The cost prices of two articles A and B are in the ratio 4 : 5. While selling these articles, the shopkeeper gains 10% on article A and 20% profit on article B, and the difference in their selling price is Rs 480. Find 30% of the total cost price (in Rs) of both the articles.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 810
The ratio of the cost price of two articles = 4 : 5
Selling Price on first articles = 10% gain
The selling Price on the second article = 20% profit
The difference in the selling price = Rs. 480
Let the cost price of the two articles be 40x and 50x respectively.
According to the question -
SP on first article = (110% of 40x) = (110/100 × 40x) = 44x
SP on second article = (120% of 50x) = (120/100 × 50x) = 60x
The difference in the selling price = Rs. 480
(60x - 44x) = 48016x = 480
x = 30
The total cost price of both the articles = (40 × 30 + 50 × 30) = (1200 + 1500) = Rs. 2700