Explanation

Cost of 8 fans = Rs. 32,000

Cost of 1 fan = 32,000 / 8 = Rs. 4,000

Cost of 12 fans = 12 × 4,000 = Rs. 48,000

Explanation

Let's say the number is x:

0.4x + 240 = x

240 = x - 0.4x

240 = 0.6x

x = 240 / 0.6

x = 400

Explanation

First, let's convert 2 years to months:

2 years = 24 months

Now, the ratio is:

18 months : 24 months

= 3 : 4

Explanation

Let's solve this:

Work = Force × Time (or Workers × Days)

28 workers × 26 days = x workers × 13 days

x = (28 × 26) / 13

x = 56 workers

Explanation

Let's find the third number:

Average = (Sum of numbers) / 3

65 = (60 + 75 + x) / 3

65 × 3 = 60 + 75 + x

195 = 135 + x

x = 195 - 135

x = 60

Explanation

The perimeter of a circle, also known as its circumference, is the distance around the circle.

The formula for the circumference of a circle is given by 2πr, where r is the radius of the circle.

This formula is derived from the fact that the circumference is proportional to the diameter (2r) of the circle, with π being the constant of proportionality.

Explanation

Loss = Marked Price - Selling Price = 800 - 560 = 240

Loss % = (Loss / Marked Price) × 100

= (240 / 800) × 100

= 30%

Explanation

A ∪ B means the union of sets A and B, which includes all elements from both sets without duplicates.

A ∪ B = {10, 20, 30, 40, 50}

Explanation

Let's simplify:

16/15 × 15/17 × 17/96 = 16/96 = 1/6

Explanation

Let's convert 27 to binary:

27 = 16 + 8 + 2 + 1

= 2^4 + 2^3 + 2^1 + 2^0

= 11011 (binary)