A man encashed a cheque for Rs.600 from a bank. The bank pays him money in 10- rupee notes and 5- rupee notes only, totalling 72. The ratio of the number of 10- rupee notes to that of 5- rupee notes is?
Answers
||✪✪ QUESTION ✪✪||
A man encashed a cheque for Rs.600 from a bank. The bank pays him money in 10- rupee notes and 5- rupee notes only, totalling 72. The ratio of the number of 10- rupee notes to that of 5- rupee notes is?
|| ✰✰ ANSWER ✰✰ ||
Let Number of 10 Rs. notes are x and number of 5Rs. Notes are y .
Given that, Total Notes were 72.
So,
→ x + y = 72. ------------ Equation (1)
Now, given that, he withdraw Rs.600 From bank,,
So,
→ 10x + 5y = 600 --------- Equation (2)
Multiplying Equation (1) with 5 and than subtracting it from Equation (2) , we get,
→ (10x+5y) - 5(x+y) = 600 - 5*72
→ 10x - 5x + 5y - 5y = 600 - 360
→ 5x = 240
Dividing both sides by 5,
→ x = 48
So, y = 72 - 48 = 24 .
→ Ratio of Rs.10 notes and Rs.5 notes = 48 : 24 = 2 :1 .
Hence, Required Ratio is 2:1.
Therefore ,the ratio of 10rs and 5 rs notes =48:24 = 2:1