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Mathematics

A sum of ₹ 6,400 is divided among three workers in the ratio 35:2:53\dfrac{3}{5} : 2 : \dfrac{5}{3}. The share of the second worker is :

  1. ₹ 2,560

  2. ₹ 3,000

  3. ₹ 3,200

  4. ₹ 3,840

Ratio Proportion

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Answer

Wages ₹ 6,400 divided into 3 workers in ratio = 35:2:53\dfrac{3}{5} : 2 : \dfrac{5}{3}

L.C.M of 5 and 3 is 15

35×15:15×2:53×15\Rightarrow \dfrac{3}{5} \times 15:15 \times 2: \dfrac{5}{3} \times 15

⇒ 9 : 30 : 25

Sum of the ratio = 9 + 30 + 25 = 64

The share of the second worker = 3064×6400\dfrac{30}{64} \times 6400

= 30 × 100

= ₹ 3,000.

Hence, option 2 is the correct option.

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