Question
Three friends namely Ram, Laxman and Bharat went out for
lunch. They divided the entire bill among themselves such that the amount paid by Ram and Laxman together was 40% more than amount paid by Bharat. Amount paid by Laxman was 25% less than that by Ram and amount paid by Bharat was Rs. 80 more than that by Ram. How much was the bill (In Rs.)?Solution
Let the amount paid by Bharat be Rs. '100x' So, amount paid by Ram and Laxman together = 100x × 1.4 = Rs. '140x' Amount paid by Ram = Rs. (100x - 80) So, amount paid by Laxman = 140x - (100x - 80) = Rs. (40x + 80) ATQ; (100x - 80) × 0.75 = (40x + 80) Or, 75x - 60 = 40x + 80 Or, 140 = 35x So, x = 4 So, total amount of the bill = 100x + 140x = Rs. 240x = 240 × 4 = Rs. 960
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