What number, when increased by 8% of itself, equals 1944?
What number, when increased by 8% of itself, equals 1944? I have a new question: What number, when increased by 8% of itself, results in 1944? Thank you for your help!
1 Answers
The number is 1800. Eight percent of 1800 is 144; thus, 1800 + 144 = 1944.
To solve this, you can set up a proportion. If the original number is 100%, then 1944 would be 108% of the original (since it was increased by 8%).
1944-----108%
x-------100%
Solving the proportion gives you:
1944 * 100 = 108 * x
x = (1944 * 100) / 108
x = 194400 / 108
x = 1800
There are a variety of ways to solve percent problems, many of which can be very confusing. Fortunately, the proportion method will work for all three types of questions:
What number is 75% of 4?
3 is what percent of 4?
75% of what number is 3?
Using the proportion method, the setup is always the same:
Amby's Math Resources via kwout
A proportion shows one fraction with PART as the numerator and WHOLE as the denominator equal to another fraction with PERCENT as the numerator and 100 as the denominator.
To learn more about calculating percentages, visit Amby.com and Helpingwithmath.com.
Related Questions
Find the circumference of a circle with a radius of 5 inches. Please express your answer in terms of pi.
I need assistance with an Algebra 2 problem. The question states that the variable ( r ) varies directly with ( s ) and...
How tall is 77 inches when converted to feet?
In circle O, ST is a diameter. What is the value of x if (2x + 8) equals one of the following options: 22.0, 25.0, 25.4,...
I have the following mathematical expression: 2 log₂(2) + 2 log₂(6) - log₂(3x) = 3. Is the base indeed 2? I would appr...
I have a question regarding torque in a magnetism context. I understand that the equation τ = IABsin(θ) will be relevant...
Could you please help me find the cube roots of the complex number represented in polar form as 8(cos 216° + i sin 216°)...
Please find below the present and future values for different interest rates. Compounding and discounting occur annually...
A radio telescope features a parabolic surface, as illustrated below. Given that the telescope is 1 meter deep and 12 me...
What is the cube root of ( b^{27} )?