Question
The salaries of Ravi and Sumit are in the ratio 4: 5. If
the salary of each is increased by Rs6,000 the new ratio becomes 35:40. What will be Sumit's increased salary?Solution
Let the original salaries of Ravi and Sumit be Rs 4x and Rs 5x respectively. According to the question, (4x + 6000)/(5x + 6000) = 35/40 ⇒ 160x + 240000 = 175x + 210000 ⇒ 15x = 30000 ⇒ x = 30000/15 = 2000 Current salary of Ravi = 4 × 2000 = Rs. 8000 Current salary of Sumit = 5 × 2000 = Rs. 10000 So, increased salary of Sumit = 10000 + 6000 = Rs. 16000 ∴ Sumit's increased salary is Rs. 16000.
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