The Number of Four Wheelers Sold in a Year Vary Inversely With the GMAT Problem Solving

Question: The number of four wheelers sold in a year vary inversely with the number of two wheelers sold in that year. If 4000 four wheelers were sold in one particular year, 21000 two wheelers were sold that year. How many two wheelers were sold in a year, when 6000 four wheelers were sold?

1. 12000
2. 12500
3. 13000
4. 13500
5. 14000

Correct Answer: E

Solution and Explanation
Approach Solution 1:
This question has only one approach to solve

To find the number of two wheelers were sold in a year, when 6000 four wheelers were sold let us use the variation approach to solve the question further-

It is already given in the question that the number of four-wheelers sold in a given year is inversely proportional to the number of two-wheelers sold in that same year. If 4000 four wheelers were sold in a given year, 21000 two wheelers were sold in the same year.

Given, the number of four-wheelers sold is inversely proportional to the number of two-wheelers sold.

Assume k is the proportionality constant.

Let us write the equation the following way

4000= k *\(\frac{1}{210000}\) .

k= 4000 * 21000

Now, Let x be the number of two-wheelers sold for every 6000 four-wheelers sold.

So,

6000= k * \(\frac{1}{x}\)

Now let us substitute the value of k and solve for x.

6000= 4000 * 21000 *\(\frac{1}{x}\) 

6000 = \(\frac{84000000}{x}\)

x= \(\frac{84000000}{6000}\)

x= 14000

number of two wheelers were sold in a year are 14000

The answer is E which is 14000

“The number of four wheelers sold in a year vary inversely with the”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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