Question : A certain amount of money is divided among x, y, and z. If x receives 25% more than y and y receives 25% less than z, then x : y : z is equal to:
Option 1: 14 : 12 : 13
Option 2: 15 : 12 : 16
Option 3: 10 : 9 : 12
Option 4: 12 : 10 : 11
Correct Answer: 15 : 12 : 16
Solution :
Given:
x receives 25% more than y and y receives 25% less than z.
Let the amount received by y = 100
The amount received by x = 125
The amount received by z = $\frac{100×100}{75}=\frac{400}{3}$
$\therefore$ Required ratio = $125:100:\frac{400}{3}=15:12:16$
Hence, the correct answer is 15 : 12 : 16.
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