Kirk, Spock, McCoy subscribe Rs. 50,000 for a business. Kirk subscribes Rs. 4000 more than Spock and Spock Rs. 5000 more than McCoy. Out of a total profit of Rs. 35,000, Kirk receives?
Question
Kirk, Spock, McCoy subscribe Rs. 50,000 for a business. Kirk subscribes Rs. 4000 more than Spock and Spock Rs. 5000 more than McCoy. Out of a total profit of Rs. 35,000, Kirk receives?
Solution
Step 1: Determine the amount each person has subscribed.
Let's assume the amount McCoy subscribed is X.
According to the problem, Spock subscribed Rs. 5000 more than McCoy. So, Spock's subscription is X + Rs. 5000.
Similarly, Kirk subscribed Rs. 4000 more than Spock. So, Kirk's subscription is (X + Rs. 5000) + Rs. 4000 = X + Rs. 9000.
The total amount they all subscribed is Rs. 50,000. So, we can set up the following equation:
X (McCoy) + X + Rs. 5000 (Spock) + X + Rs. 9000 (Kirk) = Rs. 50,000
Solving this equation gives:
3X + Rs. 14,000 = Rs. 50,000
3X = Rs. 50,000 - Rs. 14,000
3X = Rs. 36,000
X = Rs. 36,000 / 3
X = Rs. 12,000
So, McCoy subscribed Rs. 12,000, Spock subscribed Rs. 17,000 (Rs. 12,000 + Rs. 5,000), and Kirk subscribed Rs. 21,000 (Rs. 17,000 + Rs. 4,000).
Step 2: Determine Kirk's share of the profit.
The profit is divided in the ratio of their investments. So, Kirk's share of the profit is:
(Kirk's subscription / Total subscription) * Total profit
= (Rs. 21,000 / Rs. 50,000) * Rs. 35,000
= Rs. 14,700
So, Kirk receives Rs. 14,700 from the total profit.
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