Question

Rs. 500 is to be divided among X, Y & Z in such a way that Rs. 16 more than 2/5th of X’s share, Rs. 70 less than 3/4th of Y’s share and Rs. 4 less than 3/5th of Z’s share are equal. Find the share of Z.

• A. Rs. 160
• B. Rs. 150
• C. Rs. 130
• D. Rs. 140

Answer 1

Answer:

D. Rs. 140

⇒ x + y + z = 500 ⇒ ((2x/5) + 16) = ((3y/4) - 70) = ((3z/5) - 4) = k x = (5/2)(k - 16) y = (4/3)(k + 70) z = (5/3)(k + 4) (5/2)(k - 16) + (4/3)(k + 70) + (5/3)(k + 4) = 500 On multiplying both sides by 6 ⇒ 15(k - 16) + 8(k + 70) + 10(k + 4) = 3000 ⇒ 33k -240 + 560 + 40 = 3000 ⇒ 33k = 2640 k = 80 share of Z.=(5/3)(k + 4) =5x84/3=140