A person buys 1365 articles at Rs.24150. if he sells 637 articles at 30% profit .37.5% of remaining article he sells at x% loss and remaining articles sells at 20% profit .the total SP of all articles is Rs.28175, then find the value x?
a. 16.66
b. 30
c. 25
d. 20
Answers
Given:
Number of articles = 1365
Total cost price = Rs 24150
Sold 637 at 30% profit
37.5% of the remaining at x% loss
Remaining articles at 20% profit.
Total selling price = Rs 28175
To Find:
The value of x
Solution
Find the cost price of 1 article:
1365 articles = Rs 24150
1 article = Rs (230/13)
Find the total selling price of the 637 articles:
Cost of 1 article = Rs (230/13)
Cost of 637 articles = Rs 11270
Profit = 30% of Rs 11270
Profit = 0.3 x 11270
Profit = Rs 3381
Selling Price = 11270 + 3381
Selling Price = Rs 14651
Find the number of articles that were sold at x% loss:
Number of articles = 37.5% of (1365 - 637)
Number of articles = 0.375 x 728
Number of articles = 273
Find the total selling price of the remaining articles:
Number of articles = 1365 - 637 - 273
Number of articles = 455
Cost Price = 455 x (230/13)
Cost Price = Rs 8050
Profit = 20% of Rs 8050
Profit = 0.2 x 8050
Profit = Rs 1610
Selling Price = 8050 + 1610
Selling Price = Rs 9660
Find the total selling price of the articles sold at x% loss:
Selling Price = 28175 - 14651 - 9660
Selling Price = 3864
Solve x:
Number of articles = 273
Total Selling Price = Rs 3864
Selling Price of 1 article = 3864 ÷ 273
Selling Price of 1 article = Rs (184/13)
Find the percentage loss
Loss = Rs (230/13) - Rs (184/13)
Loss = Rs (46/13)
Loss Percentage = Loss ÷ Cost Price x 100
Loss Percentage = (46/13) ÷ (230/13) x 100
Loss Percentage = 20%
Answer: (d) 20%