atul deposite 30% of his income ina a bank after spending 50% of the remaining he had 10,500 left with him what is his income
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Step-by-step explanation:
Rs.30000
Step-by-step explanation:
Let the income be x
Let the income be xAtul deposit 30% of his income in a bank
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030x
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107x
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107xNow he spend 50%
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107xNow he spend 50%So, Remaining = \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}107x−10050×107x
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107xNow he spend 50%So, Remaining = \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}107x−10050×107xWe are given that he had 10,500 left with him
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107xNow he spend 50%So, Remaining = \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}107x−10050×107xWe are given that he had 10,500 left with himSo, \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}=10500107x−10050×107x=10500
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107xNow he spend 50%So, Remaining = \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}107x−10050×107xWe are given that he had 10,500 left with himSo, \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}=10500107x−10050×107x=10500x=30000x=30000
Let the income be xAtul deposit 30% of his income in a bankAmount deposited in bank = \frac{30}{100}x10030xRemaining amount = x-\frac{30}{100}x=\frac{7x}{10}x−10030x=107xNow he spend 50%So, Remaining = \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}107x−10050×107xWe are given that he had 10,500 left with himSo, \frac{7x}{10}-\frac{50}{100} \times \frac{7x}{10}=10500107x−10050×107x=10500x=30000x=30000Hence his income is Rs.30000
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Answer:
Let’s say Atul monthly income is 100 Rs.
Atul spends 30 Rs. on food, remaining Rs. = 100 - 30 = 70 Rs.
Spending on conveyance and clothes = 40% of 70 = (40/100) x 70 = 28 Rs.
Remaining Rs. = 70 - 28 = 42 Rs.
Saving = 50% of 42 = (50/100) x 42 = 21 Rs.
Applying unitary method now,
If monthly income is 100 Rs. then saving is 21 Rs.
If monthly income is 1 Rs. then saving = (21/100) Rs.
If monthly income is 18400 then saving = (21/100) x 18400
Therefore, Atul monthly saving = 21 x 184 = 3864 Rs.
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