Question
The ratio of A’s salary to B’s salary is 5 : 7. Each
of them gets an increment of Rs 3,000 per month, and the new ratio of their salaries becomes 8 : 11. What was A’s original salary?Solution
Let A’s original salary = 5k, B’s = 7k. After increment of Rs 3,000 each: A’s new salary = 5k + 3000 B’s new salary = 7k + 3000 Given new ratio: (5k + 3000) / (7k + 3000) = 8 / 11 Cross-multiply: 11(5k + 3000) = 8(7k + 3000) 55k + 33,000 = 56k + 24,000 Rearrange: 33,000 − 24,000 = 56k − 55k 9,000 = k So A’s original salary = 5k = 5 × 9,000 = Rs 45,000.
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