Question

A shopkeeper sells a bike 40% profit after allowing 16%discount . If the profit earned is 8000 more than the discount allowed on the bike,then find the cost price of the bike ?​

Answer 1

$\Large{\textsf{\textbf{\underline{\underline{∴ Cost price of the bike = Rs 60,000\::}}}}}$

Step-by-step explanation:

Given that:

• A shopkeeper sells a bike at 40% profit after allowing 16% discount.
• If the profit earned is Rs.8,000 more than the discount allowed on the bike.

To Find:

• The cost price of the bike.

Let us assume:

• The cost price of the bike be x.

Formula used:

1. SP = {(100 + profit%) × CP}/100
2. Profit = SP - CP
3. MP = (SP × 100)/(100 + Discount%)
4. Discount = MP - SP

Where,

• SP = Selling price
• CP = Cost price
• MP = Marked price

Finding the selling price:

⇒ SP = {(100 + 40) × x}/100

⇒ SP = {(140) × x}/100

⇒ SP = 140x/100

⇒ SP = 1.4x

∴ Selling price = 1.4x

Finding the profit:

⇒ Profit = 1.4x - x

⇒ Profit = 0.4x

∴ Profit = 0.4x

Finding the marked price:

⇒ MP = (1.4x × 100)/(100 - 16)

⇒ MP = 140x/84

⇒ MP = 5x/3

∴ Marked price = 5x/3

Finding the discount:

⇒ Discount = 5x/3 - 1.4x

⇒ Discount = (5x - 4.2x)/3

⇒ Discount = 0.8x/3

∴ Discount = 0.8x/3

Finding the cost price the bike:

According to the question.

Profit earned = Discount allowed + Rs 8000

⟶ 0.4x = 0.8x/3 + 8000

⟶ 0.4x - 0.8x/3 = 8000

⟶ (1.2x - 0.8x)/3 = 8000

⟶ 0.4x/3 = 8000

⟶ 0.4x = 8000 × 3

⟶ 0.4x = 24000

⟶ x = 24000/0.4

⟶ x = 60000

$\small{\textsf{\textbf{\underline{\underline{∴ Cost price of the bike = Rs 60,000\::}}}}}$

Answer 2

Answer:

Step-by-step explanation: