Explanation

Given:

• Speed from A to B = 40 km/h

• Speed from B to A = 40 km/h + 50% of 40 km/h = 40 + 20 = 60 km/h

Find:

Average speed for the whole journey (both ways).

Formula for average speed when distance is the same but speeds differ:

Plug in values:

=4800/100

=48 km/h

Explanation

Assimilation, in anthropology and sociology, is the process whereby individuals or groups of differing ethnic heritage are absorbed into the dominant culture of a society

Explanation

Let's break it down:

A = x% of y = (x/100)y = xy/100

B = y% of x = (y/100)x = yx/100

Since xy = yx, A = B.

Explanation

It has a total area of 7,688,287 km2 (2,968,464 sq mi),

It is the sixth-largest country in the world and the largest in Oceania.

Additional information 

Australia Capital is Canberra.

Australia Currency is Australian Dollar.

Australia official language is English.

Australia national game is Cricket.

Australia located is in Continent Oceania.

Australia Primary Religion is Christianity (But Secular Country).

Australia Head of Govt. is Prime Minister  - Anthony Albanese.

Australia Parliament called Federal Parliament.

Australia flas has three colours.

Australia's highest-ranking military: Australian Active Service Medal

Explanation

We are given:

24 men complete the work in 16 days → 1 man's 1-day work = 1/24×16=1/38432 women complete the work in 24 days → 1 woman's 1-day work = 1/32×24=1/768 

16 men and 16 women work for 12 days

Step 1: Work done by 16 men and 16 women in 12 days

Work done by 16 men in 1 day = 16×1/384=16/384=1/24

Work done by 16 women in 1 day = 16×1/768=16/768=1/48

Total work done in 1 day = 1/24+1/48=2/48+1/48=3/48=1/16

Total work done in 12 days = 12×1/16=12/16=¾

Step 2: Work remaining

Total work = 1

Work done = ¾

Work remaining = 1−3/4=1/4

Step 3: Additional men required

The remaining work must be completed in 2 days.

Let x be the number of additional men needed.

Work done by (16 + x) men in 1 day = (16+x)×1384(16 + x) 

Work done in 2 days = 2×(16+x)×1384=142

Solving for x:

(16+x)×2/384=¼

16+x=1/4×384/2=384/8=48

x=48−16=32

The closest option is 36 men

Explanation

Explanation

Riqaab is derived from the Arabic word raqabah, which means "neck." 

Freeing a slave or captive is therefore seen as breaking the bondage of the "neck," symbolically liberating the individual

Explanation

Asiya, the wife of Pharaoh, is honored in Islam for her strong faith in Allah despite her husband's tyranny.

She protected baby Musa (AS).

She is considered one of the four greatest women in Islam.

Explanation

Lithuania Capital is Vilnius.

Lithuania Currency is Lithuanian Litas.

Lithuania official language is Lithuanian.

Lithuania located is in Continent Europe.

Lithuania Primary Religion is Christianity.

Lithuania Head of Govt. is Prime Minister – Ingrida Šimonytė.

Lithuania Parliament called Seimas.

Explanation

Step 1: Let the marked price be Rs. x.

Since items are sold at 10% less than the marked price,
The selling price (SP) = $x-10\%\text{ of }x=0.9x$

Step 2: Desired profit = 10% on cost

Cost price (CP) = Rs 90
Profit = 10% of 90 = Rs 9
So, desired Selling Price (SP) =Rs 90 + Rs9 = Rs 99

Step 3: Set up the equation

We already said that the selling price is 0.9x, so:

$$0.9x = 99$$

Step 4: Solve for x

$$x = frac{99}{0.9} = 110$$