Question

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 be
1. Rs. 90, Rs. 60, Rs.120
2. Rs. 120, Rs. 60, Rs. 90
3. Rs. 60, Rs. 90, Rs. 120
4. None of the above

Answer 1

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