Question
Download Solution PDFThe price of two articles are in the ratio of 5 : 6 respectively. The price of first article is increased by 30% and the price of second article is decreased by X%. If the new ratio is 13 : 11 respectively, then what is the value of X?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The price of two articles are in the ratio of 5 : 6
The price of first article is increased by 30%
The price of second article is decreased by X%
So the Ratio becomes 13 : 11
Calculation:
Let the price of the articles initially be 50 and 60 respectively
The price of first article is increased by 30%
⇒ 50 + (30/100) × 50 = 65
The price of second article is decreased by X%
⇒ 60 - {(X/100) × 60} = 60 × (100 - X)/100
So the Ratio becomes 13 : 11
⇒ 65/{60× (100 - X)/100} = 13/11
⇒ 715 = 780 × (100 - X)/100
⇒ 71500 = 78000 - 780X
⇒ 780X = 6500
∴ X = 8.33
Last updated on Jun 12, 2025
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