Consider the given question and decide which of the following statement(s) is/are sufficient to answer the question. If the sum of selling price and cost price of a watch is Rs. 2200 then find profit. Statements 1. Man sells the watch at a 20% profit. 2. Ratio of cost price and selling price of watch is 5 : 6.?

Option 1 : Either 1 or 2 alone is sufficient to answer the question.

Given:

S.P. + C.P. = Rs. 2200

Formula used:

P% = (Profit/CP) × 100

S.P. – C.P. = Profit

From statement 1

Profit% = 20%

Let C.P. of article = Rs. x

⇒ 20 = (P/x) × 100

⇒ 1 = 5P/x

⇒ P = x/5

SP – x = P

⇒ SP = x/5 + x = 6x/5

⇒ SP + CP = 2200 (Given)

⇒ 6x/5 + x = 2200

⇒ 11x/5 = 2200

⇒ x = 1000

⇒ Profit = x/5 = 1000/5

⇒ Profit = Rs. 200

From statement 2

Let CP = 5x and SP = 6x

Profit = SP – CP

⇒ Profit = 6x – 5x = x

⇒ SP + CP = 2200

⇒ 6x + 5x = 2200

⇒ 11x = 2200

⇒ Profit = x = Rs. 200

∴ Either 1 or 2 alone is sufficient to answer the question.