Explanation

Given data:

The seller sells 40% of his apples.
After selling, he still has 420 apples.
Concept/Formula:

The concept used to solve this problem is related to "percentage". The seller was left with 60% of his apples (100% - 40% = 60%) when he had 420 apples left.

Solution:

⇒ the 420 apples represent 60% of his original stock (since he sold 40%).

⇒ If 60% of the original stock equals 420 apples, then 1% can be calculated by dividing 420 by 60.

Hence, 1% = 420 ÷ 60 = 7 apples.

⇒ Now, to find the total original stock (100%), the amount per 1% is multiplied by 100.

Therefore, the original amount = 7 × 100 = 700 apples.

Therefore, originally, he had 700 apples.

Explanation

A hexagon is a polygon with 6 sides.

It has 6 angles, one at each vertex.

It also has 6 vertices.

Explanation

The formula for the sum of interior angles of a polygon with n sides is 180(n - 2).

It comes from dividing the polygon into (n - 2) triangles, each having 180° total.

Explanation

Total number of balls = 6 black + 8 white = 14 balls

Number of white balls = 8

Probability of drawing a white ball = Number of white balls / Total number of balls

= 8/14

= 4/7

So, the probability of drawing a white ball is 4/7.

Explanation

Days in which 40 cows eat 40 bags of husk = 40 days

Days in which 1 cow eat 40 bags of husk = 40 * 40 days

Days in which 1 cow eat 1 bag of husk = (40 * 40) / 40 bags

In a dairy form 40 cows eat 40 bags of husk in 40 days, In 40 days one cow will eat one bag of husk

Explanation

Men days

60 : 40

40 : x           

60/40= x/40,     40x= 60* 40

x= 40*60/40,      x= 60

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

Perimeter of Rhombus  = 2 (l +b)

                                         = 2 ( 6 +6 )

                                         = 2 (12)

                                         = 24

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

0.05 is equivalent to the fraction 1/20 because 0.05 is the same as 5/100, which simplifies to 1/20.