Question

an incentive amount of rs 58000 was divided among three sales persons (lovleen, ankita, and arun). lovleen got 80 percentage of what ankita got and 25 percentage of what arun got. find the amount that each sales person got. also find what percentage of the incentive amount that ankita received.

Answer 1

lovleen=58000*80/100=46400

arun=58000*25/100=14500

46400+14500=60900

Ankita=60900-58000=2900

there is 2900 money recieved for ankita

Answer 2

Answer:

get is:

x + y + z = 58000

lovleen got 80% of what ankita got.

this translates to x = .8y

lovleen got 25% of what arun got.

this translates to x = .25z

since you have x = .8y and also x = .25z, this means that:

.8y = .25z

if you solve for y in this equation, you get:

y = .25z/.8 which becomes:

y = .3125z

you now have some equalities that will allow you to make your original equation of:

x + y + z = 58000

in terms of one of the variables only.

that variable will be z.

your equalities are:

x = .25z

y = .3125z

you can now express your original equation in terms of z by replacing x with .25z and by replacing y with .3125z to get:

.25z + .3125z + z = 58000

you can now solve for z.

combine like terms on the left side of the equation to get:

1.5625z = 58000

divide both sides of the equation by 1.5625 to get:

z = 58000 / 1.5625 = 37120

now that you know the value of z, you can easily find the values for x and y.

you already know that x = .25z, so x must be equal to 9280.

you already know that y = .3125z, so y must be equal to 11600.

your answers are:

x = 9280

y = 11600

z = 37120

now all you have to do is confirm the solutions are correct.

x + y + z = 58000 becomes:

9280 + 11600 + 37120 = 58000 which becomesL

58000 = 58000 so that part is correct.

x must be 80% of y.

9280 / 11600 = .8 which is 80% so that part is correct.

x must be 25% of z.

9280 / 37120 = .25 which is 25% so that part is correct.

all parts are correct so the solution is good.

you could also have solved this by treating it as 3 equations that needed to be solved simultaneously.

the first equation would be:

x + y + z = 58000

the second equation would be x = .8y which you would translate to x - .8y = 0

the third equation would be x = .25z which you would translate to x - .25z = 0

your three equations would be:

x + y + z = 58000

x - .8y = 0

x - .25z = 0

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