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The monthly income of two ASHA workers is in the ratio 2:3 and their monthly expenses are in the ratio 5:9. If each of them saves Rs. 6000 per month, then their monthly incomes are –
Rs. 15000: Rs. 22500
Rs. 12000: Rs. 18000
Rs. 16000: Rs. 24000
Rs. 14000: Rs. 21000
Let their monthly incomes be 2x and 3x, while monthly expenses be 5y and 9y Therefore, 2x - 5y = 6000………(i) and 3x – 9y = 6000……….(ii) Multiplying the equations by 3 and 2 respectively and subtracting eq. (ii) from (i) We get, 3y = 6000, therefore, y = 2000 Putting the value of y in eq. (i) 2x = 6000 + 5 * 2000 2x = 16000, therefore x = 8000 Therefore, monthly incomes 2x = 2 * 8000 = Rs. 16000 3x = 3 * 8000 = Rs. 24000
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