Explanation

Cost Price = Rs. 60,000

Profit % = 15%

Profit = 15% of 60,000 = 0.15 × 60,000 = Rs. 9,000

Selling Price = Cost Price + Profit

= 60,000 + 9,000

= Rs. 69,000

Explanation

To find B - A, we look for elements that are in B but not in A.

A = {1,2,3,6}

B = {2,4,5,7}

Elements in B: 2, 4, 5, 7

Remove elements that are also in A: 2 is in A, so remove it.

Remaining elements in B: 4, 5, 7

∴ B - A = {4,5,7}

Explanation

Let's simplify:

27/169 × 169/123 × 123/108

= 27/108

= 1/4

Explanation

Explanation

Explanation

1300/2600 = 1/2

= 0.5

Explanation

2z/5 + 21/3 = 9

=> 2z/5 + 7 = 9

=> 2z/5 = 2

=> 2z = 10

=> z = 5

Explanation

An improper fraction is one where the numerator is greater than or equal to the denominator.

Looking at the options:

• 11/13 (proper)
• 13/15 (proper)
• 13/10 (improper)
• 11/12 (proper)

Explanation

To find the fraction, we'll divide 330 by 990:

330 ÷ 990 = 1/3

So, 330 pigeons are 1/3 fraction of 990 pigeons.

Explanation

cos(60°) = 1/2, sin(30°) = 1/2

cos²(60°) + sin²(30°) = (1/2)² + (1/2)²

= 1/4 + 1/4

= 1/2