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Ram spent 25% of his monthly income on entertainment and 70% of the remaining on rent. If amount spent on rent is Rs. 2016, then find the amount spent on entertainment.
- a)Rs. 900
- b)Rs. 960
- c)Rs. 920
- d)Rs. 910
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Ram spent 25% of his monthly income on entertainment and 70% of the r...
To find the amount spent on entertainment, we need to first calculate Ram's monthly income and then determine the percentage spent on entertainment.
Let's assume Ram's monthly income is X.
Amount spent on entertainment:
Ram spent 25% of his monthly income on entertainment, so the amount spent on entertainment can be calculated as 0.25X.
Remaining income after entertainment expenses:
The remaining income after entertainment expenses is 100% - 25% = 75% of the monthly income, which is 0.75X.
Amount spent on rent:
Ram spent 70% of the remaining income on rent, which is 0.70 * 0.75X = 0.525X.
Given that the amount spent on rent is Rs. 2016, we can equate the calculated amount spent on rent to Rs. 2016 and solve for X:
0.525X = 2016
Dividing both sides of the equation by 0.525:
X = 2016 / 0.525
X ≈ 3840
Now that we know Ram's monthly income is approximately Rs. 3840, we can calculate the amount spent on entertainment:
Amount spent on entertainment = 0.25 * 3840 = Rs. 960.
Therefore, the correct answer is option B) Rs. 960.
Let's assume Ram's monthly income is X.
Amount spent on entertainment:
Ram spent 25% of his monthly income on entertainment, so the amount spent on entertainment can be calculated as 0.25X.
Remaining income after entertainment expenses:
The remaining income after entertainment expenses is 100% - 25% = 75% of the monthly income, which is 0.75X.
Amount spent on rent:
Ram spent 70% of the remaining income on rent, which is 0.70 * 0.75X = 0.525X.
Given that the amount spent on rent is Rs. 2016, we can equate the calculated amount spent on rent to Rs. 2016 and solve for X:
0.525X = 2016
Dividing both sides of the equation by 0.525:
X = 2016 / 0.525
X ≈ 3840
Now that we know Ram's monthly income is approximately Rs. 3840, we can calculate the amount spent on entertainment:
Amount spent on entertainment = 0.25 * 3840 = Rs. 960.
Therefore, the correct answer is option B) Rs. 960.
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Community Answer
Ram spent 25% of his monthly income on entertainment and 70% of the r...
Let, monthly income of Ram is Rs. x
So, 0.75 × 0.70 × x = 2016
So, x = 3840
Amount spent on entertainment = 0.25 × 3840 = Rs. 960
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Ram spent 25% of his monthly income on entertainment and 70% of the remaining on rent. If amount spent on rent is Rs. 2016, then find the amount spent on entertainment.a)Rs. 900b)Rs. 960c)Rs. 920d)Rs. 910e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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