There partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (20 : 49 : 64)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solutioin:
Let their investments be tk. x for 14 months,
tk. y for 8 months and tk. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 .
⇒ 98x = 40y
⇒ y = 49x/20
And, 14x/7z = 5/8
⇒ 112x = 35z
⇒ z = 112x/35 = 16x/5
So, x : y : z = x : 49x/20 : 16x/5
= 20 : 49 : 64
