Quantitative Aptitude Ques 1900

Question: A machine is marked at Rs. 7500 for sale. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. The net selling price (in Rs.) is

Options:

A) 6427.50

B) 6415.40

C) 6400.30

D) 6423.90

Show Answer

Answer:

Correct Answer: D

Solution:

  • Here, $ x=Rs.7500, $ $ r _1=8 $ %, $ $ r _2=5 $ %, $ $ r _3=2 $ % Selling price of machine $ =x\times ( 1-\frac{r _1}{100} )( 1-\frac{r _2}{100} )( 1-\frac{r _3}{100} ) $ $ =7500\times ( \frac{100-8}{100} )\times ( \frac{100-5}{100} )\times ( \frac{100-2}{100} ) $ $ =7500\times \frac{92}{100}\times \frac{95}{100}\times \frac{98}{100} $ $ =\frac{3\times 92\times 95\times 98}{100\times 4}=\frac{3\times 23\times 95\times 98}{100} $ $ =\frac{642390}{100}=Rs.6423.90 $
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