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. Calculate the monthly income of P.
Solution
Correct Answer: Option A
দেওয়া আছে,
P + Q/ 2 = 5050
⇒P + Q = 10100...........(i)
আবার, Q+R/2 = 6250
⇒Q+R = 12500...........(ii)
এবং, P+R/2 = 5200
⇒P+R = 10400 ...........(iii)
(i)+(ii)+(iii)⇒
2P+2Q+2R = 10100+12500+10400
⇒2(P+Q+R) = 33000
⇒ P+Q+R = 16500 .........(iv)
∴ (iv) - (ii) ⇒ P = 4000
P + Q/ 2 = 5050
⇒P + Q = 10100...........(i)
আবার, Q+R/2 = 6250
⇒Q+R = 12500...........(ii)
এবং, P+R/2 = 5200
⇒P+R = 10400 ...........(iii)
(i)+(ii)+(iii)⇒
2P+2Q+2R = 10100+12500+10400
⇒2(P+Q+R) = 33000
⇒ P+Q+R = 16500 .........(iv)
∴ (iv) - (ii) ⇒ P = 4000
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