Discussion
Salaries of Piu and Amit are in the ratio \(2 : 3.\) If the salary of each is increased by \(Rs. 4000,\) the new ratio becomes \(40 : 57.\) What is Amit's salary?
Answer: A
Let the original salaries of Piu and Amit be \(Rs. 2x\) and \(Rs. 3x\) respectively.
Then, \(\frac{2x + 4000}{3x + 4000} = \frac{40}{57}\)
\(\Rightarrow 57(2x + 4000) = 40(3x + 4000)\)
\(\Rightarrow 6x = 68,000\)
\(\Rightarrow 3x = 34,000\)
Amit's presents salary \(= (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.\)
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