.
There is a 30% increase in the price of an article in
the first year, a 20% decrease in the second year
and a 10% increase in the next year. If the present
price of the article is rs 2,288, then the price of the
article 3 years ago is.
rupees.
Answers
The price of the article 3 years ago was Rs 2000
Step-by-step explanation:
To simplify the problem, assume that the initial price of the article is Rs 100
A 30 % profit was seen in Year 1.
The price in Year 1 = 100 + 30% of 100
= 130
A 20% decrease was noted in Year 2
The price of the item in Year 2 = 130 – 20% of 130
= 130 – 20/100 * 130
= 104
A 10% increase was seen in Year 3
The price of the item in Year 3 = 104 + 10% of 104
= 114.4
Thus, after 3 years, the price of a Rs 100 article would increase to Rs. 114.4
Thus, the initial price of an article would be x if the final price is Rs. 2288
Equating the conditions;
X = (2288 x 100) / 114.4
= 2000
The initial price of the article, 3 years ago was Rs. 2000