So B’s speed = 950 / t meters per second

Now use B’s speed to find time B takes to run full 1000 meters:

Time = Distance / Speed = 1000 / (950 / t) = (1000t) / 950

We’re also told that B takes 10 seconds more than A:

So,

(1000t / 950) = t + 10

Multiply both sides by 950:

1000t = 950t + 9500

1000t - 950t = 9500

50t = 9500

t = 190 seconds

Explanation

Interior angle of a regular n-gon: (n−2)·180°/n = 162°.

Solve:

(n − 2)·180 = 162n

180n − 360 = 162n

180n − 162n = 360

18n = 360

n = 360 / 18 = 20

Explanation

The sum of the exterior angles of any polygon is always 360 degrees. 

As for the interior angles, the sum of all the interior angles in a polygon is equal to: (n-2) x 180