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A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income was
- a)Rs 50000
- b)Rs 40000
- c)Rs 30000
- d)Rs 20000
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A person gave 20% of his income to his elder son,30% of the remaining ...
Let income be Rs. 100.
Sum given to elder son
= 20% of Rs. 100 = Rs. 20
Remaining Sum = Rs. 20
Sum given to younger son = 30% of Rs. 80= Rs. 24
Remaining Sum
= Rs. (80 -24) = Rs. 56
Remaining sum
= 10% of Rs. 56 = Rs. 50.4
When Rs. 50.4 remains, total income = Rs. 100
When Rs. 10080 remains, total income
= (100x10080)/50.4 = Rs. 20000
Most Upvoted Answer
A person gave 20% of his income to his elder son,30% of the remaining ...
Given:
A person gave 20% of his income to his elder son, 30% of the remaining to the younger son, and 10% of the balance he donated to a trust. He is left with Rs 10080.
To find:
The person's income.
Assumption:
Let the person's income be x.
Calculation:
1. Given that the person gave 20% of his income to his elder son, the remaining balance will be 80% of his income.
2. Out of the remaining balance, he gave 30% to the younger son, leaving him with 70% of the remaining balance.
3. Finally, he donated 10% of the balance to a trust, which means he is left with 90% of the balance.
4. According to the question, he is left with Rs 10080, which is 90% of the remaining balance.
5. So, we can write the equation as:
90% of the remaining balance = Rs 10080
6. Mathematically, this can be represented as:
(90/100) * 70% * 80% * x = 10080
(9/10) * (7/10) * (4/5) * x = 10080
(9 * 7 * 4 * x) / (10 * 10 * 5) = 10080
(252x) / 250 = 10080
252x = 10080 * 250
252x = 2520000
x = 2520000 / 252
x = 10000
Conclusion:
The person's income is Rs 10000. Therefore, the correct answer is option 'D' - Rs 20000.
A person gave 20% of his income to his elder son, 30% of the remaining to the younger son, and 10% of the balance he donated to a trust. He is left with Rs 10080.
To find:
The person's income.
Assumption:
Let the person's income be x.
Calculation:
1. Given that the person gave 20% of his income to his elder son, the remaining balance will be 80% of his income.
2. Out of the remaining balance, he gave 30% to the younger son, leaving him with 70% of the remaining balance.
3. Finally, he donated 10% of the balance to a trust, which means he is left with 90% of the balance.
4. According to the question, he is left with Rs 10080, which is 90% of the remaining balance.
5. So, we can write the equation as:
90% of the remaining balance = Rs 10080
6. Mathematically, this can be represented as:
(90/100) * 70% * 80% * x = 10080
(9/10) * (7/10) * (4/5) * x = 10080
(9 * 7 * 4 * x) / (10 * 10 * 5) = 10080
(252x) / 250 = 10080
252x = 10080 * 250
252x = 2520000
x = 2520000 / 252
x = 10000
Conclusion:
The person's income is Rs 10000. Therefore, the correct answer is option 'D' - Rs 20000.
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A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer?
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A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer?.
A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer?.
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A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A person gave 20% of his income to his elder son,30% of the remaining to the younger son and 10% of the balance he donated to a trust. He is left with Rs 10080.His income wasa)Rs 50000b)Rs 40000c)Rs 30000d)Rs 20000Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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