Explanation

Find how many man-days to complete the road:

70*35 = 2450 man-days

Let d = days required for 40 men to do it.

40d = 2450

d=402450​=61.25

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%

Explanation

Hour hand moves 225° (7.5 hours).

Minute hand moves 180° (30 minutes).

Angle between them: 45° (difference) + 30° (hour hand's extra move) = 75°.

OR

= 8h x 30 - 30 x 11/2

= 240 - 165

= 75°

Explanation

You can easily calculate 18 is 75 percent of what number by using any regular calculator, simply enter 18 × 100 ÷ 75 and you will get your answer which is 24.

Explanation

To find the number, you can set up an equation:

7% of x = 42

To solve for x, you can convert the percentage to a decimal by dividing by 100:

0.07x = 42

Then, divide both sides by 0.07:

x = 42 / 0.07

x = 600

So, the number whose 7% is 42 is 600!

Explanation

Given Data:

• 15 men can manufacture 27 baskets in 1 hour (60 minutes).
• We need to find how many baskets 45 men can manufacture in 40 minutes.

Step 1: Baskets manufactured by 1 man in 1 minute

In 1 hour (60 minutes), 15 men manufacture 27 baskets.

Therefore, the number of baskets manufactured by 1 man in 1 minute is:

27 baskets/15 men×60 minutes​ =2/900

$$=0.03\text{ baskets per man per minute}.$$

Step 2: Baskets manufactured by 45 men in 40 minutes

If 1 man manufactures 0.03 baskets per minute, then 45 men will manufacture in 40 minutes:

$$45\times 40\times 0.03=54\text{ baskets}.$$

Explanation

The sum of the exterior angles of any polygon is always 360 degrees. 

As for the interior angles, the sum of all the interior angles in a polygon is equal to: (n-2) x 180

Explanation

Total weight of (36 + 44) Students,

= (36 × 40 + 44 × 35) kg

= 2980 kg

Therefore average weight of the whole class,

= 298080 kg.

Therefore average weight = 37.25 kg.

Explanation

According to the statement :

So, when the day before yesterday was Saturday,

then Wednesday will be the day on the day after tomorrow.

Explanation

Two angles are called supplementary when their measures add up to 180 degrees.

Two angles are called complementary when their measures add up to 90 degrees.