Question
Vikas spent 28% and 22% of his monthly salary on house EMI and car maintenance respectively. Out of the remaining amount, he spent 10% and one-fifth on hobbies and dining out, respectively. Now he gave 60% of the remaining amount to his father and left with Rs. 5,600. Find the amount spent by Vikas on dining out.
Solution
Let the monthly salary of Vikas = Rs. 100x Amount spent by Vikas on EMI and maintenance together = 28x + 22x = Rs. 50x Amount spent by Vikas on hobbies and dining together = 0.30 × (100x – 50x) = Rs. 15x Amount given to father = 0.60 × (100x – 50x – 15x) = Rs. 21x So amount left with him = 0.40 × (100x – 50x – 15x) = 5600 14x = 5600 x = 400 So the amount spent by Vikas on dining out = 0.20 × 50 × 400 = Rs. 4,000
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