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Question

Mathematics Question on Ratio and Proportion

Rs 770 have been divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share is

A

Rs 140

B

Rs 154

C

Rs 165

D

Rs 170

Answer

Rs 140

Explanation

Solution

Assume B and C together have = Rs.9xRs. 9x

Share of A in this is = 29×9x=Rs.2x\frac{2}{9} × 9x = Rs. 2x – (i)

From the question we know that A's amount = (7709x)(770 - 9x) – (ii)

From equation i and ii

11x=77011x = 770

x=77011x = \frac{770}{11}

x=70x = 70

So, A's Share will be 2 × 70 from equation (i)

= Rs.140Rs. 140

The correct option is (A): Rs.140