Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?Choices:- Rs. 17,000 Rs. 20,000 Rs. 25,500 Rs. 38,000Save AnswerSkip this questionFinish Exam
Question
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?Choices:- Rs. 17,000 Rs. 20,000 Rs. 25,500 Rs. 38,000Save AnswerSkip this questionFinish Exam
Solution
Let's solve this step by step:
Step 1: Let's assume the initial salaries of Ravi and Sumit are 2x and 3x respectively.
Step 2: According to the problem, when each of their salaries is increased by Rs. 4000, the ratio becomes 40 : 57. We can write this as:
(2x + 4000) / (3x + 4000) = 40 / 57
Step 3: Cross multiply to solve for x:
57*(2x + 4000) = 40*(3x + 4000)
114x + 228000 = 120x + 160000
Step 4: Simplify the equation to solve for x:
120x - 114x = 228000 - 160000
6x = 68000
x = 68000 / 6
x = 11333.33
Step 5: Now, substitute x = 11333.33 in the initial salary of Sumit (which is 3x):
Sumit's salary = 3x = 3*11333.33 = Rs. 34,000
But this is the initial salary. The problem states that the salary of each is increased by Rs. 4000. So, the new salary of Sumit would be Rs. 34,000 + Rs. 4,000 = Rs. 38,000.
So, the correct answer is Rs. 38,000.
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