- Home
- Standard 13
- Quantitative Aptitude
7.Profit and Loss
easy
A manufacturer sells an article to a wholesale dealer at a profit of $10 \%$. The wholesale dealer sells it to a shopkeeper at $20 \%$ profit. The shopkeeper sells it to a customer for $Rs.\, 56,100$ at a loss of $15 \%$. Then the cost price of the article to the manufacturer is (in $Rs.$)
A
$25000$
B
$10000$
C
$50000$
D
$55000$
Solution
Let, the required cost price be $₹ x,$ then by
Rule of fraction, we have
$x \times \frac{110}{10} \times \frac{120}{100} \times \frac{85}{100}=56100$
$\Rightarrow \quad x \times \frac{11}{10} \times \frac{6}{5} \times \frac{17}{20}=56100$
$\Rightarrow \quad x=\frac{56100 \times 10 \times 5 \times 20}{11 \times 6 \times 17}=Rs. 50000$
Standard 13
Quantitative Aptitude