Question

Rambo earn $500less than the sum of what mogili and shailesh in a month.if shailesh earn $1750 more in a month her monthly income would have been twice the monthly twice the monthly income of Sanchitas monthly income is $3875 and rambos monthly income$13500 .find the average monthly income of four of them

Answer 1

Given:

Rambo earn $500less than the sum of what Mogili and Shailesh in a month

If Shailesh earns $1750 more in a month then her monthly income would have been twice the monthly income of Sanchita's

Sanchita's monthly income is $3875

Rambo's monthly income $ 13500

To find:

Find the average monthly income of four of them

Solution:

Let's say,

"a" → Monthly income of Rambo = $13500

"b" → Monthly income of Mogili

"c" → Monthly income of Shailesh

"d" → Monthly income of Sanchita = $3875

We will write the possible equations as per the question:

(i) Rambo earns $500 less than the sum of the monthly income of Mogili & Shailesh:-

a = (b + c) - 500 . . . Equation 1

(ii) If Shailesh earns 1750 more then it would be equal to twice Sanchitas monthly income:-

c + 1750 = 2d

substituting d = $3875

⇒ c + 1750 = 2 × 3875

⇒ c + 1750 = 7750

⇒ c = 7750 - 1750

⇒ c = $ 6000

Now, substituting the value of c = $ 6000 and a = $ 13500 in equation 1, we get

a = (b + c) - 500

⇒ 13500 = (b + 6000) - 500

⇒ b + 6000 = 13500 + 500

⇒ b + 6000 = 14000

⇒ b = $ 8000

∴ Average monthly income of 4 of them is,

= $\frac{a\:+\:b\:+\:c\:+\:d}{4}$  . . . .  [using formula: $Average = \frac{Sum \:of\:observations}{No.\:of\: observations}$]

= $\frac{13500\:+\:8000\:+\:6000\:+\:3875}{4}$

= $\frac{31375}{4}$

= $\bold{\ \:7843.75}$

Thus, the average monthly income of four of them is $ 7843.75.

---------------------------------------------------------------------------------------

Also View:

The average monthly income of a person in a certain family of 5 members is rs 1000. What will be monthly average income of a one person in same family, the income of one person increased by rs 12000 per year?

brainly.in/question/10697

The average monthly income of p and q is rs 5000. The average monthly income of q and r is rs 6000 and the average monthly income of p and r is 4000. The monthly income of p is?

brainly.in/question/11675613

The average monthly income of P and Q is rs 5050, Q and R is 6250, and P and R is 5200. Find the monthly income of P ?

brainly.in/question/13902722

Answer 2

Concept:

Linear equation is the equation which contains one or more variables whose maximum degree is 1.

Linear equations in one variable can be directly evaluated by equating it to zero

Given:

Rambo's salary=$13500

sanchita's salary=$3875

Find:

Average of Rambo, Mogli, Shailesh,Sanchita monthly income

SOLUTION:

Let the earning of Rambo, Mogli, Shailesh,Sachitra be a,b,c,d

As per question,

a+500=b+c----------------------(i)

b+1750=2x3875

b=$6000

∵a=$13500

putting this in eq(i)

13500+500=6000+c

⇒c=$8000

Average of Rambo, Mogli, Shailesh,Sanchita =(a+b+c+d)/4

                                                                          =(13500+6000+8000+3875)/4

                                                                          =$7843.75

Therefore the Average of Rambo, Mogli, Shailesh,Sanchita incomes =$7843.75

#SPJ2