The selling price of one article after allowing a discount of 15% on its cost price, is the same as the selling price of another article after allowing a discount of 25% on its cost price. If the sum of the cost prices of both the articles is Rs 640, then find the selling price of the first article.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs 255
Let the CP of both the articles be 100x and 100y.
SP of the first article = 85% × 100x
SP of the second article = 75% × 100y.
85x = 75y
x/y = 15/17
Let x = 15a and y = 17a.
100x + 100y = 640
x + y = 6.4
15a + 17a = 6.4
32a = 6.4
a = 0.2
SP of the first article = 85x = 85 × 15 × 0.2 = 255