The selling price of three articles A, B and C is in the ratio of 3: 4:5 and the profit percent earned on selling these article is in the ratio of 4 : 12 : 5. If the cost price of article A and B is equal and the cost price of article C is Rs 120. Find the overall gain on three articles?
Answers
Answer:
Refer the image
Overall gain on three articles is Rs. 72
Given:
The ratio of the selling price of three articles = 3:4:5
Profit percent ratio = 4:12:5
CP of article C = Rs. 120
To find:
Overall gain on three articles
Solution:
Let the selling price be = x
Therefore, SP pf three articles = 3x, 4x and 5x
Let profit be = y
Therefore, the profit of three articles = 4y, 12y and 5y
Now, since the CP of article C is already given ie. 120,
Let the CP of a and b be = Z
As per the question -
3x = Z + 4y
4x = Z + 12y
5x = 120 + 5y
On solving 1 and 2,
x = 8y
Substituting the value of x in 3.
5 (8y) = 120 + 5y
y = 120/35
y = 24/7
Therefore,
The total profit will be -
= 4y + 12y + 5y
= 21y
= 21 × 24/7 ( Substituting value of y)
= 3 × 24
= 72
Answer: Overall gain on three articles is Rs. 72
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