Question
Three fruit sellers P, Q and R have different quantities
of fruits to sell. P and Q together have fifteen more than half of quantity what P and R together have. Q’s quantity is one-fifth of the double of R’s quantity. Also, P has one-third of what R has. Find the quantity that Q has.Solution
Given, P + Q = 15 + ((P+R))/2 2P + 2Q = 30 + P + R P + 2Q = 30 + R Also given, Q = 2/5R So, P + 4/5R = 30 + R P = 30 + R/5 Now, P = R/3 R/3 = 30 + R/5 2/15R = 30 R = 225 P = 225/3 = 75 Q = 2/5 X 225 = 90
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