Question

A total of 80,000 is to be distributed among 200 persons as prizes. A prize is either of 500 or
* 100. Find the number of each prize.​

Answer 1

Step-by-step explanation:

Let us say we have given prizes of Rs 500 to N persons and Rs 100 prizes to (200-N) persons. The total amount is,

Rs 80,000 = Rs 500 N + (200 - N) Rs 100 800 = 5 N + 200 - N = 4N + 200

4 N = 600

N = 150

So the prizes of Rs 500 are given to 150 persons and the prizes of Rs 100 are given to 50 persons.

Answer 2

Solution -

★ Let the number of people who got Rs 500 be x.

★ Let the number of people who got Rs 100 be (200 - x ).

The total amount is Rs 80,000

→ 500x + 100 (200 - x ) = 80000

→ 500x + 20000 - 100x = 80000

→ 400x = 80000 - 20000

→ 400x = 60000

→ x = 60000/400

→ x = 150

Now, we have to find the number of each price ,

→ Rs 500 = x = 150

→ Rs 100 = 200 - x = 200 - 150 = 50

Answer :- There are 150 of Rs 500- price and 50 of Rs 100