Virat decreased a number by 10%, and it became 54. To make it 72, Virat should increase the percentage by ?
Question
Virat decreased a number by 10%, and it became 54. To make it 72, Virat should increase the percentage by ?
Solution
Step 1: First, we need to find the original number before Virat decreased it by 10%. We know that 54 is 90% of the original number (because it was decreased by 10%). So, we can set up the equation 54 = 0.9 * original number.
Step 2: Solve the equation for the original number. The original number = 54 / 0.9 = 60.
Step 3: Now, we need to find out by what percentage 60 should be increased to become 72. The increase is 72 - 60 = 12.
Step 4: To find the percentage increase, we divide the increase by the original number and multiply by 100. So, the percentage increase = (12 / 60) * 100 = 20%.
So, to make the number 72, Virat should increase the original number by 20%.
Similar Questions
A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number?
A number is increased by 50% and then reduced to 50%, the result thus obtained is 780. Find the original number.10001040780880
The price of an item was increased by 10% and is now $77. Find the original price .
When 75% of a number is added to 75, then resultant number is the original number. The number is :(A) 150 (B) 300 (C) 100 (D) 45
An institute has 720 students. Today, 144 students are on leave. What percentage of the total students are present today?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.