Question

Ahmed purchased 100 hens for 8000. He sold 20 of them at a profit of 5%. For how much
gain percent
should he sell the rest of hens so that he may make a profit of 20% on the whole transaction.​

Answer 1

Question:

Ahmed purchased 100 hens for 8000. He sold 20 of them at a profit of 5%. For how much gain percent should he sell the rest of hens so that he may make a profit of 20% on the whole transaction.

Solution:

Step 1 :

It is given that , Ahmed purchased 100 hens for Rs. 8000.

So , let's find the cost of 1 hen ,

So , the cost of 1 hen is,

$\implies \frac{8000}{100} = 80$

So , the cost of 1 hen will be Rs. 80

Step 2:

It is given that , Gain of 5% on Rs. 80 ,

which is

$1.05(\%) \: \times 80 = 84$

Therefore , he sold 20 hens at Rs. 84.

Total ruppes he got ,

$\implies \: 20 \times 84 = 1680$

Therefore , by selling 20 hens , he got Rs. 1680

Step 3 :

It is been asked , that we need total on 20% gain on Rs. 8000

$\implies \: (1.2) \times (8000) = 9600$

Therefore , the total on 20% gain on Rs. 8000 is 9600.

Step 4 :

Now ,

We need , to find total on the last 80 hens,

which is ,

$\implies \: 9600 - 1680 = 7920$

Therefore, the total on last 80 hens is 7920.

Here , you originally paid (80) × (80) = 6400 for those hens.

Step 5 :

We need to divide,

$\frac{total \: on \: last \: hens \: }{ \: originally \: paid \: for \: hens \: }$

$\implies \: \frac{7920}{6400} = 1.2375 = 23.75\%$

Hence, Ahmed need 23.75% gain on the remaining hens.