Explanation

Given:

- 6 men make 10 sofas in 2 days.

First, find the total man-days needed for 10 sofas:

6 men × 2 days = 12 man-days for 10 sofas.

So, man-days per sofa = 12 ÷ 10 = 1.2 man-days per sofa.

Now, for 8 sofas:

Total man-days needed = 8 sofas × 1.2 = 9.6 man-days.

If 8 men are working, number of days needed = 9.6 ÷ 8 = 1.2 days

Explanation

Given:

- 5 years ago, average age of A, B, C, and D = 45 years  

- So, total age of A, B, C, and D 5 years ago = 45 × 4 = 180 years  

- Now, their total age = 180 + (5 × 4) = 200 years

- Current average of A, B, C, D, E = 49 years  

- So, total age of all five = 49 × 5 = 245 years

Now, age of E = 245 − 200 = 45 years

Explanation

Given that A+B = 12 + B + C

=> A – C = 12 + B – B = 12

C is younger than A by 12 years.

Explanation

Let Shafqat's age = x

Barkat's age = 2x

Akhtar's age = 2x + 2

Sum: x + 2x + 2x + 2 = 27

5x + 2 = 27

5x = 25

x = 5

Explanation

Let's apply inverse proportion:

12 employees × 20 days = x employees × 10 days

x = 12 × 20/10 = 24

Explanation

1 hour's work of A = 2.5% (meaning A completes 2.5% of the work in 1 hour)

1 hour's work of B = 1.66% (meaning B completes 1.66% of the work in 1 hour)

Combined work rate of A and B in 1 hour = 2.5% + 1.66% = 4.16%

Time to complete the work = 100%/4.16% = 24 hours (since they work 8 hours a day, this is equivalent to 3 days)

So, A and B together can complete the work in 3 days, working 8 hours a day.

Explanation

Let daughter's age = x

Mother's age = 4x

Two years ago:

Daughter's age = x - 2

Mother's age = 4x - 2

4x - 2 = 5(x - 2)

4x - 2 = 5x - 10

x = 8

Explanation

Let's assume the son's age is x.

Man's age = 3x

Ten years ago:

Son's age = x - 10

Man's age = 3x - 10

Given:

3x - 10 = 5(x - 10)

3x - 10 = 5x - 50

40 = 2x

x = 20

Explanation

Total weight of empty drums = 1749 × 2 = 3498 kg

Total weight of wheat = 8032 - 3498 = 4534 kg

Explanation

Let x be the total number of pages.

x - 4/5x = 50

1/5x = 50

x = 50 × 5

x = 250