Priya distributed 444 Notebooks among her three sons P, Q and R such that P got 2/3rd less than Q and 60%

Priya distributed 444 Notebooks among her three sons P, Q and R such that P got 2/3rd less than Q and 60% more than R. How many books received by P?

a.            46

b.            66

c.             86

d.            96

e. 120

Sol:

Total notebooks = 444

P= (1 – 2/3) Q and therefore P = 1/3 Q

P = (100% + 60%) R and therefore P = 8/5 R

P + 3P + 5P/8 = 444

37P = 8 * 444

P= 96 Notebooks