Question

Rashmi is a cashier in a bank. she has currency notes of denominations $100,$50and $10, respectively. The ratio of the number of these notes is 2:3:5. the total cash with Rashmi is $4,00,000. how many notes of each denominations does she have​

Answer 1

Answer:

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..  

Answer 2

Let the numbers of notes of $100, $50 and $10 be 2x, 3x and 5x respectively.

• Value of $100 = 2x × 100 = 200x

• Value of $50 = 3x × 50 = 150x

• Value of $10 = 5x × 10 = 50x

According to the question,

200x + 150x + 50x = 4,00,000

⇒ 400x = 4,00,000

⇒ x = 400000/400

⇒ x = 1000

Numbers of $100 notes = 2x = 2000

Numbers of $50 notes = 3x = 3000

Numbers of $10 notes = 5x = 5000