Raju earns - 34000 per month- He spends 1-4 th of his income on food- 3-10 th of the remainder on house rent and 5-21 th of the remainder on education of children- How much money is still left with him-

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Distributive Property of Rational Numbers

Raju earns ₹ ...

Question

Raju earns ₹ 34000 per month. He spends $\frac{1}{4} t h$ of his income on food, $\frac{3}{10} t h$ of the remainder on house rent and $\frac{5}{21} t h$ of the remainder on education of children. How much money is still left with him?

₹13100

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₹13200

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₹13300

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₹13600

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Solution

The correct option is D
₹13600

Raju's total monthly income = ₹ 34000

Raju’s expenses on food = $\frac{1}{4} \times 34000$

= ₹ 8500

Money left with Raju = 34000 - 8500
= ₹ 25500

House rent = $\frac{3}{10} \times 25500$
= ₹ 7650

$Now, money left with Raju = 25500 - 7650$
= ₹ 17850

Children's education = $\frac{5}{21} \times 17850$
= ₹ 4250

Money left with Raju = 17850 – 4250
= ₹13600

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