Question

Mohan bought two shirts for 550 each. He sold one at a loss of 20% and the other at
a gain of 12%. Find his gain or loss per cent in the whole transaction.​

Answer 1

Question:

Mohan bought two shirts for 550 each. He sold one at a loss of 20% and the other at a gain of 12%. Find his gain or loss per cent in the whole transaction.

Given:

Cost of each shirt= 550

Total shirt = 2

Total price= 550 x 2 = 1100

One sold at loss of 20%

And other sold at gain of 12%

Solution:

Case 1

He sold one shirt at loss of 20% which is to be evaluated as follows:

20% of 550

$\sf =\frac{20}{100} \times 550 \mapsto \frac{\cancel{20}}{\cancel{100}} \times 550 \\\\\sf \frac{1}{5} \times 550 \mapsto \frac{1}{\cancel{5}} \times \cancel{550} = 110$

Hence, Total loss=110

Case 2

Other shirt was sold at gain of 12% which is to be evaluated as follows:

12 % of 550

$\sf =\frac{12}{100} \times 550 \mapsto \frac{\cancel{12}}{\cancel{100}} \times 550 \\\\\sf \frac{3}{25} \times 550 \mapsto \frac{1}{\cancel{5}} \times \cancel{550} = 3 \times 22 = 66$

Hence, Total gain= 66

Here, loss > gain

Hence, Total loss= 110-66= 44

Now,loss % :

$\sf = \frac{Total~loss \times 100}{Total cost} \\\\\sf \mapsto \frac{44 \times 100}{1100} \mapsto \frac{44 \times \cancel{100}}{11 \cancel{00}} \\\\\sf \mapsto \frac{\cancel{44}~4}{\cancel{11}} = 4 \%$

Therefore, loss percent in total transaction is 4%.

Answer 2

Answer:

4%

I HAVE NOT BEEN SO MUCH TIME FOR WRITING THIS WHOLE ANSWER SORRY. AND PLEASE MAKE ME BRIANLIST