Question

Suman and Chavi started a business by investing Rs. 2660 and Rs. 2450 respectively every month. Chavi got Rs. 200 per month for her work. After 5 months, Suman added Rs. 340 more every month and Chavi left. If after a year they get a total profit of Rs. 18,850, then what total amount did Chavi get?

Answer 1

Hint: Find the ratio of the investments made by Chavi and Suman. Then find the total profit that is divided among the two persons. Then find the total amount Chavi got.

Complete step by step answer:

Suman invests Rs. 2660 every month for 5 months and then adds an extra Rs. 340 making a total sum of Rs. 2300 for the next 7 months.
Chavi invests Rs. 2450 for 5 months and then leaves.
The ratio of the investment made by Suman to that of Chavi is given as follows:
Ratio = \[2300 \times 7 + 2660 \times 5:2450 \times 5\]
Dividing both sides by 7, we have:
Ratio = \[2300 + 380 \times 5:350 \times 5\]
Dividing both sides by 50, we have:
Ratio = \[46 + 38:35\]
Simplifying, we have:
Ratio = \[84:35\]
The total profit is Rs. 18850 but Chavi is doing work and is paid Rs. 200 per month for 5 months. Hence, the profit that is sharable is given as follows:
Profit = \[18850 - 5 \times 200\]
Simplifying, we have:
Profit = \[18850 - 1000\]
Profit = \[17850\]
Now, this is divided among Suman and Chavi in the ratio 84:35, the amount that Chavi gets is given as follows:
Chavi’s Profit = \[\dfrac{{35}}{{84 + 35}} \times 17850\]
Simplifying, we have:
Chavi’s Profit = \[\dfrac{{35}}{{119}} \times 17850\]
Chavi’s Profit = 5250
Total profit of Chavi = 5250 +1000
Total profit of Chavi = Rs. 6250
Hence, the total profit amount of Chavi is Rs. 6250.

Note: You need to subtract the amount paid for work by Chavi because it is included in total profit but it is actually like paying an employee and hence, it is not included in the shares. Again, when you calculate Chavi’s profit, you need to add that salary amount.