A man has equal number of five, ten and twenty rupee notes amounting t...
Given:
Number of Five rupee note = Number of Ten rupee note = Number of Twenty rupee note
Calculation:
Let the equal number of five, ten and twenty rupee notes be x
⇒ 5x + 10x + 20x = 385
⇒ 35x = 385
⇒ x = 385/35 = 11
Total number of notes = 11 notes of Rs 5 + 11 notes of Rs 10 + 11 Rs of 20 = 33 notes
Check:
11 notes of Rs 5 + 11 notes of Rs 10 + 11 Rs of 20 = 11 × 5 + 11 × 10 + 11 × 20 = 55 + 110 + 220 = Rs. 385
Total number of notes = 11 × 3 = 33
Therefore the correct answer is 33.
Alternate Method:
Since the number of Rs 5, Rs 10, and Rs 20 notes are equal, the ratio of the number of notes is = 1 ∶ 1 ∶ 1
Or, we can say, the total number of notes must be multiple of 3.
Only two options are multiple of 3, others can be eliminated.
option 2 : 33. That means the number of notes of each dimension is 33/3 = 11.
5 × 11 + 11 × 10 + 11 × 20 = 385
∴ The total number of notes is 33.