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MissTica
2 years ago
15

a manufacturer sells an article to a wholeseller at a profit of 18%,the wholesaler sells it to a retailer at a profit of 20%.the

retailer sells it to a customer at a profit of 25%.if the customer pays ₹30.09 for it,find the cost of the manufacturer​
Mathematics
1 answer:
Alex17521 [72]2 years ago
5 0

Answer:

the cost price of manufacturer = RS. 14.80

Step-by-step explanation:

the retailers profit = profit percent of sold amount

= 25% of 30.09

= 25/100 × 30.09

= 7.5225

here, the cost price of retailer =

sold amount- profit amount

or, CP = 30.09 - 7.5225

= 22.5675

now, profit of whole seller =

profit% of sold amount

or, 20% of SP

20/100 × 22.5675

= 4.5135

CP = SP - Profit

or, CP = 22.5675- 4.5135

CP = 18.054

now, profit of manufacturer = profit℅ of SP

= 18% of 18.054

= 18/100 × 18.054

= 3.24972

or, CP of manufacturer = SP - profit amount

= 18.054 - 3.24974

= 14.80428

Therefore, cost price of manufacturer = 14.80

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The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
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<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

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If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

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