A basket contains 40 mangoes, out of which 8 are rotten. Find the percentage of the mangoes that are in good condition.

[tex]\[
\begin{array}{l}
\text{Number of good mangoes} = 40 - 8 = 32 \\
\text{Percentage of good mangoes} = \left( \frac{32}{40} \right) \times 100 = 80\%
\end{array}
\][/tex]



Answer :

To find the percentage of mangoes that are in good condition in a basket containing 40 mangoes, where 8 of them are rotten, follow these detailed steps:

1. Determine the Total Number of Mangoes:
- The basket contains a total of 40 mangoes.

2. Identify the Number of Rotten Mangoes:
- Out of the 40 mangoes, 8 are rotten.

3. Calculate the Number of Good Mangoes:
- To find the number of good mangoes, subtract the number of rotten mangoes from the total number of mangoes.
- Number of good mangoes = Total mangoes - Rotten mangoes
- Number of good mangoes = 40 - 8

So, the number of good mangoes is 32.

4. Calculate the Percentage of Good Mangoes:
- To find the percentage of good mangoes, divide the number of good mangoes by the total number of mangoes and then multiply by 100.
- Percentage of good mangoes = \(\left(\frac{\text{Number of good mangoes}}{\text{Total number of mangoes}}\right) \times 100\)
- Percentage of good mangoes = \(\left(\frac{32}{40}\right) \times 100\)

5. Perform the Calculation:
- First, divide 32 by 40, which gives 0.8.
- Then, multiply 0.8 by 100 to convert it into a percentage.
- Percentage of good mangoes = 0.8 \(\times\) 100 = 80%

Therefore, the percentage of the mangoes that are in good condition is 80%.