Question

an amount of $7800 is divisible amount to Susan Pamela and Katie the sum of shares of Pamela and katie equals to thrice share of susan and Katie is equals to 2 third the share of pamela What is the share of Pranali?
1)$1170
2)$2025
3)$1950
4)$4680​

Answer 1

Answer:

I think the answer will be $2025

Answer 2

Given: Total amount = $7800

           Sum of shares given to Pamela and Katie equals to thrice share of  Susan

           Katie's share is equals to $\frac{2}{3}$ the share of Pamela

To Find : Amount of share of Pamela

Solution:

• Let the shares given to Susan, Pamela and Katie be $x, $y and $z respectively.
• Now we will make equations according to the question:

1. y + z = 3x
2. z = $\frac{2}{3}$ y

• Using these 3 equations we have to find y.

                  Substituting value of z from (2) in (1)

                           ⇒ y + $\frac{2}{3}$y = 3x

                           ⇒ $\frac{5y}{3}$ =3x

                           ⇒ x = $\frac{5y}{9}$                (3)

                      Also, x + y +z = 7800                (4)

Substituting value of z and x from (2) and (3) into (4)

                        ⇒$\frac{5y}{9}$ + y + $\frac{2y}{3}$ = 7800

                        ⇒$\frac{20y}{3}$ = 7800

                        ⇒y = $1170

Therefore, Pamela's share is option 1) $1170.