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Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?
- a)Rs 3,60,000
- b)Rs 4,00,000
- c)Rs 4,20,000
- d)Rs 3,00,000
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Aman donated 10% of his Savings to Charity and gave 15% of his saving...
Let his savings be Rs 100x
View all questions of this test
Money donated to charity = Rs 10x and Money given to sister = Rs 15x
Money left with Aman = 100x - 10x - 15x = Rs 75x
Money left with him after giving to son = (40/100)*75x = Rs 30x
Money left with him after giving to daughter = (20/100)*30x = Rs 6x
Given, 15x + 6x = 84000
=> 21x = 84000
=> x = 4000
His Savings = Rs 4,00,000
Most Upvoted Answer
Aman donated 10% of his Savings to Charity and gave 15% of his saving...
To solve this problem, let's break it down step by step:
Step 1: Calculate the amount donated to charity
Aman donated 10% of his savings to charity. Let's assume his savings is 'x' rupees.
The amount donated to charity is 10% of x, which is 0.1x.
Step 2: Calculate the amount given to his sister
Aman gave 15% of his savings to his sister. After donating to charity, he has (100% - 10%) = 90% of his savings left.
The amount given to his sister is 15% of 90% of his savings, which is 0.15 * 0.9x = 0.135x.
Step 3: Calculate the remaining savings after giving to sister
After giving to his sister, Aman has (100% - 15%) = 85% of his savings left.
The remaining savings are 85% of his savings, which is 0.85x.
Step 4: Calculate the amount given to his son
Aman gave 60% of the remaining savings to his son. After giving to his son, he has (100% - 60%) = 40% of the remaining savings left.
The amount given to his son is 40% of the remaining savings, which is 0.4 * 0.85x = 0.34x.
Step 5: Calculate the amount given to his daughter
Aman gave 80% of the still remaining savings to his daughter. After giving to his daughter, he has (100% - 80%) = 20% of the still remaining savings left.
The amount given to his daughter is 20% of the still remaining savings, which is 0.2 * 0.34x = 0.068x.
Step 6: Calculate the amount left with Aman
After giving to his daughter, Aman has (100% - 20%) = 80% of the still remaining savings left.
The amount left with Aman is 80% of the still remaining savings, which is 0.8 * 0.34x = 0.272x.
Step 7: Set up the equation
According to the problem, the sum of the money given to the sister and the money left with Aman is Rs 84,000.
So, 0.135x + 0.272x = 84000.
Step 8: Solve the equation
Combining like terms, we get 0.407x = 84000.
Dividing both sides by 0.407, we get x ≈ 206,117.87.
So, Aman's savings are approximately Rs 206,117.87, which is not one of the given options. However, it is possible that there is an error in the question or the options provided.
Step 1: Calculate the amount donated to charity
Aman donated 10% of his savings to charity. Let's assume his savings is 'x' rupees.
The amount donated to charity is 10% of x, which is 0.1x.
Step 2: Calculate the amount given to his sister
Aman gave 15% of his savings to his sister. After donating to charity, he has (100% - 10%) = 90% of his savings left.
The amount given to his sister is 15% of 90% of his savings, which is 0.15 * 0.9x = 0.135x.
Step 3: Calculate the remaining savings after giving to sister
After giving to his sister, Aman has (100% - 15%) = 85% of his savings left.
The remaining savings are 85% of his savings, which is 0.85x.
Step 4: Calculate the amount given to his son
Aman gave 60% of the remaining savings to his son. After giving to his son, he has (100% - 60%) = 40% of the remaining savings left.
The amount given to his son is 40% of the remaining savings, which is 0.4 * 0.85x = 0.34x.
Step 5: Calculate the amount given to his daughter
Aman gave 80% of the still remaining savings to his daughter. After giving to his daughter, he has (100% - 80%) = 20% of the still remaining savings left.
The amount given to his daughter is 20% of the still remaining savings, which is 0.2 * 0.34x = 0.068x.
Step 6: Calculate the amount left with Aman
After giving to his daughter, Aman has (100% - 20%) = 80% of the still remaining savings left.
The amount left with Aman is 80% of the still remaining savings, which is 0.8 * 0.34x = 0.272x.
Step 7: Set up the equation
According to the problem, the sum of the money given to the sister and the money left with Aman is Rs 84,000.
So, 0.135x + 0.272x = 84000.
Step 8: Solve the equation
Combining like terms, we get 0.407x = 84000.
Dividing both sides by 0.407, we get x ≈ 206,117.87.
So, Aman's savings are approximately Rs 206,117.87, which is not one of the given options. However, it is possible that there is an error in the question or the options provided.
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Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. Can you explain this answer?
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Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. 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 Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. Can you explain this answer?.
Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. 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 Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aman donated 10% of his Savings to Charity and gave 15% of his savings to his sister. Of the remaining savings he gave 60% to his son and gave 80% of the still remaining saving to his daughter. If the sum of the money given to the sister and the money left with Aman finally is Rs 84,000, what was his savings?a)Rs 3,60,000b)Rs 4,00,000c)Rs 4,20,000d)Rs 3,00,000Correct answer is option 'B'. Can you explain this answer?.
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