Problem: Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s. At the end of the year, 20% profit was earned which was equal to Tk. 98,000. What was the amount invested by R?
View all: BANGLADESH BANK (IT) | WRITTEN QUESTION (MATH) SOLVE | 2016
Correct Answer: 2,10,000 Tk.
Explanation:
According to the Question,
20 % of Total Profit = 98,000
=>$\frac{20}{100}$ x Total Profit = 98,000
Total Profit = 4,90,000
Let, the capitals of P, Q and R be Tk. 5x, Tk. 6x and Tk. 6x respectively.
According to the Question,
(5x $\times$12)+(6x $\times$ 12) + (6x $\times$ 6) = 4,90,000 x 12
=> 168x = 4,90,000 x 12
x = 35,000
The capitals of R = Tk. 6x = 6 x 35000 = 2,10,000
