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4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

Correct answer: C. Rs.15000

  • A. Rs.18000
  • B. Rs.13000
  • C. Rs.15000
  • D. Rs.10000

Explanation

Let one singer's share be s. From 3 dancers = 2 singers, one dancer gets 2s/3, and from 3 comperes = 2 dancers, one compere gets 4s/9; therefore 4s + 5(2s/3) + 3(4s/9) = 130000, giving 26s/3 = 130000 and s = Rs.15000. The likely wrong choice is Rs.13000, which comes from dividing the total by the number of people without applying the unequal share conditions.

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