A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit When sold in cash, is

A) 10.50%

B) 15%

C) 9%

D) 8.50%

Correct answer:
A) 10.50%

Description for Correct answer:

Let CP of the goods = Rs.x.

Marked price of the goods

= \( \Large \frac{x \times \left(100+30\right) }{100} \)

= Rs. \( \Large \frac{13x}{10} \)

Now, SP of 'the goods = \( \Large \frac{13x}{10} \times \left(\frac{100-15}{100}\right) \)

= \( \Large \frac{13x}{10} \times \frac{85}{100}=Rs.\frac{21}{200}x \)

= Profit = \( \Large \left( \frac{221}{200}x- x \right) = Rs.\frac{21}{200}x \)

Hence, profit per cent = \( \Large \frac{\frac{221}{200}x}{x} \times 100\% \)

\( \Large \frac{2100}{200} \) = 10.5%



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