amitjash wrote:

Please help me here... I get the answer 50. OA is definately correct or am i making some mistake please correct me where i am wrong.

20 articles for $60 means selling price = 3

20% profit is made so Cost Price = 2.5

Man has to incur a loss of 20% means he has to make a total loss of 20% and he sells X units in 90$

60+90 = 0.8 * (C.P. for 20+X units)

C.P. for 20+X units = 75*5/2

But the cost price for one unit is 2.5 so, 75*5/(2*2.5) = 75 = Number of units sold.

20 units were sold for 60$ so 55 units sold for 90$

Can someone explain where am i wrong here???

The loss of 20% in the second part of the question doesn't include the initial 20 items. It's just on the X number of items he needs to sell for a total of $90.

So 90=0.8(C.P of x units) So C.P of x units=$112.5 and since we know that C.P of each item is $2.5.

No of items he need to sell or x= 112.5/2.5 =45

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