Two numbers are respectively 20% and 50% more than a third number. The ratio of two numbers is :(a) 1 : 5 (b) 3 : 5 (c) 4 : 5 (d) 6 : 7Options :abcd
Question
Two numbers are respectively 20% and 50% more than a third number. The ratio of two numbers is :(a) 1 : 5 (b) 3 : 5 (c) 4 : 5 (d) 6 : 7Options :abcd
Solution
Let's denote the third number as x.
The first number is 20% more than x, which means it is 1.2x. The second number is 50% more than x, which means it is 1.5x.
The ratio of the two numbers is therefore 1.2x : 1.5x.
We can simplify this ratio by dividing both sides by x, which gives us 1.2 : 1.5.
Further simplifying the ratio by multiplying both sides by 10 to remove the decimal, we get 12 : 15.
This ratio can be simplified further by dividing both sides by the greatest common divisor, which is 3.
So, the simplified ratio is 4 : 5.
Therefore, the answer is (c) 4 : 5.
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