Question

Divide ₹1380 among Raman and Rakhi so that the amount Raman receives,is 5 times as much as Rakhi's share and is 3 times as much as Rohan's share

Answer 1

Answer: The share of  Raman = 900,

Rakhi = 180,

Rohan = 300

Step-by-step explanation:

Let the share of Raman = x rupees,

Thus, according to the question,

The share of Rakhi = x/5

The share of Rohan = x/3

Also, If the total money = `1380 rupees,

⇒ $x + \frac{x}{5}+\frac{x}{3} = 1380$

⇒ $\frac{15x+3x+5x}{15}=1380$

⇒ $\frac{23x}{15}=1380$

⇒ $23x=20700$

⇒ $x=900$

Hence, the share of Raman = x = 900 rupees

The share of Rakhi = x/5 = 900/5 = 180 rupees,

The share of Rohan = x/3 = 900/3 = 300 rupees