A) increased by 10%
B) increased by 5.3%
C) decreased by 3%
D) decreased by 5.3%
Correct Answer: B
Solution :
[b] Let the cost price of item = Rs. x \[\therefore \] Marked price of item \[=\frac{x\times (100+30)}{100}=\text{Rs}.\,\,\frac{13x}{10}\] Selling price of the item after two successive discount \[=\frac{13x}{10}\times \left( \frac{100-10}{100} \right)\times \left( \frac{100-10}{100} \right)\] \[=\frac{13x}{10}\times \frac{90}{100}\times \frac{90}{100}=\text{Rs}\text{.}\,\,\frac{1053}{1000}x\] Increment in the price of item \[=\frac{\frac{1053x}{1000}-x}{x}\times 100%=\frac{53}{10}%=5.3%\] |
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