Question

A total of Rs 85,000 is to be distributed among 250 persons as prize. A prize is either of Rs 500 or Rs 100 . Find the number of Rs500 prize. a) 100 b) 150 c) 200 d) 120

Your answer


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Answer 1

Answer:

The number of people who receive the 500 Rs prize is 150 persons, and the number of people who receive the 100 Rs prize is 100 persons.

Step-by-step explanation:

It is given that the number of people who receive prizes is 250, and the total amount of money is 85,000 Rs.

Let n be the number of people who receive the 500 Rs prize.

Let (250-n) be the number of people who receive the 100 Rs prize.

Therefore, 500n + 100(250-n) = 85000

500n+25000-100n=85000

400n=85000-25000

400n=60000

n=60000/400

n=150

Number of people who recieve the 100 Rs prize:

250-n=250-150

=100

Therefore,The number of people who receive the 500 Rs prize is 150 persons, and the number of people who receive the 100 Rs prize is 100 persons.

Answer 2

Answer:

b) 150

The number of Rs 500 prize = 150

Step-by-step explanation:

Let,

The number of Rs 500 prize = x

Prize distributed among 250 people

So,

The number of Rs 100 prize = 250 - x

Total prize money = Rs 85,000

★ According to the question :

⇒ 500 × (x) + 100 × (250 - x) = 85,000

⇒ 500x + 25,000 - 100x = 85,000

⇒ 500x - 100x + 25,000 = 85,000

⇒ 500x - 100x = 85,000 - 25,000

⇒ 400x = 60,000

⇒ x = 60,000 / 400

⇒ x = 150

The number of Rs 500 prize = 150

The number of Rs 100 prize = 250 - x

⇒ 250 - x

⇒ 250 - 150

⇒ 100

The number of Rs 100 prize = 100

Therefore,

b) 150

The number of Rs 500 prize = 150