Oranges are purchased at the rate of 7 oranges for Rs. 3. At what price one hundred oranges should be sold so that the profit is 33%?

1. Find the Cost Price (CP) of 1 orange:
CP of 7 oranges=Rs. 3⟹CP of 1 orange=Rs. 
7
3
​

Find the Cost Price (CP) of 100 oranges:

CP of 100 oranges=100×
7
3
​
=Rs. 
7
300
​

Calculate the Selling Price (SP) for a 33% profit:

SP=CP×(1+
100
Profit Percentage
​
)
SP=
7
300
​
×(1+
100
33
​
)=
7
300
​
×
100
133
​

SP=
7
3×133
​

Simplify the calculation:
Notice that 133÷7=19.

SP=3×19=Rs. 57
Therefore, 100 oranges should be sold for Rs. 57.