M.P. = ₹ 1700, S.P. = ₹ 1540; Discount =?

Discount = M.P. - S.P. = ₹ (1700 - 1540) = ₹ 160

Answer is : The discount is ₹ 160.

M.P. =₹ 990; Discount = 10%; S.P. =?

Let the discount given be ₹ x

\(\frac{Discount}{Marked\,Price}\) = \(\frac{Discount%}{100}\)

\(\frac{x}{990}\) = \(\frac{10}{100}\)

∴ x = \(\frac{10×990}{100}\)  = ₹ 99

S.P. = M.P. - Discount

= ₹ (990 - 99) = ₹ 891

Answer is : The selling price is ₹ 891.

Let the M.P. (marked price) be ₹ 100.

Discount = 20%. discount = ₹ 20.

∴ S.P. = M.P. – discount = ₹ (100 - 20) = ₹ 80.

If the selling price is ₹ 80, the marked price is ₹ 100. Let us assume that the M.P. is ₹ x,

 (i) Given Information:

• Marked Price (M.P.) = Rs. 3000
• Percentage of Discount = 12%

(ii) Calculate the Total Discount:

Total Discount = M.P. × \(\frac{Discount%}{100}\) = 3000 × \(\frac{12}{100}\) = Rs. 360

 (iii) Calculate the Selling Price:

The selling price is found by subtracting the discount from the marked price: Selling Price = Marked Price – Discount = 3000 – 360 = 2640

Final Answer:

• The total discount is Rs. 360.
• The selling price of the fan is Rs. 2640.

(i) Given Information:

• Marked Price = Rs. 2300
• Selling Price = Rs. 1955

(ii) Calculate the Discount Amount:

Discount = Marked Price - Selling Price = 2300 – 1955 = Rs. 345

(iii) Calculate the Percentage of Discount:

Let the percentage of discount be x

\(\frac{Discount}{Marked\,Price}\) = \(\frac{Discount%}{100}\)

\(\frac{345}{2300}\) = \(\frac{x}{100}\)

∴ x = \(\frac{345×100}{2300}\) = 15

Final Answer: The percentage of discount offered to the customer is 15%.

(i) Given Information:

• Percentage of Discount = 11%
• Selling Price (amount paid by the customer) = Rs. 22,250

(ii) Assume a base price:

 Suppose the marked price of the television set was Rs. 100.

Since the discount is 11%, the customer would get it for 100 - 11 = 89 rupees. This means if the selling price is Rs. 89, the marked price is Rs. 100.

Let x be the actual marked price of the television set.

(iii) Solve for x:

\(\frac{Selling\,Price}{Marked\,Price}\) = \(\frac{89}{100}\)

 \(\frac{22250}{x}\) = \(\frac{89}{100}\)

∴ x =  \(\frac{22250×100}{89}\) = 250 × 100 = 25000

Final Answer: The marked price of the television set is Rs. 25,000.

Suppose, marked price of the item = 100 rupees

Therefore, for customer that item costs [100] – [10] = 90 rupees

Hence, when the discount is [₹ 10] then the selling price is [₹ 90] rupees.

Suppose when the discount is [₹ 17] rupees, the selling price is x rupees.

∴ \(\frac{x}{[90]}\) = \(\frac{[17]}{[10]}\) ∴ x = \(\frac{[17]×[90]}{[10]}\) = [153]

∴ the customer will get the item for 153 rupees.

 Let the decided price be Rs. 100.

The shopkeeper increases the decided price by 25% to set the marked price.

• Increase = 25% of 100 = Rs. 25
• Marked Price = 100 + 25 = Rs. 125

 The shopkeeper offers a 20% discount on the marked price.

• Discount = 20% of 125
• Discount = \(\frac{20}{100}\) × 125
• Discount = \(\frac{1}{5}\) × 125 = Rs. 25

The selling price = M.P. - Discount.

• Selling Price = 125 – 25 = Rs. 100

Determine the percentage difference:

• Decided Price = Rs. 100
• Selling Price = Rs. 100

Since the selling price is exactly equal to the decided price, the shopkeeper gets 0% more or less on the decided price.

Selling price of books = [4500], Rate of commission = [15]

Commission obtained = \(\frac{[15]}{[100]}\) × [4500] ∴ Commission = [675] rupees

(i) Given Information:

• Total value of flowers sold (Selling Price): Rs. 15,000
• Rate of commission: 4%

(ii) Calculate the Commission Paid:

Commission = Selling Price × Percentage commission

= 15,000 × \(\frac{4}{100}\)  = 150 × 4 = 600

Commission = Rs. 600

(iii) Calculate the Amount Received by Rafique:

Amount Received = Selling Price – Commission = 15,000 – 600 = 14400

Amount Received = Rs. 14,400

Final Answer:

• The commission Rafique paid is Rs. 600.
• The total amount received by Rafique is Rs. 14,400.

(i) Given Information:

• Selling Price of foodgrains: Rs. 9200
• Rate of commission: 2%

(ii) Calculate the Commission:

Commission = Selling Price × Percentage commission

= 9200 × \(\frac{2}{100}\)  = 92 × 2 = 184

Commission = Rs. 184

Final Answer: The agent received Rs. 184 for the transaction.

(i) Calculate the total cost of items purchased:

• Cost of 3 sarees = 3 × 560 = Rs. 1680
• Cost of 6 bottles of honey = 6 × 90 = \ Rs. 540
• Total Cost Price = 1680 + 540 = Rs. 2220

(ii) Calculate the total rebate:

A rebate is a type of discount often given by organizations like Khadi-Gramodyog on special occasions.

• Rebate Percentage = 12%
• Rebate Amount = \(\frac{12}{100}\)  × 2220 = 12 × 22.2 = Rs. 266.40

(iii) Calculate the total amount paid: The amount to be paid is the total cost minus the rebate amount:

• Total Amount Paid = 2220 - 266.40 = Rs. 1953.60

Final Answer: Umatai paid a total of Rs. 1953.60.

(1) Smt. Deepanjali paid [750000] × \(\frac{[2]}{[100]}\)  = ₹ [15000]  brokerage for purchasing the house.

(2) Smt. Leelaben paid brokerage of ₹ [15,000].

(3) Total brokerage received by the agent is ₹ [30,000].

(4) The cost of house Smt. Deepanjali paid is ₹ [7,65,000].

(5) The selling price of house for Smt. Leelaben is ₹ [7,35,000].

Explanation :

(2) Brokerage is the same from both.

(4) The cost of house = purchase price + brokerage

(5) The selling price of house = price of house - brokerage