Lakshmi is a cashier in a bank. She has currency notes of denomination Rs 100 , Rs 50,and Rs 10, respectively. The ratio of numbers of these notes is2:3:5. The total cash with Lakshmi is Rs 400000. How many notes of each denomination does she have?
Answers
The ratio of the notes is : 2 : 3 : 5
Let her have 2 * N number of Rs 100 notes, 3 * N number of Rs 50 notes, and 5 * N number of Rs 10 notes respectively.
Then the total value of the currency notes will be:
2 N * Rs 100 + 3 N * Rs 50 + 5 N * Rs 10 = Rs 4, 00, 000
=> 200 N + 150 N + 50 N = Rs 4, 00, 000
=> 400 N = Rs 4, 00, 000
=> N = 1, 000
Hence, There are 2N = 2,000 notes of Rs 100 , 3N = 3,000 notes of Rs 50 and finally , 5 N = 5, 000 notes of Rs 10.
There’s an alternate method too:
number
of rs 100 note = 2x
number of rs 50 note = 3x
number of rs 10 note = 5x
then,
100*2x + 50*3x + 10*5x = 400000
200x + 150x + 50x = 400000
400x = 400000
x = 1000
rs. 100 note = 2000
rs 50 note = 3000
rs 10 note = 5000
Or else, please refer the image below.
Hope This Helps :)
