Question

A sum of money is to be divided among four persons in the ratio 9 : 11 : 13 : 15. Out of the four, one percent gets Rs. 200 more than the other and Rs. 100 less than another. What is the sum​

Answer 1

Answer:

let one person gets ₹ x.

therefore all persons will receive,

9x : 11x : 13x : 15x

As per the given instructions,

let us consider three persons with money 9x,11x and 13x

now, 9x gets 200 more than 11x and 11 x gets 100 less than 13x so difference between 13x and 9x is 300. so,

13 x - 9x = 300

4x = 300

x = 75

total money = 9x + 11x + 13x + 15x

= 9(75) + 11(75) + 13(75) + 15(75)

= 3600

the sum is ₹ 3600.

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