Question
The salaries of A and B are in the ratio 5 : 7. They
both get an increment of ₹6000 each, and their new salaries are in the ratio 3 : 4. Find their original salaries.Solution
Let original salaries be 5x and 7x. After increment: A’s new salary = 5x + 6000 B’s new salary = 7x + 6000 Given ratio: (5x + 6000) : (7x + 6000) = 3 : 4 ⇒ (5x + 6000)/(7x + 6000) = 3/4 Cross-multiply: 4(5x + 6000) = 3(7x + 6000) 20x + 24000 = 21x + 18000 24000 − 18000 = 21x − 20x 6000 = x So original salaries: A = 5x = 5 × 6000 = ₹30,000 B = 7x = 7 × 6000 = ₹42,000 Hence, ₹30,000 and ₹42,000 are there original salaries.
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