Problem: Karim and Rahim have equal amount of money. Rumana has half of Rahim’s money and Amena has half of Rumana’s money. If you add one Taka with all the money they have, it will be Tk. 100. How much money Rahim has?
View all: STANDARD BANK OFFICER (ATO) | WRITTEN QUESTION (MATH) SOLVE | 2016
Correct Answer: ans: Rahim has 36 Tk.
Explanation:
Let, the amount of Rahim be Tk. x
The amount of Karim be Tk. x
Rumana has = ( x $\times\frac{1}{2}$) = $\frac{x}{2}$
Amena has = $\frac{x}{2}\times \frac{1}{2}$ = $\frac{x}{4}$
According to the question,
x+x+$\frac{x}{2}$+$\frac{x}{4}$+1 = 100
=> 2x+$\frac{x}{2}$+$\frac{x}{4}$ = 100-1
=> $\frac{8x+2x+x}{4}$ = 99
=> 11x = 99$\times$4
=> x = $\frac{99\times 4}{11}$
x = 36
