Surya has a total of rs 63,000 as a currency notes in the denominations of rs 50,rs 20, rs 10 the ratio of the number of these notes is 2:3:5 how many notes of each denomination does she have
Answers
Answer:
600 notes of 50rs, 900 notes of 20rs and 1500 notes of 10rs.
Step-by-step explanation:
We are given that there are 50rs, 20rs and 10rs notes. The ratio of number of these notes is 2:3:5. Consider 2:3:5 as 2x, 3x, 5x. Total amount = 63000
There 2x 50rs notes, 3x 20rs notes and 5x 10rs notes.
Now, multiply 2x with 50, 3x with 20 and 5x with 10.
2x*50 + 3x*20 + 5x*10 = 63000 which is total money.
So, 100x + 60x + 50x = 63000,
210x = 63000
x = 63000 / 210 = 300.
So, you got x as 300. You know, the number of notes are 2x, 3x, 5x. So,
number of 50rs notes = 2*x = 2*300 = 600 notes
number of 20rs notes = 3*x = 3*300 = 900 notes
number of 10rs notes = 5*x = 5*300 = 1500 notes.
Checking:
After your sum is done, it is very important to check. So now, we can substitute and see if we made it right or not.
600*50 = 30000, 900*20 = 18000, 1500*10 = 15000.
30000+18000+15000 = 30000+33000 = 63000.
Hence, our answer is right