Question

2. If a costing Rs. 45,000 is sold at a discount of 20%.
Write the formula to find discount percent. Discount MP

(b) Find the discount [1] [Ans: Rs. 9,000.

(c) If the laptop is sold at a loss of 10%, find the cost price.

Answer 1

Answer:

a) Formula: $\textsf{Discount \%} = \dfrac{\textsf{Discount}}{\textsf{Marked Price}} \times 100\%$

b) Discount: Rs 9,000

c) cost price: Rs. 40,000

Step-by-step explanation:

(a) The formula to find the discount percentage ($\textsf{Discount }\%$) is:

$\textsf{Discount \%} = \dfrac{\textsf{Discount}}{\textsf{Marked Price}} \times 100\%$

Where:

• $\textsf{Discount}$ is the amount of discount,
• $\textsf{Marked Price}$ is the original price of the item.

(b) To find the discount, we can use the formula:

$\textsf{Discount} = \textsf{Marked Price} \times \textsf{Discount \%}$

Given:

• Marked Price ($MP$) = Rs. 45,000
• Discount Percentage ($\textsf{Discount \%}$) = 20%

Substitute the values into the formula:

$\textsf{Discount} = 45000 \times \dfrac{20}{100} \\\\= 45000 \times 0.20 \\\\= Rs. 9,000$

So, the discount is Rs. 9,000.

(c) If the laptop is sold at a loss of 10%, we need to find the cost price.

Let the cost price be $CP$.

Given that the selling price is the price at which the item was sold after a discount, the selling price is:

$\textsf{Selling Price} = \textsf{Marked Price} - \textsf{Discount}$

$\sf \textsf{Selling Price} =\sf Rs 45,000 - 9,000 \\\\ =\sf Rs 3600$

Now, to find the cost, we can use formula:

$\sf CP = SP + loss\% \, of \, CP$

$\sf CP- loss\% \, of \, CP = SP$

Substitute the values:

$\sf CP (1-10\%) = 36000$

$\sf CP \left(1-\dfrac{10}{100}\right) = 36000$

$\sf CP \times \dfrac{90}{100}=36000$

$\sf CP \times 0.90 = 36000$

$\sf CP = \dfrac{36000}{0.90}$

$\sf CP = 40000$

So, the cost price of the laptop is Rs. 40,000.