Question

A trader professes to sell his goods at a loss of 8% but weights 900 grams in place of a kg weight. Find his real loss or gain per cent.

Answer 1

100-8(1000÷900)
92×10/9
920÷9
102.2
102.2-100
2.0

Answer 2

Answer:

The profit percentage is 2.22%.

Step-by-step explanation:

Given : A trader professes to sell his goods at a loss of 8% but weights 900 grams in place of a kg weight.

To Find : His real loss or gain per cent?

Solution :

The trader professes to sell his goods at a loss of 8%.

Selling Price = (100 - 8)%=92% of Cost Price

or SP = 0.92CP

But, when he uses weights that measure only 900 grams while he claims to measure 1 kg.

CP of 900 gms = 0.90CP

So, he is selling goods worth 0.90CP at 0.92CP

He makes a profit of 0.02 CP on his cost of 0.9 CP

$P\%=\frac{SP-CP}{CP}\times100$

$P\%=\frac{0.92-0.9}{0.9}\times 100$

$P\%=0.022\times100=2.22\%$

Therefore, The profit percentage is 2.22%.