Question : Salaries of B, C, D, and E are in the ratio of 2 : 3 : 4 : 5 respectively. Their salaries are increased by 20%, 30%, 40% and 50% respectively. If the increased salary of D is INR 560, then what is the sum of the original salaries of B, C, D, and E?
Option 1: INR 1,400
Option 2: INR 1,560
Option 3: INR 1,820
Option 4: INR 1,260
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Correct Answer: INR 1,400
Solution : Given: Salaries of B, C, D, and E are in the ratio of 2 : 3 : 4 : 5 respectively. Percentage increase = 20%, 30%, 40%, and 50%. Let the salary of B, C, D, and E be $2x, 3x, 4x,$ and $5x$, respectively. According to the question, $4x+0.4(4x)=560$ ⇒ $4x+1.6x=560$ ⇒ $5.6x=560$ ⇒ $x=100$ The sum of the original salaries of B, C, D, and E $=2x+3x+4x+5x=14x=14\times100=$ INR 1,400 Hence, the correct answer is INR 1,400.
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