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 [SSC (CGL) 2014] |
A) 6427.50
B) 6415.40
C) 6400.30
D) 6423.90
Correct Answer: D
Solution :
Here, \[x=Rs.\,\,7500,\]\[{{r}_{1}}=8\]%,\]\[{{r}_{2}}=5\]%,\]\[{{r}_{3}}=2\]% |
Selling price of machine |
\[=x\times \left( 1-\frac{{{r}_{1}}}{100} \right)\left( 1-\frac{{{r}_{2}}}{100} \right)\left( 1-\frac{{{r}_{3}}}{100} \right)\] |
\[=7500\times \left( \frac{100-8}{100} \right)\times \left( \frac{100-5}{100} \right)\times \left( \frac{100-2}{100} \right)\] |
\[=7500\times \frac{92}{100}\times \frac{95}{100}\times \frac{98}{100}\] |
\[=\frac{3\times 92\times 95\times 98}{100\times 4}=\frac{3\times 23\times 95\times 98}{100}\] |
\[=\frac{642390}{100}=Rs.\,\,6423.90\] |
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