Question

selling price of a b c are in ratio 3:4:5 and profit percent earned on selling these article in ratio 4:12:5 if cost price of article a and b is equal and and cost price of c is 120 find overall gain

Answer 1

Given are ratios of the selling prices and profit percentages earned on three articles a, b, and c. Find the overall gain.

Explanation:

• If the cost price of a product is 'c' and the profit price gained on it be 'p'. Then the selling price of that product is given by, $S_p=C_p+P_p$  
• Now given are the ratios of selling prices as $3:4:5$ and profit percentage as $4:12:5$.
• Therefore the selling prices of each article can be $3x, 4x, 5x$.
• Therefore the profit price is also in the same ratio as the profit percentage can be given by $4y, 12y, 5y$
• Now given the cost price of 'c' is $120$ and that of 'a' and 'b' are equal and be denoted by 'C'
• Hence from the first point we get,
• $3x=C+4y\ \ \ \ \ \ \ ----(i)\\4x=C+12y\ \ \ \ \ \ ----(ii)\\5x=120+5y\ \ \ \ \ ----(iii)$  
• From (i) and (ii) we get, $x=8y$
• Putting this in (iii) we get, $y=\frac{24}{7}$  
• Hence the overall gain from all three is given by,
•                   $Total\ profit=4y+12y+5y\\Total \ profit=21y\\Total\ profit=21(\frac{24}{7} )\\Total\ profit= 72$  
• Hence, the overall profit from all three articles a, b, and c is $72$.

Answer 2

Answer:

Step-by-step explanation: