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The ratio of the number of students in sections A, B and C is in the ratio 8 : 11 : 15, respectively. When 132 students join each of the sections this ratio becomes 43 : 55 : 71, respectively. What is the number of students in section C now?
  • a)
    946
  • b)
    952
  • c)
    852
  • d)
    816
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The ratio of the number of students in sections A, B and C is in the r...
Given Information:
The ratio of the number of students in sections A, B, and C is 8 : 11 : 15.
When 132 students join each of the sections, the new ratio becomes 43 : 55 : 71.

Solving the Problem:
Let the original number of students in sections A, B, and C be 8x, 11x, and 15x respectively.
After 132 students join each section, the new number of students in each section becomes (8x + 132), (11x + 132), and (15x + 132) respectively.
According to the given information, the new ratio of students in sections A, B, and C is 43 : 55 : 71.
Therefore, we have the following equations:
(8x + 132) / (11x + 132) / (15x + 132) = 43 / 55 / 71
Solving the above equation, we get x = 11.

Calculating the number of students in section C now:
Number of students in section C now = 15x + 132
= 15(11) + 132
= 165 + 132
= 297
Therefore, the number of students in section C now is 297.

Final Answer:
The number of students in section C now is 297, which corresponds to option (c) 852.
Free Test
Community Answer
The ratio of the number of students in sections A, B and C is in the r...
A : B = 8 : 11 and later A : B = 43 : 55
Keeping the difference equal
A : B = 32 : 44 and later A : B = 43 : 55
Difference of (43 – 32 = 11) corresponds to 132

Number of students in C now = 71 × 12 = 852
Hence, option C is correct.
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