Question

the SP of 4 dozen oranges in the same as the CP of 5 dozen oranges find the gain percent​

Answer 1

Given:

SP of 4 dozen oranges in the same as the CP of 5 dozen oranges.

To find:

The gain percent​.

Solution:

According to the question,

$SP\times 4=CP\times 5$

$\dfrac{SP}{CP}=\dfrac{5}{4}$

$SP:CP=5:4$

Let the selling price (SP) be 5x and cost price (CP) is 4x.

The gain percent is

$Gain\%=\dfrac{SP-CP}{CP}\times 100$

$Gain\%=\dfrac{5x-4x}{4x}\times 100$

$Gain\%=\dfrac{x}{4x}\times 100$

$Gain\%=\dfrac{1}{4}\times 100$

$Gain\%=25\%$

Therefore, the grain percent is 25%.

Answer 2

Answer:

SP of 4 dozen oranges in the same as the CP of 5 dozen oranges.

To find:

The gain percent.

Solution:

According to the question,

SP\times 4=CP\times 5SP×4=CP×5

\dfrac{SP}{CP}=\dfrac{5}{4}

CP

SP

=

4

5

SP:CP=5:4SP:CP=5:4

Let the selling price (SP) be 5x and cost price (CP) is 4x.

The gain percent is

Gain\%=\dfrac{SP-CP}{CP}\times 100Gain%=

CP

SP−CP

×100

Gain\%=\dfrac{5x-4x}{4x}\times 100Gain%=

4x

5x−4x

×100

Gain\%=\dfrac{x}{4x}\times 100Gain%=

4x

x

×100

Gain\%=\dfrac{1}{4}\times 100Gain%=

4

1

×100

Gain\%=25\%Gain%=25%

Therefore, the grain percent is 25%.