Question
The ratio of the monthly income of K and L is 8:13,
respectively, and their expenditures are Rs. 2500 and Rs. 5000, respectively. Find the difference between their incomes if the ratio of the monthly saving of K to L is 4:7.Solution
According to the question: Let the monthly income of K = Rs. 8u Monthly income of L = Rs. 13u According to the question, (8u – 2500):(13u – 5000) = 4:7 7(8u – 2500) = 4(13u – 5000) 56u – 17500 = 52u – 20000 20000 – 17500 = 52u – 56u 2500 = 4u u = 625 Difference between their incomes = 13u – 8u = 5u = 5 × 625 = Rs. 3125
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