Question

Aegon Targaryen, Roose Bolton, and Catelyn Stark enter into a partnership. Aegon contributes one-third of the
whole capital while Roose contributes as much as Aegon and Catelyn together contribute. If the profit at the end
of the year is Rs. 84000, how much would each receive?
Rs. 28000, Rs. 42000, Rs. 10000
Rs. 28000. Rs. 42000, Rs. 14000
Rs. 28000, Rs. 14000, Rs. 42000
Rs. 24000, Rs. 20000, Rs. 40000​

Answer 1

Answer:

Option B:

Aegon Targaryen will receive Rs. 28,000

Roose Bolton will receive Rs. 42,000

And Catelyn Stark will receive Rs. 14,000

Step-by-step explanation:

Aegon Targaryen contributed one-third of the whole capital.

Let's assume Catelyn Stark contributed x part of the whole capital.

According to the problem, Roose Bolton (contributed one-third + x) part of the whole capital.

Therefore, $\frac{1}{3} + x + \frac{1}{3} + x = 1$

$=>1 + 3x + 1 + 3x = 3$  [multiplying both sides by 3]

$=>6x = 3 - 2 = 1$

∴ $x = \frac{1}{6}$

∴ Roose Bolton contributed $(\frac{1}{6} + \frac{1}{3})$ of the whole capital = $\frac{1}{2}$ of the whole capital

∴ Aegon Targaryen will receive $\frac{1}{3} of Rs. 84,000$ = Rs. 28,000

Roose Bolton will receive $\frac{1}{2} of Rs. 84,000$ = Rs. 42,000

And Catelyn Stark will receive $\frac{1}{6} of Rs. 84,000$ = Rs. 14,000