Question

Renu sold an article at a loss of $8$ percent. Had she bought it at $10$% less and sold for Rs. $36$ more; she would have gained $20$%. Find the cost price of the article.

• A. Rs. $265$
• B. Rs. $235$
• C. Rs. $215$
• D. Rs. $225$

Answer 1

The correct option is D Rs. $225$

$\Rightarrow$ Let the cost price of the article be $Rs.100$.

$\Rightarrow$ Given that Renu sold it at loss of $8\%$

$\Rightarrow$ Hence, The selling price $=Rs.100–Rs.8=Rs.92$

$\Rightarrow$ It is given that if she had purchased it at $10\%$ less

$\Rightarrow$ The new Cost price $=Rs.100-Rs.10=Rs.90$.

$\Rightarrow$ Given that she will get a gain of $20\%$ on it.

$\therefore$ New Selling price $=Rs.90+Rs.18=Rs.108$

$\therefore$ The difference in Selling price $=Rs.108-Rs.92=Rs.16$

$\Rightarrow$ Given the difference in SP = Rs 36

$\Rightarrow$ Initial Selling price $=\frac{36}{16}\times 100=Rs.225$

$\therefore$ The initial cost price is $Rs.225.$