Question

By selling a bicycle for ₹13,000, a man gains of its cost price. 1/4 of its cost price
Find the cost price.

Answer 1

Answer:

• The cost price of a bicycle is ₹ 10,400.

Step-by-step explanation:

Given that:

• Selling price of a bicycle = ₹ 13,000
• Gain = 1/4 of its cost price

To Find:

• The cost price of a bicycle.

Let us assume:

• The cost price of a bicycle be x.

• Gain = 1/4 of x
• Gain = x/4

We know that:

• Selling price = Cost price + Gain

Finding the cost price of a bicycle:

⟶ 13000 = x + x/4

⟶ 13000 = (4x + x)/4

⟶ 13000 = 5x/4

⟶ 5x = 13000 × 4

⟶ 5x = 52000

⟶ x = 52000/5

⟶ x = 10400

∴ The cost price of a bicycle = ₹ 10,400

Answer 2

Answer:

• ₹ 10,400

Step-by-step explanation:

Given

• Selling price of a bicycle = ₹ 13,000
• Gain/Profit made = 1/4 of the cost price

To find

• Cost price of the bicycle.

Solution

We are given with the S.P of a bicycle and given that a man made a profit which is equal to 1/4 of the cost price and we are asked to find the cost price of the bicycle. So let us assume the cost price to be x and using applicable formulae, let's find the cost price of the bicycle.

⇛ C.P =  ₹ x

⇛ Gain = 1/4 of C.P

⇛ Gain = 1/4 x

We know,

• S.P = C.P + Gain/Profit

⇛ 13000 = x + 1/4x

⇛ 13000 = (x/1) + (x/4)

⇛ 13000 = (x × 4) + (x × 1)(4)

⇛ 13000 = (4x + x)/4

⇛ 13000 = 5x/4

⇛ 13000 × 4 = 5x

⇛ 52000 = 5x

⇛ x = 52000/5

⇛ x = 10400

∴The cost price of the bicycle is ₹10,400.