if an article is sold with 20% discount, there will be a profit of 15%.If it is sold at 10% discount, there will be a profit of Rs.200.Calculate the market price of an article

The market price of the article is Rs. 978.72

Step-by-step explanation:

Let x represents the market price.

Let y represents the selling price.

Let z represents the cost price.

if an article is sold with 20% discount then there will be a profit of 15%.

SP = CP+Profit =z+0.15z=1.15z

ATQ

If it is sold at 10% discount then there will be a profit of Rs.200

ATQ

Now we are supposed to find the market price of an article.

Multiplying 1.15 both sides

We know that

Hence The market price of the article is Rs. 978.72

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).