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

__Given:__ A total of RS. 80,000 is to be distributed among 200 persons as prizes. A prize is either of rs 500 or rs100.

__To find:__ We have to find the number of each prizes.

__Solution: __

Number of persons receiving prize = 200

Let number of person getting ₹ 500 prize = a

So, number of person getting ₹ 100 prize = 200 - a

Now,

500 x (number of person getting ₹ 500) + 100 (number of person getting ₹ 100) = 80000

500 x (a) + 100 (200 - a) = 80000

500a + 20000 - 100a = 80000

500a - 100a = 80000 - 20000

400a = 60000

a = 60000/400

a = 150

Therefore,

Number of person getting ₹ 500 prize = a = **150**

Number of person getting ₹ 100 prize = 200 - a = 200 - 150 = **50**

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