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Which statement is required to answer the following question?

A man has two articles P and Q. What is the selling price of article Q?

I. The amount obtained after selling 6 article P and 4 article Q is Rs.120. From this amount, either he could buy 9 article P and 4 article Q or 3 article P and 8 article Q.

II. Ratio of profit % earned on selling article P and article Q is equal.

III. Profit earned on selling 1 article Q is Rs.3 and profit % earned on selling 1 article P is 25%. Selling price and cost price of article Q are Rs.5 and Rs.4 more than that of article P respectively.

A man has two articles P and Q. What is the selling price of article Q?

I. The amount obtained after selling 6 article P and 4 article Q is Rs.120. From this amount, either he could buy 9 article P and 4 article Q or 3 article P and 8 article Q.

II. Ratio of profit % earned on selling article P and article Q is equal.

III. Profit earned on selling 1 article Q is Rs.3 and profit % earned on selling 1 article P is 25%. Selling price and cost price of article Q are Rs.5 and Rs.4 more than that of article P respectively.

Data Analysis and Interpretation

Answer

**Solution:**

Let us assume selling price of article P and Q is ‘P’ and ‘Q’ respectively, while cost price of article P and Q is x and y respectively.

From statement I

6P + 4Q = 120

9x+4y=120

3x+8y=120

So, x=8, y=12

But we can’t calculate value of P and Q