A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Answers
Step-by-step explanation:
A invested = Rs.6500 × 6
=> Rs. 39,000
B invested = Rs.8400 × 5
=> Rs. 42,000
C invested = Rs.10000 × 3
=> Rs. 30,000
Ratio(investment),:
=> 39,000 : 42,000 : 30,000
=>™39:42:30
=> 13:14:10
A gets 5% of the total profit:
total profit = Rs.7400
Remaining balance:
=> 7400 - (5/100 × 7400) =
=> 7400 -370 =7030
C's share:
=> 7030 × (10/37)
=>1900
The share of C = Rs. 1900
Hence, the share of C = Rs. 1900
The share of C = Rs. 1,900.
Step-by-step explanation:
• Amount Invested by A = Rs. 6500 for 6 months
⇒ 6,500 × 6
⇒ 39,000
A's amount = Rs. 39,000
• Amount Invested by B = Rs. 8400 for 5 months
⇒ 8,400 × 5
⇒ 42,000
B's amount = Rs. 42,000
• Amount Invested by C = Rs. 10000 for 3 months
⇒ 10,000 × 3
⇒ 30,000
C's amount = Rs. 30,000
Ratio of investment =
Rs. 39,000 : Rs. 42,000 : Rs. 30,000
⇒ 39 : 42 : 30
⇒ 13 : 14 : 10
★ According to the Question :
A is a working partner and gets 5% of the total profit for the same (Given)
- A get = 5% of total profit
- Total Profit = Rs. 7,400
⇒ A get = 5 % of 7,400
⇒ 7,400 × (5/100)
⇒ 370
5% of total profit = 370
Balance = 7,400 - 370
⇒ 7,030
★ The share of C :
⇒ 7,030 × (10/37)
⇒ 1,900
The share of C = Rs. 1,900
Therefore, The share of C = Rs. 1,900.