a shopkeeper sells an article at a profit of 15% had he sold it for ₹21 more he would have gained 18% find the cost price of the article
Answers
Answer:
700
Step-by-step explanation:
Method - 1:
Let the cost price of the article = 100.
Selling price at a gain of 15% = Rs.115
Selling price at a gain of 18% = Rs. 118
Difference between two selling prices = (118 - 115) = 3.
Now,
If the difference between two selling prices is Rs.3 then C.P = 100.
If the difference between two selling price is Rs.1 then C.P = 100/3.
Given that he had sold if for 21.
Difference between two selling prices is 21, then C.P = (100/3) * 21 = 700.
Therefore, Cost price of the article = 700.
Method - 2:
Let the cost price of the article is x.
Given that he sold an article at a gain of 15%.
⇒ x + (15/100) x = 115x/100
Given that he would have gained 18%.
⇒ x + (18/100)x = 118x/100
According to the given condition, we get
⇒ (115x/100) + 21 = (118x/100)
⇒ (115x - 118x)/100 = -21
⇒ -3x = -2100
⇒ x = 700
Therefore, Cost price of the article = 700.
Hope it helps!
Step-by-step explanation:
CP of the article is Rs 700
