Question

when an article is sold at a discount of 10% on the marked price, profit of Rs. 8 is earned by the seller. If the same article is sold without allowing a discount there will be a profit of Rs. 20. what should be the cost price of an article?

Answer 1

AnswEr:-

Let,

Market Price = MP

Cost Price = CP

Then,

=> P1 = (MP - 10%) - CP = Rs8  - CP

             = Rs8 - 0.90% MP

=> CP = 0.90 MP - Rs8

=> P2 = MP - CP = Rs20  - CP

                = Rs20 -MP

=> CP = MP - Rs20

=> 0.90 MP - Rs8 = MP - Rs20  - 0.10% MP = - Rs12

=> 0.10% MP = Rs 12

=> MP = Rs120

=> CP = MP - Rs20 = Rs120 - Rs20 = Rs100.

Hence, The cost price of the item is Rs100.

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