1.

One hundred Thirty Five toffees are distributed among P, Q, R and S in such a way that S gets half of what P gets. Q gets 4/5 of what P and S together. R gets 2/3 of what others are getting. What is the number of toffees with S?1). 152). 103). 124). 18

Answer»

LET The number of toffees with P be ‘x’

∴ S has x/2 toffees

And, Q has 4/5 × (P + S) =(4/5)(x + x/2) = 6x/5 toffees

∴ R has 2/3 ×(P + Q + S) = 2/3 × (x + x/2 + 6x/5) = 2/3 × (3x/2 + 6x/5) = 9x/5 toffees

∴ x + x/2 + 6x/5 + 9x/5 = 135

∴ (10x + 5x + 12x + 18x) = 1350

45X = 1350

∴ x = 30

∴ S will have 30/2 = 15 toffees


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