A, B and C investment in a partnership in the ratio of 5 : 6 : 8. The ratio of their profit is 5 : 3 : 12. Find the ratio of time for their investment ?

A, B and C investment in a partnership in the ratio of 5 : 6 : 8. The ratio of their profit is 5 : 3 : 12. Find the ratio of time for their investment ? Correct Answer 2 : 1 : 3

Let , A = 5x B = 6y C = 8z We know , 5x: 6y:8z = 5:3 : 12 ∴ 5x : 6y = 5: 3 ⇒5x9y = 53⇒xy = 5×63×5⇒xy = 21.'. x :y  =  2 : 1.'. x : y : z  =  2: 1 : 3 6y : 8z  =  3 :12 ⇒6y8z = 312⇒yz = 3×86×12⇒yz = 13.'. y : z  =  1: 3 
Bissoy MCQ

Related Questions

A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Tk. 4000 as profit, then their total profit is :
৪ঃ ৫= ১২ঃ x হলে x -এর মান কত হবে?
চারটি সমানুপাতিক রাশির প্রান্তীয় রাশি দুটির গুনফল ২০০। প্রথম রাশিঃ দ্বিতীয় রাশি= ১ঃ২, দ্বিতীয় রাশিঃচতুর্থ রাশি= ১ঃ৪। তৃতীয় রাশিটি কত?
কঃখ= ১ঃ২ এবং খঃগ = ৩ঃ৪ হলে কঃখঃগ কতো?
দুটি ক্রমিক জোড় সংখ্যার অনুপাত ১ঃ২। সংখ্যা দুটি নির্ণয় করুন।
দুইজন অংশীদারের মুনাফা বন্টন অনুপাত ২:১। তৃতীয়জনকে ১/৫ অংশ মুনাফা বণ্টনের চুক্তিতে তারা ব্যবসায়ের নতুন অংশীদার হিসেবে গ্রহণ করলে মুনাফা বণ্টনের নতুন অনুপাত কত? (The profit sharing ratio of two partners is 2:1. What is the new profit sharing ration of partnership business if they accept another partner with an agreed profit sharing ration of 1/5 of total business profit?)
A, B and C enter into partnership with investment in the ration of 5:7:8. If at the end of the year A's share of profit is Tk. 42360,how much is the total profit?
Three partners shared their profit in a business in the ratio 8 : 7 : 5. They had partnership for 7 months. 5 months and 14 months respectively. What has the ratio of theit investment?
Jahirul and Jalil agree to from a partnership. The partnership agreement requires that Jahirul invests Tk. 7000.00 less than one half of what Jalil invests. If the total investment is Tk. 1,25,000.00, how much does Jalil invest?
SR Enterprise (a partnership business co-owned by Rimon and Sumon) has earned a good amount of profit at the end of the year 1999. Out of the profit Sumon received TK. 2,500 as his share . What is the total amount of profit if in the beginning of that year both the partners have invested TK. 10,500 and Tk. 7,000 respectively ?