Question

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

Answer 1

Answer:

80,000÷200

=400 is your answer

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Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The number of rupees 500 prize = 150
• The number of rupees 100 prize = 50

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$\sf{\underline{\green{Given:-}}}$

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• A total of Rs 80,000 is to be distributed among 200 persons as prizes. A prize is either of rupees 500 or rupees 100.

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$\sf{\underline{\green{Find:-}}}$

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• The number of rupees 500 prize = ?
• The number of rupees 100 prize = ?

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$\sf{\underline{\green{Explanation:-}}}$

Let the number of 500 rupees prize be y.

$\:\:\:\:\dag\bf{\underline{\underline \red{Then:-}}}$

• 100 rupees note = 200 - y

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$\sf{\underline\pink{A.T.Q:-}}$

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$\longrightarrow \sf {500 \times y + (200 - y) \times 100 = 80000}$

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$\longrightarrow \sf {400y + 80000 - 20000}$

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$\longrightarrow \sf {400y = 60000}$

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$\longrightarrow \sf {y = \cancel\dfrac{60000}{400} }$

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$\longrightarrow \sf {y = 150}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• The number of rupees 500 prize is 150.

• The number of rupees 100 prize = 200 - 150
• The number of rupees 100 prize is 50

$\rule{200}{2}$