# Arithmetic Aptitude :: Percentage

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## 7. The cost of two varieties of paint is Rs.3969 per 2 kg and Rs.1369 per 2 kg respectively. After how many years, the value of both paint will be the same, if variety 1 appreciates at 26% per annum and variety 2 depreciates at 26% per annum?

**Answer:**

**Option D**

**Explanation :**

Simply appreciates variety 1 by 26% and depreciates variety 2 by 26% as:

3969(1-(1/26))^n=1369(1+)1/26))^n

For n = 2 we get both values equal.

Variety 2 Variety1

3969.00 1369 Initially

2937.06 1724.94 after I year

2173.42 2173.42 after II year

So the price become same after 2 years.

**Asked In :: **
IBM Accenture

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