Question
"The monthly incomes of Amit and
Bhuvan are in the ratio of 8:5. Bhuvan's monthly expenditure is 70% higher than Amit's monthly savings. Amit's monthly expenditure exceeds Bhuvan's by Rs. 7,800. If their monthly savings are in the ratio of 5:4, what is the average monthly income of Amit and Bhuvan?"Solution
ATQ, Let the monthly savings of Amit and Bhuvan are Rs. 5p and Rs. 4p respectively. Monthly expenditure of Bhuvan = 1.7 × 5p = Rs. 8.5p Monthly expenditure of Amit = Rs. 8.5p + 7800 According to question: (5p + 8.5p + 7800)/ (4p + 8.5p) = 8/5 67.5p + 39000 = 100p 32.5p = 39000 p = 1200 So, the monthly income of Amit = 5 × 1200 + 8.5 × 1200 + 7800 = 6000 + 10200 + 7800 = Rs. 24,000 Monthly income of Bhuvan = 4 × 1200 + 8.5 × 1200 = 4800 + 10200 = Rs. 15,000 So, the average monthly income of Amit and Bhuvan = (24000 + 15000)/2 = 39000/2 = Rs. 19,500
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