Question
Out of their respective monthly salaries, Soma spends
7/8 and Tina spends 4/5 on various expenses. The salary remaining with Tina after the expenses is Rs 2,000 more than that of Soma. If Tina’s monthly salary is Rs 4000 more than that of Soma, then what is Soma’s monthly salary?Solution
Let the monthly salary of Soma be Rs x Monthly salary of Tina = Rs x + 4000 Soma's expenses = Rs 7x/8 Tina's expenses = Rs 4/5 of (x + 4000) = 4x/5 + 3200 Remaining salary of Soma = x/8 Remaining salary of Tina = (x + 4000) - (4x/5 + 3200) = x/5 + 800 According to the question, x/5 + 800 = x/8 + 2000 x/8 - x/5 = 1200 3x/40 = 1200 x = Rs 16000 Hence, monthly salary of Soma be Rs x = Rs 16000
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