| A single discount equivalent to a discount series of 30%, 20% and 10% is [SSC (CGL) 2014] |
A) 50.4%
B) 49.6%
C) 49.4%
D) 51%
Correct Answer: B
Solution :
| Let Rs. 100 be amount on which the given discount to be applied. |
| Then, 30% discount on |
| \[100=\frac{(100-30)}{100}\times 100=70\] |
| Now, 20% discount on \[70=\frac{(100-20)}{100}\times 70\] |
| \[=\frac{80}{100}\times 70=56\] |
| Again, 10% discount on \[56=\frac{100-10}{100}\times 56\] |
| \[=\frac{90}{100}\times 56=9\times 5.6=50.4\] |
| \[\therefore \]Single discount \[=100-50.4=49.6\]% |
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