Question

Three successive discounts of $6\%,10\%,15\%$ is equal to a single discount of:

• A. $25\%$
• B. $28.90\%$
• C. $28.09\%$
• D. $30\%$

Answer 1

The correct option is C

$28.09\%$

Let Rs.$100$ be the price.
$Thesalepriceafter3successivediscounts=Price\times (1–x/100)(1–y/100)(1–z/100)$
Here, $x=6\%$, $y=10\%$ and $z=15\%$.
$=100\times [1–(6/100\left)\right]\times [1–(10/100\left)\right]\times [1–(15/100\left)\right]$

$=100\times (94/100)\times (90/100)\times (85/100)$

$=71.91$
To get the require discount, we need to subtract $71.91$ from 100, i.e.

$100–71.91=28.09.$
Therefore, $3$ successive discounts of $6\%,10\%,15\%$ is equal to a single discount of $28.09\%$.