Question

a man buys a TV at rs 15000 and sells it at a profit of 10% his selling price is​

Answer 1

Answer: Cost price = 15000

Profit% = 10%

Profit = 15000/100*10 = 1500

Selling price= 15000+1500=16500

Hence, answer is 16500

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Answer 2

Given :

• CP = Rs.15,000
• Profit% = 10%

To Find :

The SP.

Solution :

Analysis :

We will find the SP by using the required formula.

Required Formula :

SP = [(1 + P%)/100] × CP

Explanation :

We know that if we are given the CP and the Profit% and is asked to find the SP then our required formula is,

SP = [(1 + P%)/100] × CP

where,

• CP = Rs.15,000
• P% = 10%

Using the required formula and substituting the required values,

⇒ SP = [(1 + P%)/100] × CP

⇒ SP = [(1 + 10%)/100] × 15000

⇒ SP = [(1 + 10)/100] × 15000

⇒ SP = [(1 + 1)/10] × 15000

⇒ SP = [(10 + 1)/10] × 15000

⇒ SP = [11/10] × 15000

⇒ SP = 11/10 × 15000

⇒ SP = 11/1 × 1500

⇒ SP = 11 × 1500

⇒ SP = 16500

∴ SP = Rs.16,500.

The Selling Price is Rs.16,500.

Verification :

We know that if we are given the SP and CP and is asked to find the profit then our required formula is,

Profit = SP - CP

where,

• SP = Rs.16,500
• CP = Rs.15,000

Using the required formula and substituting the required values,

⇒ Profit = SP - CP

⇒ Profit = Rs.(16500 - 15000)

⇒ Profit = Rs.1,500

∴ Profit = Rs.1,500.

Now Profit% :

We know that if we are given the Profit and CP and is asked to find the profit% then our required formula is,

Profit% = (Profit/CP) × 100

where,

• Profit
• % = 10%
• Profit = Rs.1,500
• CP = Rs.15,000

Using the required formula and substituting the required values,

⇒ Profit% = (Profit/CP) × 100

⇒ 10% = (1500/15000) × 100

⇒ 10% = (15/150) × 100

⇒ 10% = (1/10) × 100

⇒ 10% = 1/10 × 100

⇒ 10% = 1/1 × 10

⇒ 10% = 10%

∴ LHS = RHS.

• Hence verified.