Question

37 articles were sold at Rs.3,330 and the profit was equal to the cost price of 8

articles. Find the cost of each article.​

Answer 1

Answer:

Given in the question.

Selling price(S.P)=144

Profit%=Cost price(C.P)

Cost price(C.P)=?

We know that,

P%=

C.P

S.P−C.P

×100

C.P=

C.P

144−C.P

×100

C.P

2

=14400−100C.P

C.P

2

+100C.P−14400=0

C.P

2

+180C.P−80C.P−14400=0

C.P(C.P.+180)−80(C.P+180)=0

(C.P+180)(C.P−80)=0

C.P cannot be negative.

So,

C.P=80

Hence,the cost price of article is Rs 80.

Step-by-step explanation:

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Answer 2

Find the ratio of SP and CP of ONE article and then calculate profit or loss.

20CP = 25SP

=> SP/CP = 20/25

Loss = CP - SP = 25 - 20 = 5

Loss % = Loss/CP x 100

= 5/25 x 100 = 20%