The difference between 90% and 75% of a number is 225 .Then find out 82% of the number ?
Answers
Answer:
1230
Step-by-step explanation:
let the number be x.
by given condition,
90% * x - 75%*x = 225
9x/10 - 3x/4 = 225
(18x - 15x) / 20 = 225
3x = 225 * 20
3x = 4500
x = 1500
82% of x = 82/100 * x
= 82 / 100 * 1500
= 82 * 15
= 1230
Given,
For a certain number;
The difference between 90% and 75% of that number = 225
To find,
The value of 82% of that number.
Solution,
We can simply solve this mathematical problem using the following process:
Let us assume that the certain number is x.
Now, according to the question;
The difference between 90% and 75% of that number = 225
=> (90% of x) - (75% of X) = 225
=> (90/100 × x) - (75/100 × x) = 225
=> x/100 × (90-75) = 225
=> x/100 × 15 = 225
=> x = (225 × 100)/15
=> x = 1500
=> the certain number = 1500
Now,
The value of 82% of x
= 82/100 × 1500
= 1230
Hence, the value of 82% of the given certain number is equal to 1230.