Question:medium
Three candidates "A", "B", "C" participated in an election. "A" gets 40% of the votes more than "B". "C" gets 20% votes more than "B". "A" also overtakes "C" by 4000 votes. If 90% voters voted and no invalid or illegal votes were cast, then what will be the number of voters in the voting list?
Three candidates "A", "B", "C" participated in an election. "A" gets 40% of the votes more than "B". "C" gets 20% votes more than "B". "A" also overtakes "C" by 4000 votes. If 90% voters voted and no invalid or illegal votes were cast, then what will be the number of voters in the voting list?
Show Hint
Write A and C as multiples of B, then use the given difference to solve for B.
Updated On: Jul 16, 2026
- 72000
- 80000
- 70000
- 78500
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Write the votes as a ratio.
$A : B : C = 1.4 : 1 : 1.2$. Multiply through by 5 to clear decimals: $A : B : C = 7 : 5 : 6$.
Step 2: Use the given gap between A and C in ratio terms.
In this ratio, $A - C$ corresponds to $7 - 6 = 1$ part. We are told this gap is 4000 votes, so 1 part $= 4000$.
Step 3: Find each candidate's votes and the total polled.
$A = 7 \times 4000 = 28000$, $B = 5 \times 4000 = 20000$, $C = 6 \times 4000 = 24000$. Total votes polled $= (7+5+6) \times 4000 = 18 \times 4000 = 72000$.
Step 4: Scale up to the full voter list.
This 72000 is 90% of the voting list, so the list size is $72000 \times \frac{10}{9} = 80000$.
Final Answer:
The ratio method confirms the voting list has 80000 voters. \[ \boxed{80000} \]
$A : B : C = 1.4 : 1 : 1.2$. Multiply through by 5 to clear decimals: $A : B : C = 7 : 5 : 6$.
Step 2: Use the given gap between A and C in ratio terms.
In this ratio, $A - C$ corresponds to $7 - 6 = 1$ part. We are told this gap is 4000 votes, so 1 part $= 4000$.
Step 3: Find each candidate's votes and the total polled.
$A = 7 \times 4000 = 28000$, $B = 5 \times 4000 = 20000$, $C = 6 \times 4000 = 24000$. Total votes polled $= (7+5+6) \times 4000 = 18 \times 4000 = 72000$.
Step 4: Scale up to the full voter list.
This 72000 is 90% of the voting list, so the list size is $72000 \times \frac{10}{9} = 80000$.
Final Answer:
The ratio method confirms the voting list has 80000 voters. \[ \boxed{80000} \]
Was this answer helpful?
0
Top Questions on Percentage
- A bought a phone from a store and paid \(\frac{1}{6}\) of the price using UPI, \(\frac{1}{3}\) of the price in cash, and the remaining balance a year later. He also paid 10% interest on the remaining balance after one year. What was the original price of the phone?
- Given \(A=x+y^2+z^3\). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?
- IBSAT
- Quantitative Aptitude
- Percentage
- The populations of two cities X and Y is equal. The population of city X increases in two successive years by 15% and 20% respectively and that of city Y increases successively by 10% and 30% respectively. If the difference in the population of two cities after 2 years is 55,980, then what was the total population of the two cities initially?
- IBSAT
- Quantitative Aptitude
- Percentage
- A trader buys 240 watches for ` 50,400 and he marks each of them at ` 320. He gives a discount of 15% on each watch and gives 1 watch free on a purchase of 5 watches. What is his minimum possible overall percentage of profit?
- IBSAT
- Quantitative Aptitude
- Percentage
- Want to practice more? Try solving extra ecology questions todayView All Questions
Questions Asked in SNAP exam
In the following figure, the smaller triangle represents teachers; the big triangle represents politicians; circle represents graduates and rectangle represents members of Parliament. Different regions are being represented by letters of English alphabet. On the basis of the above diagram, answer the following questions: 
- SNAP - 2024
- Venn Diagrams