The price of two articles are in the ratio of 3 : 2 respectively. The price of first article is increased by 40% and the price of second article is decreased by x%. If the new ratio of the price of the two articles is 7 : 3 respectively, then what is the value of x?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10
Let the price of 2 articles be 3a and 2a
A/c to question,
{3a + (40% of 3a)}/{2a - (x% of 2a)} = 7/3
(3a + 1.2a)/{2a - (2ax)/100} = 7/3
(4.2a)/{(200a - 2ax)/100 = 7/3
420a/a(200 - 2x) = 7/3
1260 = 1400 - 14x
14x = 140
x = 10