In a ratio of four numbers, the first two numbers are 15% and 20% more than the third number. The fourth number is 5% less than the third number. What the ratio of the first, second and fourth number?
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Solution :-
Let us Assume that, the third number is 100.
Than,
Given that, the first two numbers are 15% and 20% more than the third number.
So,
→ First Number = 100 + 15% of 100 = 100 + (15 * 100/100) = 100 + 15 = 115 .
→ Second Number = 100 + 20% of 100 = 100 + (20 * 100/100) = 100 + 20 = 120 .
Also, The fourth number is 5% less than the third number.
Than,
→ Fourth Number = 100 - 5% of 100 = 100 - (5 * 100/100) = 100 - 5 = 95 .
To Find :-
- The ratio of the first, second and fourth number .
→ First Number : second Number : Fourth Number
Putting values we get :-
→ Required Ratio = 115 : 120 : 95
→ Required Ratio = 5 * 23 : 5 * 24 : 5 * 19
5 will be cancel ,
→ Required Ratio = 23 : 24 : 19 (Ans.)
Hence, the ratio of first, second and fourth number is 23 : 24 : 19.
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