Three retired persons invested Rs. 19500, Rs.27300 and Rs. 15600 respectively to set up a leather factory and after a year they had a profit of Rs.43200. If they will divided 2/3 Of this profit equally among themselves and of the remaining in the ratio of their capitals. Let us find the share of each one of them.
Answers
Answer:
Given :-
- Three retired persons invested Rs. 19500, Rs. 27300 and Rs. 15600 respectively to set up a leather factory and after a year they had a profit of Rs. 43200. If they will divided 2/3 of this profit equally among themselves and of the remaining in the ratio of their capitals.
Find out :-
- The share of each one of them.
Solution :-
2/3 rd of the profit will be distributed equally.
i.e., Rs. (43200 × 2/3)
= Rs. 28800 will be distributed as the principal.
Rest Rs. (43200 - 28800)
= Rs. 14400 will distributed as the equally.
Ratio of three retired person,
★ 19500 : 27300 : 15600
➙ 195 : 273 : 156
➙ 15 : 21 : 12
➙ 5 : 7 : 4
First person will get for Rs. 14400,
★ 5/5 + 7 + 4 × 14400
➪ 5/16 × 14400
➪ Rs. 4500
Second person will get for Rs. 14400,
★ 7/16 × 14400
➻ Rs. 6300
Third person will get for Rs. 14400,
★ 4/16 × 14400
➻ Rs. 3600
Total profit of the first person,
★ Rs. (28800 ÷ 3 + 4500)
➞ Rs. 9600 + 4500
➞ Rs. 14100
Total profit of the second person,
★ Rs. (28800 ÷ 3 + 6300)
➞ Rs. 9600 + 6300
➞ Rs. 15900
Total profit of the third person,
★ Rs. (28800 ÷ 3 + 3600)
➞ Rs. 9600 + 3600
➞ Rs. 13200
∴ The profit of share each of them Rs. 14100, Rs. 15900, and Rs. 13200 respectively.