Question

the cash difference between the selling prices of an article at a profit of 4 percent and 8 percent is Rs 3.the rate of two sailing prices is.​

Answer 1

Step-by-step explanation:

Let cost price (CP) of the article be X rs.

For 4% profit, SP=CP+4% of CP=1.04X

For 6% profit, SP=CP+6% of CP=1.06X

It is given that cash differences between selling price is Rs 3

⇒1.06X−1.04X=3

⇒0.02X=3

∴X=150

i.e. Selling price of first article =1.04X=1.04×150=156 Rs

and Selling price of second article =1.06X=1.06×150=159 Rs

∴ Ratio of selling prices =

159

156

=52:53

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Answer 2

Answer:

The cash difference between the selling prices of an article at a profit of 4 percent and 8 percent is Rs 3.The rate of two selling prices is.​

Step-by-step explanation:

• Given, Cash Difference=3
• Selling price is denoted by SP.
• So, (SP at a profit of 4%  -  SP at a profit of 8% = 3 )
• $\frac{8}{100}SP - \frac{4}{100}SP = 3$
• $\frac{4}{100}SP = 3$
• $SP = \frac{300}{4}$
• $SP = 75$
• SP at a profit of 4 % = $75+\frac{4}{100}* 75$
• $75 + 3$
• $78 Rs.$
• SP at a profit of 8% = $75 + \frac{8}{100}*75$
• $75+6$
• $81 Rs.$
• Therefore, the selling prices at two selling rates are 78 Rs. and 81 Rs. respectively.

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