A salesman is allowed 5and 1/2 % commission on the total sales made by him plus a bounce of 1/2% on sales over Rs 10000. If his total earning were Rs 1990, what was his total sales in Rs?
Answers
Solution:-
1990 > 550 = 11/2% of 10,000
hence
sales is more than 10,000
giving
5.5S + 0.5(S -- 10,000)
=> 1990× 100 whence
S = [1990×100 + 0.5×10,000] / (5.5 + 0.5)
=> 34,000
The total sales in Rs= 34000
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@GauravSaxena01
Answer:
The total sales made were Rs 34,000
Step-by-step explanation:
The salesman is allowed a 5 and 1/2% commission which is 5.5% on total sales he makes.
In addition, he is allowed a 1/2% bounce on sales above 10,000 Rs only.
In our case, we have the total earnings of the salesman and we are to look for his total sales.
Since his total sales is unknown, let's say the total sales = x
Since he earns 5.5% ( which is 5.5/100) on the sales he makes, then we are going to say,
(5.5/100 × X ) +...
We also know that he earns 1/2% of sales made above Rs10,000 . Since we said our total sales are X, we will subtract 10,000 from X then multiply the difference with 0.5% ;
(X - 10000) × 0.5/100
The addition of the (5.5/100 × X ) with [ ( X - 10000) × 0.5/100)] will give us the total earnings of the salesman;
(5.5/100 × X) + [(X- 10000) × (0.5/100)] = 1990
(5.5X/100) + (0.5/100 X - 50) = 1990
We take the like terms together
5.5X/100 + 0.5X/100 = 1990 + 50
6/100X = 2040
Which is 6X = 2040 × 100
6X = 204000
Divide both sides by 6 to get
X = 34,000.
Since X is what we substituted for our total sales, then our total sales is Rs 34,000.