Question
The monthly salary of Harshita and
Himani together is Rs.72225. The salary of Harshita and Himani is increased by 15% and 20% respectively then the new salary of Himani becomes 105% of the new salary of Harshita. What is the new salary of Himani?Solution
Let initial salary of Harshita was X and (Himani was 72225 – X). Increased salary of Harshita = X + 15% of X = 1.15X Increased Salary of Himani = 120% of (72225 - X) Increased Salary of Himani = (86670 - 1.2X) New Salary of Himani = 105% of 1.15X 86670 - 1.2X = 1.2075X => 1.2075X + 1.2X = 86670 => 2.4075X = 86670 => X = 36000 Initial salary of Himani = 72225 - 36000 = 36225 So, Her Increased salary = 36225 + 20% of 36225= Rs.43470.
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