Question

If two article sold at 4752 each on one the seller gain 32% and on the other he loses 28%what is his overall gain or loss percentage

Answer 1

The seller incurs a loss of 10.35% overall.

• Two articles are sold at Rs. 4752 each.

• On one the seller gains 32% and on one 28% .
• We have to find the overall gain or loss percentage.
• Let us assume the cost price of first be $x_1$ and other be $x_2$.
• We have to calculate the profit and loss on the articles.
• Profit percentage = $\frac{4752-x_1}{x_1}$ × 100 = 32

$4752-x_1 = 0.32x_1$

4752 = $1.32x_1$

$x_1$ = 4752/1.32 = 3600 Rs.

• Therefore cost price of the article where the seller gains 32% is Rs. 3600.
• Loss percentage = $\frac{x_2-4752}{x_2}$ × 100 = 28

$x_2-4752$  = $0.28x_2$

$0.72x_2$  = 4752

$x_2$ = Rs. 6600

• Therefore cost price of the article where the seller loses 28% is Rs. 6600.
• Now we have to calculate the net profit or loss percentage, we find the total cost price of two articles,
• Total cost price = 6600 + 3600 = 10200 Rs.

• Now ,Profit on article 1 - Loss on article 2 = Net gain

(4572-3600) - (6600-4752) = Net gain

Net gain = 972 - 2028 = -1056

• Therefore the seller gains a loss of 1056 Rs. total on both products.

• Now net loss percentage = $\frac{Net \ loss}{total \ cost \ price}$ × 100  

Net loss percentage = $\frac{1056}{10200}$ × 100 = 10.35%