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Winner's share among three candidates

Three candidates polled 1,136, 7,636 and 11,628 votes respectively. What percentage of the total votes did the winner get?

Show the answer and the worked solution

Correct answer: C.

57%

Worked solution

  1. Total = 1,136 + 7,636 + 11,628 = 20,400.
  2. Winner's share = 11,628 / 20,400 = 0.57 = 57%.

Answer: 57%.

The idea

Share questions are one division. Sum the parts carefully — an arithmetic slip in the total quietly moves the answer by whole percentage points.

Shortcut. The winner's 11,628 beats the other two combined (8,772), so the share tops 50%; 60% would need 12,240, so 57% is the only fit.

Common trap. 60% — rounding 11,628 up to 12,000 and the total down to 20,000 before dividing, which inflates the share.

Winner's share among three candidates — Aptitude Question

Winner's share among three candidates: Three candidates polled 1,136, 7,636 and 11,628 votes respectively. Answer and worked solution on CodeKairo.

Question

Three candidates polled 1,136, 7,636 and 11,628 votes respectively. What percentage of the total votes did the winner get?

Options

  1. 47%
  2. 51%
  3. 57%
  4. 60%
Show the answer and the worked solution

Correct answer: C. 57%

Worked solution

  1. Total = 1,136 + 7,636 + 11,628 = 20,400.
  2. Winner's share = 11,628 / 20,400 = 0.57 = 57%.

Answer: 57%.

The idea

Share questions are one division. Sum the parts carefully — an arithmetic slip in the total quietly moves the answer by whole percentage points.

Shortcut. The winner's 11,628 beats the other two combined (8,772), so the share tops 50%; 60% would need 12,240, so 57% is the only fit.

Common trap. 60% — rounding 11,628 up to 12,000 and the total down to 20,000 before dividing, which inflates the share.

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