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Standard IX

Mathematics

Concept of Saving

Mr. Roy gave ...

Question

Mr. Roy gave 20% of his income as Income tax, 30% of it to his elder son and 15% to his younger son. He also gave 20% to his daughter. After all this he still had ₹30000 left with him. What was his total income?

₹2,00,000

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₹2,40,000

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₹1,80,000

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₹2,24,000

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Solution

The correct option is A ₹2,00,000
Total amount spent by Mr. Roy = 20 + 30 + 15 + 20 = 85%
Total remaining with him = 100 - 85 = 15%
Let his total income be ₹x
$\frac{15 x}{100}$ = ₹30000
$\Rightarrow$ x = $\frac{30000 \times 100}{15}$ = ₹2,00,000

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Mr. Roy gave 20% of his income as Income tax, 30% of it to his elder son and 15% to his younger son. He also gave 20% to his daughter. After all this he still had ₹30000 left with him. What was his total income?

The correct option is A ₹2,00,000Total amount spent by Mr. Roy = 20 + 30 + 15 + 20 = 85% Total remaining with him = 100 - 85 = 15% Let his total income be ₹x 15x100 = ₹30000 ⇒ x = 30000×10015 = ₹2,00,000

The correct option is A ₹2,00,000
Total amount spent by Mr. Roy = 20 + 30 + 15 + 20 = 85%
Total remaining with him = 100 - 85 = 15%
Let his total income be ₹x
$\frac{15 x}{100}$ = ₹30000
$\Rightarrow$ x = $\frac{30000 \times 100}{15}$ = ₹2,00,000