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For admission in a graduation program of Delhi University, 90% of the candidates who appeared for the written test were males and the rest were females, 60% of the males and 80% of the females passed in the written test. What is the total number of students who appeared for the written test, if the total number of passed candidates was 1240?
  • a)
    2,500
  • b)
    2,000
  • c)
    2,750
  • d)
    3,500
Correct answer is option 'B'. Can you explain this answer?
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For admission in a graduation program of Delhi University, 90% of the ...
Let total no. of students appeared = x
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For admission in a graduation program of Delhi University, 90% of the ...
To find the total number of students who appeared for the written test in Delhi University, we can use the given information and solve step by step.

Let's assume the total number of students who appeared for the written test is 'x'. According to the question:

- 90% of the candidates who appeared for the written test were males. So, the number of male candidates = 0.9x.
- The remaining candidates, i.e., 10% of the total, were females. So, the number of female candidates = 0.1x.

The next piece of information states that 60% of the males and 80% of the females passed the written test. Using this information, we can calculate the number of males and females who passed:

- Number of males who passed = (60/100) * (0.9x) = 0.54x
- Number of females who passed = (80/100) * (0.1x) = 0.08x

According to the question, the total number of passed candidates is 1240. So, we can write the equation:

0.54x + 0.08x = 1240

Simplifying the equation:

0.62x = 1240
x = 1240 / 0.62
x = 2000

Therefore, the total number of students who appeared for the written test in Delhi University is 2000 (option B).
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For admission in a graduation program of Delhi University, 90% of the candidates who appeared for the written test were males and the rest were females, 60% of the males and 80% of the females passed in the written test. What is the total number of students who appeared for the written test, if the total number of passed candidates was 1240?a)2,500b)2,000c)2,750d)3,500Correct answer is option 'B'. Can you explain this answer?
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