Three articles are bought at Rs. 400 each. One of them is sold at a loss of 10%. If the other two articles are sold so as to gain 20% on the whole transaction, then what is the gain percentage on the two articles?
- A35%
- B10%
- C30%
- D40%
Solution & Step-by-step Explanation
Since the Cost Price (CP) of each article is the same (Rs. 400), we can solve this using the concept of average percentage.
Let there be 3 articles, each with a weight of 1.
Profit/Loss on the 1st article = −10%
Profit/Loss on the remaining 2 articles = x%
Overall profit required = +20%
Using the weighted average formula:
3
1×(−10)+2×x
=20
−10+2x=60
2x=60+10
2x=70⟹x=35%
Thus, the gain percentage on the other two articles must be 35%.
Let there be 3 articles, each with a weight of 1.
Profit/Loss on the 1st article = −10%
Profit/Loss on the remaining 2 articles = x%
Overall profit required = +20%
Using the weighted average formula:
3
1×(−10)+2×x
=20
−10+2x=60
2x=60+10
2x=70⟹x=35%
Thus, the gain percentage on the other two articles must be 35%.