Question
The average of three numbers P, Q and R is 1600. R is
75% more than P. The ratio of P and Q is 4:5 respectively. If R is 25% less than S, then find out the number ‘S’.Solution
The average of three numbers P, Q and R is 1600. P+Q+R = 1600x3 P+Q+R = 4800 Eq.(i) The ratio of P and Q is 4:5 respectively. Let’s assume P and Q are ‘4y‘ and ‘5y‘ respectively. R is 75% more than P. R = 175% of P R = 175% of 4y R = 1.75 x 4y R = 7y Put the values of ‘P’, ‘Q’ and ‘R’ in the Eq.(i). 4y+5y+7y = 4800 16y = 4800 y = 300 If R is 25% less than S. R = (100-25)% of S 7y = 75% of S 7y = 0.75xS Put the value of ‘y’ in the above equation. 7x300 = 0.75xS 2100 = 0.75xS 2100/0.75 = S S = 2800
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