A man wish to give ₹12 to each person and found that he fell short of ₹6 when…
2016
A man wish to give ₹12 to each person and found that he fell short of ₹6 when he wanted to give to all the persons present. He therefore distributed ₹9 to each person and found ₹9 was left over. How many persons were there?
- A.
6 / ६
- B.
7 / ७
- C.
5 / ५
- D.
9 / ९
Attempted by 41 students.
Show answer & explanation
Correct answer: C
Key idea: use the same total money M and number of persons n for both scenarios.
When giving ₹12 to each, he is short of ₹6, so total money M = 12n − 6.
When giving ₹9 to each, he has ₹9 left, so total money M = 9n + 9.
Equate the two expressions: 12n − 6 = 9n + 9. Rearranging gives 3n = 15, so n = 5.
Therefore the number of persons is 5. Verify: 12×5 − 6 = 54 and 9×5 + 9 = 54, so both statements agree.