A shopkeeper marks a saree 20% above the cost price and allows a discount to the purchases of 10%. What profit percent does he make.a)18b)12c)10d)8e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Accepted Answer

Given:

Marked price = 20% above the cost price

Discount = 10%

Formula used:

S.P. = [(100 - Discount%)/100] × C.P.

Gain% = [(S.P. - C.P.)/C.P.] × 100

Where, C.P. = Cost price; S.P. = Selling price

Calculation:

Let, the cost price = Rs. 100

So, the marked price = 100 + (20% of 100) = Rs. 120

Then, the selling price = 120 × (90/100) = 108

Gain percentage = [(108 - 100)/100] × 100 = 8%

∴ The profit percentage is 8%

Answer

Let CP = 100,
Marked 20% on CP, so Marked price = 120

Discount % = 10 %
Discount price = 120x10/100 = 12

SP=Marked Price - Discount price =120-12

Profit% = SP-CP/100 = 8x100/100 = 8%

Answer

Given:
- The shopkeeper marks a saree 20% above the cost price.
- The shopkeeper allows a discount of 10% to the purchases.

To find: Profit percentage made by the shopkeeper.

Solution:
Let the cost price of the saree be Rs.100.
Marked price = Cost price + 20% of cost price = 100 + 20 = Rs.120
Discount = 10% of marked price = 10% of 120 = Rs.12
Selling price = Marked price - Discount = 120 - 12 = Rs.108
Profit = Selling price - Cost price = 108 - 100 = Rs.8

Therefore, profit percentage = (Profit / Cost price) x 100
= (8 / 100) x 100
= 8%

Hence, the correct answer is option D) 8.

Answer

Profit percentage calculation:

To calculate the profit percentage, we need to find the profit made on the saree and then express it as a percentage of the cost price.

Let's assume the cost price of the saree is x.

Markup price:

The shopkeeper marks the saree 20% above the cost price. So, the markup price is the cost price plus 20% of the cost price.

Markup price = x + (20/100) * x = x + 0.2x = 1.2x

Discount:

The shopkeeper allows a discount of 10% to the customers. So, the discount amount is 10% of the markup price.

Discount amount = (10/100) * 1.2x = 0.12x

Selling price:

The selling price is the markup price minus the discount amount.

Selling price = 1.2x - 0.12x = 1.08x

Profit:

The profit is the difference between the selling price and the cost price.

Profit = Selling price - Cost price = 1.08x - x = 0.08x

Profit percentage:

To express the profit as a percentage of the cost price, we divide the profit by the cost price and multiply by 100.

Profit percentage = (Profit / Cost price) * 100 = (0.08x / x) * 100 = 8%

Therefore, the correct answer is option D) 8%. The shopkeeper makes an 8% profit on the saree.

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