1.

Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?1). 91 : 1002). 100 : 913). 31 : 504). 50 : 31

Answer»

First shirt is sold at a PROFIT of 30%

We write 30% = 3/10

Let CP of the first shirt be 10 and profit be 3

So, SP of the first shirt = 10 + 3 = 13

(CP)1/(SP)1 = 10/13----(1)

Similarly SECOND shirt is sold at a loss of 30%

We write 30% = 3/10

Let CP of the second shirt be 10 and loss be 3

So, SP of the second shirt be = 10 – 3 = 7

(CP)2/(SP)2 = 10/7----(2)

GIVEN, CP of the first shirt is equal to the SP of the second shirt.

Multiply by 7 in equation (1) and multiply by 10 in equation (2) we get

CP)1/(SP)1 = 70/91

(CP)2/(SP)2 = 100/70

∴ ratio of the selling price of the first shirt to the cost price of the second shirt is 91 : 100


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