A sales boy is allowed \(4\frac12\) % discount on the total sales made by him plus a bonus of \(\frac14\) % on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?

A Rs.60,145.23

B Rs.54,285.54

C Rs.52,147.85

D Rs.50,589.47

Solution

Correct Answer: Option D

Let the total earnings be Rs.x 

Then \(4\frac12\) % of x + \(\frac14\)% of (x-12000) =2400

\(\Rightarrow\frac92\times\frac x{100}+\frac14\times\frac{x-12000}{100}=2400\)

=>  x=50,589.47

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