| The single discount equal to three consecutive discounts of 10%, 12% and 5% is [SSC (CGL) 2011] |
A) 26.27%
B) 24.76%
C) 9%
D) 11%
Correct Answer: B
Solution :
| Let the amount be Rs. 100. |
| Case I \[100-10\]% of \[100=100-\frac{10\times 100}{100}=90\] |
| Case II \[90-12\]% of 90 |
| \[=90-\frac{90\times 12}{100}=90-10.8=79.2\] |
| Case III 79.2-5% of \[79.2-\frac{79.2\times 5}{100}\] |
| \[=79.2-\frac{396}{100}=79.20-3.96=75.24\] |
| Entire discount \[=100-75.24=24.76\] |
| In per cent \[=\frac{24.76\times 100}{100}=24.76\]% |
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