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A man spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first?
Verified Answer
A man spent 10% of his money and after losing 30% of his remainder he ...
Step-by-step explanation:
Let the amount the man had in the beginning be rs x.
Amount he spent = x * 10/100 = 0.1 x
Amount of remainder money = x - 0.1x = 0.9x
Amount of money he lost = 30% of 0.9x = 0.9x * 30/100 = 0.27x
Amount left with the man = x - 0.1x - 0.27x = 0.63x
According to the question,
0.63x = 1260
x = 1260/0.63
x = rs 2000
So, the man had rs 2000 at first.
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
A man spent 10% of his money and after losing 30% of his remainder he ...
Given:
- A man spent 10% of his money.
- After losing 30% of his remainder, he had 1260 left.
To Find:
- The amount of money he had at first.
Assumptions:
- Let's assume the man had x amount of money at first.
Solution:
Step 1: Calculate the amount of money he spent initially.
- He spent 10% of his money, which is 0.10x.
Step 2: Calculate the remainder after spending.
- The remainder after spending is x - 0.10x = 0.90x.
Step 3: Calculate the amount of money he lost after losing 30% of the remainder.
- He lost 30% of 0.90x, which is 0.30 * 0.90x = 0.27x.
Step 4: Calculate the remaining amount of money he had.
- The remaining amount of money he had is 0.90x - 0.27x = 0.63x.
Step 5: Set up an equation using the information given.
- The remaining amount of money he had is 1260, so we have the equation:
0.63x = 1260.
Step 6: Solve the equation to find the value of x.
- Divide both sides of the equation by 0.63:
x = 1260 / 0.63 = 2000.
Answer:
- The man had 2000 at first.
- A man spent 10% of his money.
- After losing 30% of his remainder, he had 1260 left.
To Find:
- The amount of money he had at first.
Assumptions:
- Let's assume the man had x amount of money at first.
Solution:
Step 1: Calculate the amount of money he spent initially.
- He spent 10% of his money, which is 0.10x.
Step 2: Calculate the remainder after spending.
- The remainder after spending is x - 0.10x = 0.90x.
Step 3: Calculate the amount of money he lost after losing 30% of the remainder.
- He lost 30% of 0.90x, which is 0.30 * 0.90x = 0.27x.
Step 4: Calculate the remaining amount of money he had.
- The remaining amount of money he had is 0.90x - 0.27x = 0.63x.
Step 5: Set up an equation using the information given.
- The remaining amount of money he had is 1260, so we have the equation:
0.63x = 1260.
Step 6: Solve the equation to find the value of x.
- Divide both sides of the equation by 0.63:
x = 1260 / 0.63 = 2000.
Answer:
- The man had 2000 at first.
Community Answer
A man spent 10% of his money and after losing 30% of his remainder he ...
2000
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A man spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first?
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A man spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first? 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 spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first?.
A man spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first? 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 spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man spent 10% of his money and after losing 30% of his remainder he had 1260 left. How much money had he at first?.
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