Question 54

Alka, Sudha and Shailja had amounts in the ratio of 3:4:5 respectively. Each of them got an additional amount of Rs. 8,000 and the ratio of amounts became 4:5:6 respectively. What was the amount Shailja had originally ?

Solution

Let the amounts of Alka, Sudha and Shailja be 3x,4x and 5x respectively.

When 8000 is added, let their amounts be 4k,5k and 6k respectively.

3x + 8000=4k....(1)

4x + 8000=5k....(2)

5x + 8000=6k....(3)

On solving we get x=8000 and k=8000

Thus, Shailja's amount=5 x 8000=Rs.40,000

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