What is the discount allowed on a product of its selling price is 3500 and the discount given is $40?

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Discount or Percent-off Calculator
1) What is 40 percent (%) off $3500?
2) How much to pay for an item of $3500 when discounted 40 percent (%)? What is item's sale price?
3) 1400 is what percent off $3500?
Calculate Discount from List Price and Sale Price
Calculate Sale Price from List Price and Discount
Calculate List Price from Discount and Sale Price
Sample Discount Percentage Calculation

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Answer

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Hint: Assume the original cost price as x and the selling price including GST as y. Now, in the first step find the net marked price by including the GST of Rs. 3500 in it. To do this add 3500 and 12% of 3500. In the next step consider the discount of 20% on this overall price obtained to get the selling price and therefore the value of y. Now, use the formula profit% = $\left( \dfrac{y-x}{x} \right)\times 100\%$ and substitute the obtained value of y and given profit% to calculate the value of x.

Complete step by step solution:

Here we have been provided with the marked price of an article with the rate of GST as 12% and we are asked to find the original cost price and the selling price including the GST if the discount provided by the shopkeeper is 20% and he is making a profit of 10%.Let us assume the original cost price as x and the selling price including GST as y. Now, the marked price including the GST will be the sum of Rs. 3500 and 12% of Rs. 3500. So we have,$\Rightarrow $ Net price of the article = $3500+\left( \dfrac{12}{100}\times 3500 \right)$$\Rightarrow $ Net price of the article = Rs. 3920Considering the discount of 20% provided by the shopkeeper on this net price we get the selling price of the article including the GST, so we get,$\begin{align} & \Rightarrow y=3920-\dfrac{20}{100}\times 3920 \\ & \Rightarrow y=3920-\dfrac{1}{5}\times 3920 \\ \end{align}$$\Rightarrow $ y = Rs. 3136Therefore the selling price including the GST is Rs. 3136.Now, it is given that the shopkeeper makes a profit of 10% on this selling price. We know that the profit% = $\dfrac{\text{profit}}{\text{cost price}}\times 100\%$ where profit = selling price – cost price, so substituting the obtained and the given values we get,$\begin{align} & \Rightarrow 10\%=\dfrac{y-x}{x}\times 100\% \\ & \Rightarrow \dfrac{1}{10}=\dfrac{3136}{x}-1 \\ & \Rightarrow \dfrac{1}{10}+1=\dfrac{3136}{x} \\ \end{align}$On simplifying we get,$\Rightarrow x=3136\times \dfrac{10}{11}$$\Rightarrow $ x = Rs. 2850.9

Therefore, the original cost price is nearly Rs. 2851.

Note: You must remember the formulas of profit% and loss% as they are frequently used in the topics of profit and loss. In both the formulas we consider the cost price in the denominator because profit and loss is considered on the cost price and not on the selling price. However the numerator is different in both the cases, in case of profit it is (selling price – cost price) while in case of loss it is (cost price – selling price).

An item that costs $3500, when discounted 40 percent, will cost $2100

The easiest way of calculating discount is, in this case, to multiply the normal price $3500 by 40 then divide it by one hundred. So, the discount is equal to $1400. To calculate the sales price, simply deduct the discount of $1400 from the original price $3500 then get $2100 as the sales price.

Discount or Percent-off Calculator

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To calculate percent off use the following equations:

(1) Amount Saved = Original Price x Discount % / 100

(2) Sale Price = Original Price - Amount Saved

Here are the solutions to the questions stated above:

1) What is 40 percent (%) off $3500?

Using the formula one and replacing the given values:

Amount Saved = Original Price x Discount % / 100. So,

Amount Saved = 3500 x 40 / 100

Amount Saved = 140000 / 100

Amount Saved = $1400 (answer)

In other words, a 40% discount for an item with original price of $3500 is equal to $1400 (Amount Saved).

Note that to find the amount saved, just multiply it by the percentage and divide by 100.

Supose Have you received a ROBLOX promotional code of 40 percent of discount. If the price is $3500 what is the sales price:

2) How much to pay for an item of $3500 when discounted 40 percent (%)? What is item's sale price?

Using the formula two and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 3500 - 1400

Sale Price = $2100 (answer)

This means, the cost of the item to you is $2100.

You will pay $2100 for an item with original price of $3500 when discounted 40%. In other words, if you buy an item at $3500 with 40% discounts, you pay $3500 - 1400 = $2100

Supose Have you received a amazon promo code of 1400. If the price is $3500 what was the amount saved in percent:

3) 1400 is what percent off $3500?

Using the formula two and replacing the given values:

Amount Saved = Original Price x Discount % /100. So,

1400 = 3500 x Discount % / 100

1400 / 3500 = Discount % /100

100 x 1400 / 3500 = Discount %

140000 / 3500 = Discount %, or

Discount % = 40 (answer)

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Calculate the list price, discount percentage or sale price given the other two values. You will also find the discount savings amount.

Calculate Discount from List Price and Sale Price

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

$D = \dfrac{(L - S)}{L} \times 100 $

Where:

L = List Price
S = Sale Price
D = Discount percentage

Example

If the list price of an item is $120 and the final sale price is $90 then discount is calculated as follows:

$D = \dfrac{(L - S)}{L} \times 100 $

$D = \dfrac{(120 - 90)}{120} \times 100 $

$D = \dfrac{30}{120} \times 100 $

$\text{Amount Saved} = $120 - $90 = $30 $

Calculate Sale Price from List Price and Discount

The sale price is the list price minus the product of the discount divided by 100 and multiplied by the list price.

$S = L - \dfrac{D}{100} \times L $

Example

If the list price of an item is $120 and discount is 75% then the final sale price is calculated as follows:

$S = L - \dfrac{D}{100} \times L $

$S = 120 - \dfrac{75\%}{100} \times 120 $

$S = 120 - 0.75 \times 120 $

$\text{Amount Saved} = $120 - $30 = $90 $

Calculate List Price from Discount and Sale Price

The list price is the sale price divided by the difference of 1 minus the result of discount divided by 100.

$L = \dfrac{S}{(1 - \dfrac{D}{100})} $

Example

If the sale price of an item is $40 and the discount is 20% then the list price is calculated as follows:

$L = \dfrac{S}{(1 - \dfrac{D}{100})} $

$L = \dfrac{40}{(1 - \dfrac{20\%}{100})} $

$L = \dfrac{40}{(1 - 0.20)} $

$L = \dfrac{40}{0.80} $

$\text{Amount Saved} = $50 - $40 = $10 $

Sample Discount Percentage Calculation

James bought a vintage lava lamp at a sale price of $89.63. The original price was $165.99. What was the percentage discount on the original price of the lava lamp?

Using the formula above, list price = L = 165.99, and price sale = P = 89.63.

$ \dfrac{(165.99 - 89.63)}{165.99} \times 100 = 46 $

James got a 46% discount on the lava lamp.