If 125% of x is 80 and x is n % of 400, what is the value of n?
Correct answer: C. 16
- A. 12
- B. 14
- C. 16
- D. 18
Explanation
To solve this problem, we start by calculating the value of x from the equation 125% of x = 80. Converting 125% to a decimal gives 1.25, so the equation becomes 1.25x = 80. Solving for x, we divide both sides by 1.25 to get x = 64.Next, we use the information that x is n% of 400. This can be expressed as x = (n/100) * 400. Substituting the value of x (64) into the equation, we have 64 = (n/100) * 400. Solving for n, we divide both sides by 400 to get 0.16 = n/100. Finally, multiplying both sides by 100 gives n = 16.Therefore, the correct answer is Option C (16), as this is the percentage that x (64) represents of 400. The other options are incorrect because they result from miscalculations of the percentage relationship.
Last updated
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
505 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
If 2m=4x and 2w = 8x, what is m in terms of w?
The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?
If Lines AB||CD, then e = ?
Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?