Question

A certain number of articles are bought at 3 for 150 and all of them are sold at 4 for
180. Find the loss or gain as percent.
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Answer 1

Answer:

It is a loss. Loss percentage = 10 percentage (Hope it is helping you)

Step-by-step explanation:

Given: Case 1: Buying: Number of objects = 3

                                     Cost of buying the 3 objects = Rs. 150

                                     Cost of buying 1 object = Rs. 50

          Case 2: Selling: Number of objects = 4

                                     Cost of selling the 4 objects = Rs. 180

                                     Cost of selling 1 object = Rs. 45

To find: Loss Percent or Gain Percent

Solution: Let us take the cost of buying 1 object and cost of selling one object.

Cost of buying one object is Rs. 50

Cost of selling one object is Rs. 45

So, since selling price is less than cost price, it is a loss.

Loss = Cost price - Selling price

        = Rs. 50 -Rs. 45

        = Rs. 5

Therefore, loss is Rs. 5.

Loss percentage = 100 x Loss / Cost price

Loss percentage = 100 x 5/50 (If we take loss for one object take cost price for one object; If we take loss for three objects, take cost price for 3 objects)

Loss percentage = 100 x 5/50

Loss percentage = 2 x 5 (or) 100 x 1/10

Loss percentage = 10 percentage

Therefore, Loss percentage = 10 percentage.

Answer 2

Answer:

Step-by-step explanation:

L.C.M. of 3 and 4 = 12

Let 12 articles are bought

∴  C.P.  of 12 articles = Rs. (150 × 12)/3

= Rs.600

And S.P.  of 12 articles = Rs. (180 × 12)/4

= Rs. 540

Loss = C.P. – S.P.

=Rs. 600 – Rs. 540

= Rs. 60

Loss % = (Loss × 100)/C.P.

 = (60 × 100)/600

= 10%