Explanation

• Price of 2½ dozens eggs = Rs. 75

• 1 dozen = 12 eggs

So:

2x1​/2 dozens=2.5×12=30 eggs

Now find the price of one egg:

$$text{Price of 1 egg} = frac{75}{30} = text{Rs. 2.50}$$

Explanation

Convert the decimal to a fraction: The decimal 1.269 equals 1 + 0.269.

Express the decimal part as a fraction: 0.269 can be written as 269/1000.

Combine the whole number and fractional part: Therefore, 1.269 is equal to 1 + 269/1000.

Express as a mixed number: This equals 1 269/1000. 

Explanation

Total people = 100

Pepsi drinkers = 50

Coke drinkers = 40

Both = 20

People drinking Pepsi or Coke = Pepsi + Coke - Both

= 50 + 40 - 20

= 70

People drinking neither = Total - People drinking Pepsi or Coke

= 100 - 70

= 30

Explanation

Amount saved = 24

Percentage saved = 37.5% = 0.375

Weekly salary = Amount saved / Percentage saved

= 24 / 0.375

= 64

Explanation

Looking at the pattern:

20 → 20 (no change)

20 → 19 (decrease by 1)

19 → 16 (decrease by 3)

16 → 17 (increase by 1)

17 → 13 (decrease by 4)

13 → 14 (increase by 1)

14 → 11 (decrease by 3)

Now, we continue the alternating pattern:

11 → 12 (increase by 1)

12 → 9 (decrease by 3)

The next two numbers are 10, 10.

Explanation

Total students = 200

Soccer players = 120

Cricket players = 100

Students playing both games = (Soccer + Cricket) - Total

= (120 + 100) - 200

= 20

Students playing cricket but not soccer = Cricket - Both

= 100 - 20

= 80

Percentage = (80 / 200) * 100

= 40%

Explanation

To find the compound ratio, multiply the corresponding parts:

(3 * 8 * 25) : (4 * 15 * 28)

= 600 : 1680

Simplifying the ratio:

= 600 / 1680 = 5/14

= 5 : 14

Explanation

First, convert both to the same unit (grams):

3.5 kg = 3500 grams

280 grams (already in grams)

Ratio = 3500 : 280

Simplifying the ratio:

3500 / 280 = 12.5

280 / 280 = 1

12.5 : 1 = 25 : 2 (after multiplying both parts by 2)

Explanation

Number of applicants who appeared = 20

Total applicants = 80

Percentage = (20/80) * 100

= 0.25 * 100

= 25%

Explanation

Perimeter of Rhombus  = 2 (l +b)

                                         = 2 ( 6 +6 )

                                         = 2 (12)

                                         = 24