If 7% of the sale price of an article is equivalent to 8% of its cost

1.	If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Re 1, then what is the cost of the article? (a) Rs 400 (b) Rs 350 (c) Rs 300 (d) Rs 280
Answer» (b) Rs 350 Suppose C.P. = Rs x and S.P. = Rs y \(\Rightarrow\) 7% of y = 8% of x , i.e., 7y = 8x ….......(i) and 9% of y = 10% of x + 1, i.e., 9y = 10x + 1 ...........(ii) From (i) we have y = \(\frac{8X}{7}\). Putting the value of y in (2), we get 9 x \(\frac{8X}{7}\) = 10x+100 \(\Rightarrow\) 72x = 70x + 700 \(\Rightarrow\) 2x = 700 \(\Rightarrow\) x = 350

If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Re 1, then what is the cost of the article? (a) Rs 400 (b) Rs 350 (c) Rs 300 (d) Rs 280

Answer»

(b) Rs 350

Suppose C.P. = Rs x and S.P. = Rs y

\(\Rightarrow\) 7% of y = 8% of x , i.e., 7y = 8x ….......(i)

and 9% of y = 10% of x + 1, i.e.,

9y = 10x + 1 ...........(ii)

From (i) we have y = \(\frac{8X}{7}\). Putting the value of y in (2), we get

9 x \(\frac{8X}{7}\) = 10x+100

\(\Rightarrow\) 72x = 70x + 700

\(\Rightarrow\) 2x = 700

\(\Rightarrow\) x = 350