In a mayoral election, candidate X received $\frac{1}{3}$ more votes than candidate Y, and candidate Y received $\frac{3}{4}$ fewer votes than candidate Z. If candidate Z received 24,000 votes, how many votes did candidate X receive?

Created: 3 months ago | Updated: 3 months ago

Job Solution Modhumoti Bank Ltd Modhumoti Bank Ltd. || Probationary Officer (2019) || 2019 গণিত

প্রশ্নে বলা হচ্ছে যে, মেয়র নির্বাচনে X প্রার্থী Y প্রার্থীর চেয়ে $\frac{1}{3}$ অংশ ভোট বেশি পেল এবং Y প্রার্থী Z এর চেয়ে $\frac{3}{4}$ অংশ ভোট কম পেলেন। Z প্রার্থী 24,000 ভোট পেলে X কতগুলো ভোট পেয়েছিল?

Given that, Candidate Z received = 24,000 votes

$∴ C a n d i d a t e Y r e c e i v e d = (1 - \frac{3}{4}) \times 24000 = (\frac{4 - 3}{4}) \times 24000 = \frac{1}{4} \times 24000 = 6000 v o t e s$

$∴ C a n d i d a t e X r e c e i v e d = (6000 + 6000 \times \frac{1}{3}) = 6000 + 2000 = 8000 v o t e s$

(answer): Candidate X received 8,000 votes

3 months ago

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