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If Rs. 270 is divided among A, B and C such that A's portion is equal to \(\frac{2}{3}rd\) of B's portion and B's portion is equal to \(\frac{3}{4}th\) of C's portion, then the share of each of A, B and C will be1. Rs. 90, Rs. 60, Rs.1202. Rs. 120, Rs. 60, Rs. 903. Rs. 60, Rs. 90, Rs. 1204. None of the above |
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Answer» Correct Answer - Option 3 : Rs. 60, Rs. 90, Rs. 120 Given: Total amount to be divide = Rs.270 Calculations: Let the amount of C's portion be 'x' B's portion = 3/4 of c's portion ⇒ 3x/4 A's portion = 2/3 of B's portion ⇒ (2/3) × 3x/4 = x/2 Total amount = A + B + C ⇒ 270 = x + 3x/4 + x/2 ⇒ 270 = (4x + 3x + 2x)/4 ⇒ 270 = 9x/4 ⇒ 270 × 4 = 9x ⇒ 30 × 4 = x ⇒ x = 120 A's portion = x/2 ⇒ 120/2 = 60 B's portion = 3x/4 ⇒ 3 × 120/4 = 90 ∴ The required portion of money A, B, and C is 60, 90, and 120 respectively |
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