the percent profit made when an article is sold for Rs 56 is thrice as when it is sold for rs 42 .Tell the cost price of the article
Answers
Answer:
Rs 35
Step-by-step explanation:
Let the cost price of the article be x then we can analyze it as follows :
When the item is sold at 56 the percentage profit is :
(56 - x) /x × 100 = (5600 - 100x)/x
When the selling price is 42 the percentage profit is :
(42 - x) / x × 100 = (4200 - 100x) / x
From the question we have that the % profit when the selling price is 56 is thrice the percentage profit when the selling price is 42.
We write this as :
3[(4200 - 100x) / x] = (5600 - 100x) / x
(12600 - 300x)/x = (5600 - 100x)/x
Multiply through by x to eliminate x in both cases :
12600 - 300x = 5600 - 100x
12600 - 5600 = - 100x + 300x
7000 = 200x
x = 7000/200 = 35
The cost price of the article is :
Rs 35.
Answer:
sp - cp = 3 ( sp new - cp new)
56- cp = 3 ( 42- cp new)
cp = cp new
on solving,
cp = 35₹