A number when increased by 25% becomes equal to another number, which is 20%
A number when increased by 25% becomes equal to another number, which is 20% less than a third number. What is the ratio of the first number to the third number?
एक संख्या में 25% की वृद्धि करने पर वह दूसरी संख्या के बराबर हो जाती है, जो कि तीसरी संख्या से 20% कम है। पहली संख्या और तीसरी संख्या का अनुपात क्या है?
Detailed Solution & Logic
Correct Answer:
16:25
Let the first number be $x$, second number be $y$, and third number be $z$.
First number increased by 25% becomes second number:
$y=\frac{5x}{4}$
Second number is 20% less than the third number:
$y=\frac{4z}{5}$
Equating both:
$\frac{5x}{4}=\frac{4z}{5}$
$25x=16z$
Therefore,
x:z=16:25
Required ratio = 16 : 25
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