Question

Each month reema spends 1/3 of her salary , 3/8 of the remainder and shares the rest of salary among her brother , mother and sister . What fraction of her salary does each of them receive

Answer 1

Let her total money salary be 1

Money she spends = 1/3

Remaining salary = 1 - 1/3 = 2/3

Money she saves = 3/8 of remainder = 3/8 * 2/3 = 1/4

Money she spends on her family members = 1 - ( 1/3 + 1/4)

= 1 - ( 4/12 + 3/12)

= 1 - 7/12 = 5/12

So, 5/12 of her salary is spent evenly among her 3 family members

So, each of them gets 1/3 of 5/12 of her salary

So, our fraction is

1/3 * 5/12

Fraction= 5/36

Answer 2

Hello Dear.

Here is the answer---

Let the salary of the Reema be Rs.x

Money Spend by Reema in a month = (1/3) × x
 = x/3

Remaining Money = x - x/3
= (3x - x)/3
= Rs. 2x/3

Money which Reema Saves = 3/8 × 2x/3
= Rs. x/4

According to the Question, Reema also spends the money on her Sister, Mother and Brother.

∴ Money spend by her on her sister, Brother and Mother = x - x/4 - x/3
 = $\frac{12x - 3x - 4x}{12}$
= Rs. 5x/12


For the Fraction,

$\frac{Fraction = Money spend by her on the Family Member}{Total Numbers of Members}$

∴ Fraction = $\frac{ \frac{5x}{12} }{3}$
⇒ Fraction = $\frac{5x}{36}$

Thus, 5/36th part of the Salary of the Reema is shared between mother, sister and Brother.


Hope it helps.