Question

A fady went to a book with Rs. 1,00,000. she
asked the cashier give her Rs.500 and Rs.1,000
Currency notes _in return . She got 175 Currency
notes in off Find the number of each kind of
currency notes ​

Answer 1

Let the number of notes of 500 and 1000 rupees are x and y respectively.

Given, the sum of number of of 500 and 1000 rupee notes is 175

=> x + y = 175 .......1

Again total value of 500 and 1000 rupee notes is 100000

=> 500x + 1000y = 100000

=> 500(x + 2y) = 100000

=> x + 2y = 100000/500

=> x + 2y = 1000/5

=> x + 2y = 200 ..........2

Subtract equation 1 and 2, we get

x + 2y - x - y = 200 - 175

=> y = 25

From equation 1, we get

x + 25 = 175

=> x = 175 - 25

=> x = 150

So, the number of notes of 500 is 150

hope it helps ☺️

and the number of notes of 1000 is 25

Answer 2

Answer:

Let the number of notes of 500 and 1000 rupees are x and y respectively.

Given, the sum of number of of 500 and 1000 rupee notes is 175

=> x + y = 175 .......1

Again total value of 500 and 1000 rupee notes is 100000

=> 500x + 1000y = 100000

=> 500(x + 2y) = 100000

=> x + 2y = 100000/500

=> x + 2y = 1000/5

=> x + 2y = 200 ..........2

Subtract equation 1 and 2, we get

x + 2y - x - y = 200 - 175

=> y = 25

From equation 1, we get

x + 25 = 175

=> x = 175 - 25

=> x = 150

So, the number of notes of 500 is 150

and the number of notes of 1000 is 25