Answer

Verified

414.3k+ views

**Hint:**We start solving problems by assuming a cost price for 1 kg of goods. We use this cost price to find the cost price of 840gm of goods. Now, we apply a discount on the cost price of 1 kg goods. Now, this new cost price for 1 kg goods will be the new selling price for 840 gm goods. So, we subtract the cost price of 840 gm goods from the new selling price of 840 gm goods to get profit/loss. Once we find the profit/loss we convert them to percentage.

**Complete step by step answer:**

Given that the seller uses 840 grams in place of 1 kg to sell his goods. He gives 4% discount to the customers for 1 kg of his goods. We need to find the percentage of profit/ loss incurred to the seller.

Let us assume the cost price of 1 kg of goods is Rs. X $\left( X > 0 \right)$. This makes the actual cost price of 840 gm goods as Rs. 0.84X.

Seller is giving a 4% discount on 1kg goods.

So, the new cost price of 1 kg of goods is “96% of Rs. X”.

New cost price of 1 kg of goods is $\dfrac{96}{100}\times X$.

New cost price of 1 kg of goods is Rs. 0.96X.

But he is selling 840 gm by telling that the goods are of 1 kg.

Now, we check the difference between selling price and cost price.

Selling price – cost price = Rs. 0.96X – Rs.0.84X.

Selling price – cost price = Rs. 0.12X.

Here we got the value of selling price – cost price >0, which means that the seller is making the profit.

We know that profit = selling price – cost price.

So, selling is making profit Rs. 0.12X. Now, we find the percentage of profit.

We know that the percentage of profit is defined as $\text{ }\!\!\%\!\!\text{ profit=}\dfrac{\text{profit}}{\text{cost price}}\text{ }\!\!\times\!\!\text{ 100}$.

$\%profit=\dfrac{0.12X}{0.84X}\times 100$.

$\%profit=\dfrac{100}{7}\%$.

**∴ The percentage of profit made by seller is $\dfrac{100}{7}\%$.**

**Note:**We should not take the value Rs. 0.96X as the cost price for 1 kg of goods as he is selling only 840 gm. We always find % profit/loss with respect to the actual cost price which is Rs.0.84X. Mistakes may happen by multiplying 4% directly to the cost price of 840gms. We should remember that he is not telling customers that he is selling 840 gm instead of 1 kg.

Recently Updated Pages

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

How do you find the general solution to dfracdydx class 12 maths CBSE

Trending doubts

The provincial president of the constituent assembly class 11 social science CBSE

Gersoppa waterfall is located in AGuyana BUganda C class 9 social science CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The hundru falls is in A Chota Nagpur Plateau B Calcutta class 8 social science CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE