Given:
In a fruit shop 20 percentage of mangoes are rotten.
The number rotten mangoes is 35.
To find:
The total number of mangoes.
Solution:
Let x be the number of total mangoes.
It is given that 20% of mangoes are rotten. So, the number of rotten mangoes is 20% of x.
![(20)/(100)* x=(1)/(5)x](https://img.qammunity.org/2022/formulas/mathematics/high-school/euw3wlm8xnvest81wzwut96w7tzoky92uz.png)
The number rotten mangoes is 35. So,
![(1)/(5)x=35](https://img.qammunity.org/2022/formulas/mathematics/high-school/qdpgnxd3wwqurbepuda533y44zq4wp922c.png)
![x=5* 35](https://img.qammunity.org/2022/formulas/mathematics/high-school/q7fz2tq13yqvr5gf4noytgt2tc9yrlhykz.png)
![x=175](https://img.qammunity.org/2022/formulas/mathematics/high-school/inys5o2087pqna69ll3c1v9s8o9kncz365.png)
Therefore, the number of total mangoes is 175.