A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then the cost price is ?
A. $$\frac{1}{9}{\text{th of marked price}}$$
B. $$\frac{4}{9}{\text{th of marked price}}$$
C. $$\frac{5}{9}{\text{th of marked price}}$$
D. $$\frac{7}{9}{\text{th of marked price}}$$
Answer: Option C
Solution(By Examveda Team)
Let the cost price = Rs. 100Selling price = Rs. 90
Marked price = 90 × 2 = Rs. 180
(∴ Selling price will be half of the Marked price as the discount is also equal to half the Marked price)
$$ \Rightarrow \frac{{{\text{Cost price }}}}{{{\text{Marked price}}}}$$ $$ = \frac{{100}}{{180}}$$ $$ = \frac{5}{9}$$
$$ \Rightarrow {\text{Cost price = }}$$ $$\frac{5}{9}{\text{ of Marked price}}$$
Related Questions on True Discount
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
A. 12%
B. 13%
C. 15%
D. 14%
A. Rs. 9025.20
B. Rs. 9200
C. Rs. 9600
D. Rs. 9560
A. Rs. 12,000 in cash
B. Rs. 12,880 at credit
C. Both are equally good
D. Rs. 18.33
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