Shiva,Dilip and Sandeep started a business.It was agreed that shiva would invest Rs.8000 for 8 months,Dilip would invest Rs.9000 for 6 months and sandeep would invest Rs.11000 for 4 months.Shiva wants to be a working member for which he was to receive 10% of the profits.The profit earned was Rs.12000.What is the share of Dilip in the profit?Rs.5000Rs.2600Rs.3600Rs.4000
Question
Shiva,Dilip and Sandeep started a business.It was agreed that shiva would invest Rs.8000 for 8 months,Dilip would invest Rs.9000 for 6 months and sandeep would invest Rs.11000 for 4 months.Shiva wants to be a working member for which he was to receive 10% of the profits.The profit earned was Rs.12000.What is the share of Dilip in the profit?Rs.5000Rs.2600Rs.3600Rs.4000
Solution 1
To solve this problem, we first need to calculate the ratio of their investments.
The ratio of their investments would be calculated as follows:
Shiva's investment: Rs.8000 for 8 months = Rs.64000 Dilip's investment: Rs.9000 for 6 months = Rs.54000 Sandeep's investment: Rs.11000 for 4 months = Rs.44000
So, the ratio of their investments is 64:54:44.
Next, we need to calculate the total profit after Shiva takes his 10% for being a working member.
10% of Rs.12000 = Rs.1200
So, the remaining profit is Rs.12000 - Rs.1200 = Rs.10800
Now, we can calculate Dilip's share based on the ratio of their investments.
The total ratio is 64 + 54 + 44 = 162
So, Dilip's share of the profit is (54/162) * Rs.10800 = Rs.3600
Therefore, Dilip's share in the profit is Rs.3600.
Solution 2
To solve this problem, we first need to calculate the ratio of their investments.
The ratio of their investments would be calculated as follows:
Shiva's investment: Rs.8000 for 8 months = Rs.64000 Dilip's investment: Rs.9000 for 6 months = Rs.54000 Sandeep's investment: Rs.11000 for 4 months = Rs.44000
So, the ratio of their investments is 64:54:44.
Next, we need to calculate the total profit after Shiva takes his 10% for being a working member.
10% of Rs.12000 = Rs.1200
So, the remaining profit is Rs.12000 - Rs.1200 = Rs.10800
Now, we can distribute this remaining profit according to the ratio of their investments.
The total parts of the ratio are 64 + 54 + 44 = 162
So, Dilip's share of the profit would be (54/162) * Rs.10800 = Rs.3600
Therefore, Dilip's share of the profit is Rs.3600.
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