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Ram spends 20% of his monthly income on his household expenditure, 15% of the rest on books. 30% of rest on clothes and saves the rest. On counting, he comes to know he has finally saved Rs. 9,520. Find out his monthly income?
  • a)
    Rs. 15,000
  • b)
    Rs. 10,000
  • c)
    Rs. 20,000
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ram spends 20% of his monthly income on his household expenditure, 15%...
None of these
Let the monthly income be xx
money spend on household expenditure=20% of xx
money spend on books=15% of (80% of x)=12% of xx
money spent on clothes=30% 0f (68% 0f x)=20.4% of xx
Amount he has saved=[100-(20+12+20.4)]% of xx=47.6% of xx=9520
∴ x=20,000
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Most Upvoted Answer
Ram spends 20% of his monthly income on his household expenditure, 15%...
Given information:
- Ram spends 20% of his monthly income on household expenditure.
- 15% of the remaining income is spent on books.
- 30% of the remaining income is spent on clothes.
- Ram saves the rest, which is equal to Rs. 9,520.

To find: Ram's monthly income.

Solution:
Let's assume Ram's monthly income to be x.

1. Household expenditure:
Ram spends 20% of his monthly income on household expenditure.
So, the amount spent on household expenditure = 20% of x = 0.2x.

2. Amount remaining after household expenditure:
The amount remaining after household expenditure = x - 0.2x = 0.8x.

3. Amount spent on books:
Ram spends 15% of the remaining amount on books.
So, the amount spent on books = 15% of 0.8x = 0.15 * 0.8x = 0.12x.

4. Amount remaining after spending on books:
The amount remaining after spending on books = 0.8x - 0.12x = 0.68x.

5. Amount spent on clothes:
Ram spends 30% of the remaining amount on clothes.
So, the amount spent on clothes = 30% of 0.68x = 0.3 * 0.68x = 0.204x.

6. Amount saved:
Ram saves the rest of the amount, which is equal to Rs. 9,520.
So, the equation becomes:
0.68x - 0.204x = 9,520
0.476x = 9,520
x = 9,520/0.476
x = 20,000

Therefore, Ram's monthly income is Rs. 20,000.

Answer: Option (c) Rs. 20,000.
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Ram spends 20% of his monthly income on his household expenditure, 15% of the rest on books. 30% of rest on clothes and saves the rest. On counting, he comes to know he has finally saved Rs. 9,520. Find out his monthly income?a)Rs. 15,000b)Rs. 10,000c)Rs. 20,000d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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