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A sum was divided among P, Q & R. R got double than P who got double than Q. If the difference between the shares of Q and R is 3675.00, then the sum in rupees is

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Question

A sum was divided among P, Q & R. R got double than P who got double than Q. If the difference between the shares of Q and R is 3675.00, then the sum in rupees is

Options

  • 4900

  • 8575

  • 11025

  • 7350

MCQ
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Solution

8575

Explanation:

R = 2P,  P = 2Q

R =2P = 4Q ............(Dividing by 4)

`"R"/4="P"/2="Q"/1`

Ratio in which sum is divided among R, P and Q= 4 : 2 : 1

Let sum be = 4x, 2x and x

According to the question,

4x − x = 3675.00

3x = 3675 = 1225

Total sum = 7x

= 7 × 1255 = 8575

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Ratio and Proportion (Entrance Exam)
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