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Kamal and her sister together have ₹2,100. On taking ₹300 from her sister, Kamal will have the same amount as what her sister had earlier. -

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Question

Kamal and her sister together have ₹2,100. On taking ₹300 from her sister, Kamal will have the same amount as what her sister had earlier. Find the ratio of the initial amounts that Kamal and her sister had.     

Options

  • 3:4

  • 1:1

  • 4:3

  • 5:9

MCQ

Solution

3:4

Explanation:

kamal (x) + her sister (y) = ₹2100 .......(i)

A.T.Q,

(x +300) = (y)

⇒ y − x = 300 .......(ii)

Solving these two equations,

x + y = ₹2100

y − x = ₹300 

⇒ 2y = 2400

∴ y = ₹1200

Therefore, x + 1200 = 2100

∴ x = ₹900

Ratio of kamal & her sister= 900 : 1200

= 3:4 

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Ratio and Proportion (Entrance Exam)
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