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A man loses 12.5% of his money and after spending 70% of the remainder he left with Rs 210. How much did he have at first?
- a)Rs 800
- b)Rs 950
- c)Rs 1200
- d)Rs 1050
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A man loses 12.5% of his money and after spending 70% of the remainder...
Assume Pre tax = 100%
After tax:
100% - 12.5% = 87.5%
After spending 70%:
= 87.5% - (87.5% x 70%)
= 87.5% - 61.25%
= 26.25%
If 26.25% = Rs. 210 then
1% = Rs. 8
Therefore, total pretax earning Rs. 800
Most Upvoted Answer
A man loses 12.5% of his money and after spending 70% of the remainder...
Given:
- A man loses 12.5% of his money
- He spends 70% of the remainder
- He is left with Rs 210
To find: How much money did he have at first?
Let's solve this problem step by step:
1. Finding the amount left after losing 12.5% of the money
Let's assume the initial amount of money the man had was x.
As per the question, he lost 12.5% of his money.
Therefore, the amount of money he has left after losing 12.5% of his money =
x - (12.5/100)*x
Simplifying this expression, we get:
x(1 - 0.125)
x(0.875)
0.875x
2. Finding the amount left after spending 70% of the remainder
After losing 12.5% of his money, the man is left with 0.875x amount of money.
Now, he spends 70% of the remainder.
Therefore, the amount of money he has left after spending 70% of the remainder =
0.3(0.875x)
0.2625x
3. Equating the amount left with Rs 210
As per the question, the man is left with Rs 210 after spending 70% of the remainder.
Therefore,
0.2625x = 210
x = 210/0.2625
x = 800
Hence, the man had Rs 800 at first.
Therefore, the correct answer is option A) Rs 800.
- A man loses 12.5% of his money
- He spends 70% of the remainder
- He is left with Rs 210
To find: How much money did he have at first?
Let's solve this problem step by step:
1. Finding the amount left after losing 12.5% of the money
Let's assume the initial amount of money the man had was x.
As per the question, he lost 12.5% of his money.
Therefore, the amount of money he has left after losing 12.5% of his money =
x - (12.5/100)*x
Simplifying this expression, we get:
x(1 - 0.125)
x(0.875)
0.875x
2. Finding the amount left after spending 70% of the remainder
After losing 12.5% of his money, the man is left with 0.875x amount of money.
Now, he spends 70% of the remainder.
Therefore, the amount of money he has left after spending 70% of the remainder =
0.3(0.875x)
0.2625x
3. Equating the amount left with Rs 210
As per the question, the man is left with Rs 210 after spending 70% of the remainder.
Therefore,
0.2625x = 210
x = 210/0.2625
x = 800
Hence, the man had Rs 800 at first.
Therefore, the correct answer is option A) Rs 800.
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Community Answer
A man loses 12.5% of his money and after spending 70% of the remainder...
Option a is answer
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A man loses 12.5% of his money and after spending 70% of the remainder he left with Rs210. How much did he have at first?a)Rs 800b)Rs 950c)Rs 1200d)Rs 1050Correct answer is option 'A'. Can you explain this answer?
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A man loses 12.5% of his money and after spending 70% of the remainder he left with Rs210. How much did he have at first?a)Rs 800b)Rs 950c)Rs 1200d)Rs 1050Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A man loses 12.5% of his money and after spending 70% of the remainder he left with Rs210. How much did he have at first?a)Rs 800b)Rs 950c)Rs 1200d)Rs 1050Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man loses 12.5% of his money and after spending 70% of the remainder he left with Rs210. How much did he have at first?a)Rs 800b)Rs 950c)Rs 1200d)Rs 1050Correct answer is option 'A'. Can you explain this answer?.
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