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(C) Let the total sales be $₹ x$.The total earnings of the salesman consist of $5 \frac{1}{2} \%$ of total sales and a bonus of $\frac{1}{2} \%$ on sa

Vedclass · Accepted Answer

$34000$

Vedclass · Answer

(C) Let the total sales be $₹ x$.The total earnings of the salesman consist of $5 \frac{1}{2} \%$ of total sales and a bonus of $\frac{1}{2} \%$ on sales exceeding $₹ 10000$.Total earnings $= \frac{5.5}{100} 	imes x + \frac{0.5}{100} 	imes (x - 10000) = 1990$$\Rightarrow \frac{5.5x}{100} + \frac{0.5(x - 10000)}{100} = 1990$Multiply the entire equation by $100$:$5.5x + 0.5x - 5000 = 199000$$6x = 199000 + 5000$$6x = 204000$$x = \frac{204000}{6} = 34000$Thus,the total sales are $₹ 34000$.

$A$ salesman is allowed $5 \frac{1}{2} \%$ discount on the total sales made by him plus a bonus of $\frac{1}{2} \%$ on the sales made over $₹ 10000$. If his total earnings are $₹ 1990$,find the total sales.

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