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Business Intelligence Analyst Interview

-Boston, MA

Wayfair

50,000 shoppers with a 0.5% conversion rate for a chair that costs $250. Wayfair makes a 27% profit. Next, 50,000 shoppers will get a 10% discount. What is the conversion rate they must achieve to achieve the same profits as before?

Tags:technical, analytical, business case
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13 Answers

28

This is incorrect Old revenue = 50000*250*.005=250*250 New revenue with conversion rate r% = 50000*r*250*.9 = old revenue = 250*250 r = .55%

Anonymous on

3

July 9 is wrong because the profit margin changes(As sale price changes, but the cost doesn't change)

Anonymous on

4

The new conversion rate is 0.944, Profit from case 2 = $16,875 and the third part, if this scenario actually occurred I would give a 10% discount (with the new conversion rate .944%) because the overall profit margin would remain same i.e. $16,875

Anonymous on

3

The correct answer is 0.79%. If the selling price is reduced by 10%, the profit margin will not remain 27%. It actually becomes 18.9%. People who calculated 0.56% assumed the margin was static at 27% despite the price reduction.

Anonymous on

2

$250 is the actual cost of the chair (profit not included) or the price listed??

Anonymous on

1

Answer from Nov 21 is correct while July 9 is incorrect. The latter one is just making the revenues equal before and after the sale. It is ignoring the fact that profit % i.e. cost price is also changing after the sale. Before the sale cost price is 182.5*250. After sale cost price would be 182.5*(no >250), as with new conversion rate more customers will be buying. So even if the revenues are equal, profits won't be equal.

Anonymous on

1

Total Shoppers 50000 Conversion Rate 0.5 Total Customers 250 Selling Price 250 Profit % 27 Cost price 196.8503937 Profit in $ 53.1496063 Total Sales 12500000 Total Profit 13287.40157 Scenario 2: Selling price 225 Profit 28.1496063 Customers required 472.027972 Conversion Rate in % 0.944055944 Please note that the $250 selling price is (Cost price + 27% profit) on it. So Nov 21, 2014, assumption of doing .27*250 to get the profit is wrong.

FatherStrum on

6

Number 2 is wrong, number 1 is right. Just because revenues equal doesnt mean profits will equal - they sacrifice profits when they decide to give the sale

Anonymous on

3

Do they expect you to do this in your head, or will they give you pen/paper and a minute?

Thomas on

1

Wow!!! All I can say is if these are the types of questions asked, it is no longer a mystery to me as to why corporate people are COMPLETELY out of touch with reality of the field experiences!!!

Anonymous on

0

July 9 is correct. Nov 21 is incorrect.

Michael on

3

You don't actually need to calculate anything other than the new conversion rate. Why? Look at the equation below: (customer sent = 50000) * (customer bought / customer sent = 0.005 conversion rate) * (revenue / customer bought = 250) * 0.27 (profit / revenue) gives (profit / customer sent). this should be equal to the one after discount. only (revenue / customer bought) changed -> it decreased 10%. therefore, conversion rate needs to increase by (1/0.9), which gives 5.56%.

simple on

6

July 9th Answer is the correct answer. It is not hard: Initial profit is = 50000 * 0.005 * 250 * 0.27 (No need for the calculator yet) After sale profit = 50000 * x * 250 * 0.01 * 0.27 (Still don't need the calc) The question asks for the conversion rate such that profit are the same before and after the sale, so... Initial profit = After Sale profit 50000 * 0.005 * 250 * 0.27 = 50000 * x * (250 - (250 * 0.01)) * 0.27 (divide through & cancel) 0.005 * 250 = x * 225 x = (0.005 * 250) / 225 x = 0.0056 or 0.56%

Hans on

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