In a ratio of four numbers, the first two numbers are 15% and 20% more

1.	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?
Answer» 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.

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?

Answer»

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 :-

→ 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.)