A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14 % on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?

Let the total earnings be Rs.x Then 4 1 2 % of x + 1 4 % of (x-12000) =2400 ⇒ 9 2 × x 100 + 1 4 × x - 12000 100 = 2400 => x=50,589.47

Correct Answer: Rs.50,589.47

Explanation:

Let the total earnings be Rs.x

Then $4 \frac{1}{2}$ % of x + $\frac{1}{4}$ % of (x-12000) =2400

$\Rightarrow \frac{9}{2} \times \frac{x}{100} + \frac{1}{4} \times \frac{x - 12000}{100} = 2400$

=> x=50,589.47

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