Question

A loaf of bread originally priced at $\$ 3.49$ has been discounted $10\% $.How much is it?

Answer 1

Hint: In order to determine the price of the loaf bread after applying the discount of $10\% $, we will be using formula of percent change which says $P = \dfrac{{N - O}}{O} \times 100$. Now substituting $P = - 10\% ,O = \$ 3.49$, into the formula and solving further by multiplying $\dfrac{{3.49}}{{100}}$ on both the side of the equation, you will get your required new price of the loaf of bread.

Formula used:
$P = \dfrac{{N - O}}{O} \times 100$
Where, P is the change in percent, N is the New price, O is the Old price or Original price.

Complete step by step answer:
We are given the old price of the loaf, or in other words the price before there is no discount is applied i.e. $\$ 3.49$.
According to our question, it says that now on the old price/original price a discount of $10\% $ is going to be applied, so find out the new price after the discount.
So to find the new Price, we are going to use the formula of percent change
$P = \dfrac{{N - O}}{O} \times 100$
Where, P is the change in percent, N is the New price, O is the Old price or Original price.
ATQ, $P = - 10\% ,O = \$ 3.49$

Now substituting these values into our formula, we get
$
\Rightarrow P = \dfrac{{N - O}}{O} \times 100 \\
\Rightarrow - 10 = \dfrac{{N - 3.49}}{{3.49}} \times 100 \\
 $
Multiplying both sides by $\dfrac{{3.49}}{{100}}$
$
\Rightarrow - 10\left( {\dfrac{{3.49}}{{100}}} \right) = \dfrac{{N - 3.49}}{{3.49}} \times 100 \Rightarrow \times \left( {\dfrac{{3.49}}{{100}}} \right) \\
\Rightarrow - 0.349 = N - 3.49 \\
 $
Combining like term by Transposing all the constants term from right hand side to left hand side
$
\Rightarrow 3.49 - 0.349 = N \\
\Rightarrow N = 3.141 \\
 $
New Price(N)= $\$ 3.141$

Therefore, New price after the discount of $10\% $is equal to $\$ 3.141$.

Note: 1.Don’t forgot to cross check your result.
2. Any number raised to the power of ‘1’ is always equal to the number itself.
3. Any number raised to the power of ‘0’ is always equal to the number ‘1’ .
4. Discount sign is taken as negative because it decreases the original value.