Question : A supermarket earns $5\frac{1}{2}$% as a discount on the total purchasing value and a bonus of $\frac{1}{2}$% on sales more than Rs. 10,000. What is the total sale value if it earns Rs. 1,990?
Option 1: Rs. 14,000
Option 2: Rs. 16,000
Option 3: Rs. 34,000
Option 4: Rs. 24,000
Correct Answer: Rs. 34,000
Solution :
Let the total sales be $x$.
Discount on total purchasing value = 5.5%
Bonus on sales more than 10000 = 0.5%
0.5% on $(x-10000)=\frac{0.5(x-10000)}{100}$
Given earning = 1990
According to the question:
⇒ $\frac{5.5x}{100}+\frac{0.5(x-10000)}{100}=1990$
⇒ $6x=199000+5000$
$\therefore x=34000$
Hence, the correct answer is Rs. 34000.
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