If the average (arithmetic mean) of p, q and r is 50 and the average

Question

If the average (arithmetic mean) of p, q and r is 50 and the average ( arithmetic mean) of q, r and s is 60, what is the value of s – p?

A. 60
B. 50
C. 40
D. 30
E. 10

exc4libur · Answer

Average=\frac{Sum}{Terms}

\frac{(q+r+s)}{3}=60 ,  q+r+s=180

\frac{(p+q+r)}{3}=50 ,  p+q+r=150

(q+r+s)-(p+q+r)=180-150 ,  s-p=30 .

(D) is the answer.

dontgiveup2020 · Answer

(p + q + r)/3 = 50
Hence, p + q + r = 150  Equation 1

(q + r + s)/3 = 60
Hence, q + r + s = 180  Equation 2

Subtract  Equation 1  from  Equation 2 :
(q + r + s) - (p + q + r) = 180 - 150
s - r = 30 (Answer D)

AkshdeepS · Answer

(p + q + r)/3 = 50

(p + q + r) = 150 -------(I)

(q + r + s)/3 = 60

q +r + s = 180 -----(II)

Subtract I from II,

s - p = 30

(D)

Abhishek009 · Answer

p + q + r = 150 
 q + r + s = 180

Now,  (q + r + s) - (p + q + r) = 180 - 150

Or,  (s - p) = 30 , Answer must be (D)

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