Question

If 16% of 250 + 115% of 480 = 10% of N, then what is the value of N?

• A. 5220
• B. 5880
• C. 5920
• D. 4980

Hint:

When solving for percentages, first convert the percentages to fractions, then solve the equation step by step.

Answer 1

The Correct Option is C

We are given the equation: \[ 16% \times 250 + 115% \times 480 = 10% \times N. \] Simplifying the left side: \[ 16% \times 250 = \frac{16}{100} \times 250 = 40, \quad 115% \times 480 = \frac{115}{100} \times 480 = 552. \] Thus, the equation becomes: \[ 40 + 552 = 10% \times N \quad \Rightarrow \quad 592 = 10% \times N. \] So, \[ 10% \times N = 592 \quad \Rightarrow \quad N = \frac{592}{0.10} = 5920. \] Thus, the value of \( N \) is 5920, which corresponds to option (3).