# Verbal Reasoning :: Logical Problems

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## 2. A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how much did he buy?

**Answer:**

**Option C**

**Explanation :**

Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1

So w(x+1) + bx = 100

w + b = 18

b = 18 - w

Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100

Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833

Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6.

Option 3 Satisfies this condition.