A salesman is allowed&

Question

A salesman is allowed `5 1/2`% discount on the total sales made by him plus a bonus of `1/2`% on the sales over

Rs.10,000. If his total earnings were Rs. 1990, then his total sales (in Rs.) were:

Options:

A . 30,000

B . 32,000

C . 34,000

D . 35,000

Answer: Option C

Let the total sales be Rs. `x`. Then, `5 1/2`% of `x + 1/2`% of (`x` - 10000) = 1990

`hArr 11/2 xx 1/100 xx x + 1/2 xx 1/100 xx (x - 10000)` = 1990

`hArr 12x - 10000 = 398000 hArr 12x = 408000 hArr x` = 34000.

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