Two values exceed a third value by 20% and 50% respectively. What is the proportion between these two numbers :__________?
Show answer Hide answer
Answer: C. 4 : 5
Explanation
Assigning a baseline value of one hundred to the third value establishes clear comparative numbers. The first two values become one twenty and one fifty based on their percentage exceedance. Simplifying the ratio of one twenty to one fifty reduces to four to five in lowest terms. Percentage exceedance calculations use a reference base number usually set to one hundred. Ratio simplification involves dividing both terms by their greatest common divisor. Proportions express the relative scaling between multiple quantities sharing a common base.
Financial comparisons often use indexed baseline values to analyze relative price increases. Statistical reporting normalizes data using base values to simplify comparative analysis. Market research evaluates consumer preference proportions using standardized percentage metrics. Option A suggests two to five which fails to match the simplified proportion calculation. Option B proposes three to five which underestimates the first comparative numerical value. Option D offers six to seven which lacks any correct mathematical derivation from the values.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Two-fifths of one-third of three-sevenths of a certain quantity equals 15. What is 40% of that exact quantity?
Show answer Hide answer
Answer: E. None of these
Setting up the fractional product equation equates two-fifths times one-third times three-sevenths of x to fifteen. Simplifying the coefficient product gives two-thirty-fifths of x equal to fifteen, making x equal to 262...
Q2. Two figures exceed a third figure by 20% and 25% respectively. The proportion that the initial figure represents of the second figure is_________?
Show answer Hide answer
Answer: C. 96%
Letting the third baseline figure be one hundred allows the first two figures to be expressed as one hundred twenty and one hundred twenty-five. The problem asks for the proportion that the initial figure represents of t...
Q3. Two quantities fall short of a third quantity by 30% and 37% respectively. By what percentage is the second quantity less than the first?
Show answer Hide answer
Answer: C. 10%
Letting the third reference quantity be one hundred, the first quantity is seventy and the second is sixty three. The difference between the first and second quantities is seven units based on the established baseline va...
Q4. Two figures maintain a 3 : 5 proportion. Deducting 9 from each yields new figures in a 12 : 23 proportion. Identify the smaller value :________?
Show answer Hide answer
Answer: C. 49
Representing the two initial figures as 3x and 5x allows subtraction of 9 from each to form a new ratio. Setting the resulting algebraic fraction equal to twelve over twenty-three permits solving for the variable x. Solv...
Q5. A railway convoy measuring 240 m in length clears a telegraph pole in 24 seconds. How much duration will it need to traverse a 650 m long station platform?
Show answer Hide answer
Answer: B. 89 Sec
Dividing the train length of two40 meters by its pole clearance time of twenty-four seconds gives a speed of ten meters per second. To clear a platform completely, a train must travel a distance equal to the sum of its o...
Q6. Two valves, A and B, can fill a water reservoir in 12 and 15 minutes respectively. Both operate simultaneously, but valve A is shut off after 3 minutes. How much additional time is required to completely fill the reservoir?
Show answer Hide answer
Answer: C. 8 1/4 min
Valves A and B fill one twelfth and one fifteenth of the reservoir per minute respectively. Working together for three minutes, they fill a combined total of nine twentieths of the total reservoir capacity. The remaining...