Question

divide rupees 1380 amon raman,rohan and rakhi so that the amount raman receives,is 5 times as much as Rakhi's share and is 3times as much as Rihan's share​

Answer 1

Answer:

Step-by-step explanation:

Since, divide rupees 1380 amon raman, rohan and rakhi so that the amount raman receives, is 5 times as much as Rakhi's share and is 3 times as much as Rihan's share​, we have to follow the following steps:

Let share of Raman A, share of Rakhi B and share of Rohan C:

A = 5B = 3C = K

Thus, dividing each side by 5, and the by 3, we get:

⇒ B = $\frac{k}{5}$

⇒ C = $\frac{k}{3}$

Hence, K + C + B is equal to the amount of rupees, then

:

⇒ K + $\frac{k}{3}$ + $\frac{k}{5}$ = Rs 1380

⇔ (15K + 5K + 3K) / 15 = Rs 1380

⇔ 23K / 15 = Rs 1380

⇔ 23K = 20700

⇒ K = 20700 / 23 = 900

Then, we just need to conclude the calculation, which will give us the results we want. Hence:

A = K = Rs 900

B = $\frac{k}{5}$ = Rs 180

C = $\frac{k}{3}$ = Rs 300

Answer 2

we have to divide rupees 1380 among raman,rohan and rakhi so that the amount raman receives,is 5 times as much as Rakhi's share and is 3times as much as Rihan's share

Let say Raman Share = 15x Rs

we have taken 15x considering LCM of 3 and 5 as raman share is 5 & 3 times of Rakhi & Rihan respectively

5 × Rakhi share = Raman Share

=> 5 × Rakhi share = 15x

=> Rakhi Share = 3x Rs

3 × Rihan share = Raman Share

=> 3 × Rihan share = 15x

=> Rihan Share = 5x Rs

Total = 15x + 5x + 3x = 23x Rs

total amount given = 1380 Rs

23x = 1380

=>x = 1380/23

=> x = 60

Raman share = 15x = 15 × 60 = ₹ 900

Rakhi Share = 3x = 3 × 60 = ₹ 180

Rihan Share = 5x = 5 × 60 = ₹ 300