Question

A total 50000 rs. is to be distributed among 200 persons as prizes.a prize is either 500 rs. or 100 rs..find the numbers of each type of prizes.

Answer 1

(1) Let the cost price of the note book be Rs x.

Then the selling price of the note book will be Rs (x + 10).

 

Given : Six times cost price of notebook = Five times selling price of notebook

⇒ 6x = 5(x + 10)

⇒ 6x = 5x + 50

⇒ 6x – 5x = 50

⇒ x = 50

 

∴ Cost price of the notebook is Rs 50 and selling price of the notebook is Rs (50 + 10) = Rs.60

 

 

(2) Let the number of Rs 100 price be y

Then the number of Rs 500 price = 100 – y

 

Given : Rs 2000 is distributed as prizes 

⇒ 100y + 500 ( 100 – y) = 20000

⇒ y + 5 ( 100 – y) = 200

⇒ y + 500 – 5y = 200

⇒ y – 5y = 200 – 500

⇒ – 4y = – 300

y=300/4
=750


The number of Rs 100 price is 75 and the number of Rs 500 prize is ( 100 – 75) = 25