Problem: The average monthly income of P and Q is Tk. 5050. The average monthly income of Q and R is Tk. 6250 and the average monthly income of P and R is Tk. 5200. The monthly income of P is:
View all: MEGHNA BANK (MTO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: ans: Monthly income of P is 4,000 Tk.
Explanation:
Given, average income of P & Q = 5050 Tk.
Sum of their income = 5050 x 2 = 10,100 Tk.
P + Q = 10100………………………………. (i)
Average monthly income of Q & R = 6,250 Tk.Sum of their income = 6250 x 2 = 12,500 Tk.
Q + R = 12,500 …………………….(ii)
And average monthly income of P & R is 5,200 Tk
Sum of their income = 5,200 x 2 = 10,400 Tk.
P + R = 10,400 ……………………..(iii)
Subtracting equ” (i) from equ” (ii) we get
Q + R = 12,500
P + Q = 10.
100R – P = 2,400(Subtracting)
=>R = 2,400 + P
Putting the value of R in equ” (iii), we get
P + R = 10,400
=> P + 2,400 + P = 10,400
=> 2P = 8,000
P = 4,000
