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)

Explanation

60% of 90 = 0.6 × 90 = 54

50% of 80 = 0.5 × 80 = 40

54 - 40 = 14

Explanation

42/60 = 7/10 = 0.7

Explanation

Let's solve for y:

3y/2 + 3/6 = 14

3y/2 + 1/2 = 14

(3y + 1)/2 = 14

3y + 1 = 28

3y = 27

y = 9

Explanation

A proper fraction is a fraction where the numerator is less than the denominator.

Let's check the options:

7/6: numerator (7) > denominator (6) ❌

5/4: numerator (5) > denominator (4) ❌

9/10: numerator (9) < denominator (10) ✅

11/8: numerator (11) > denominator (8) ❌

So, the proper fraction is 9/10.

Explanation

1 day = 24 hours

12 hours = 12/24 = 1/2 day

Explanation

tan(60°) cot(60°) = tan(60°) × 1/tan(60°) = 1