Recently I bought some guavas at my local market for Rs. 1.20. But they were so small that I made the vendor throw in two extra guavas for the same price. As I began to walk away the vendor mumbled that this transaction had made lose10 paise a dozen less than the price settled before. How many guavas did I get for my Rs. 1.20?

general knowledge math & puzzles

  1. 18

  2. 23

  3. 45

  4. 9

Show answer
Correct Option: A

AI Explanation

To solve this problem, let's assume that the price of each guava is 'x' paisa.

According to the given information, you bought some guavas for Rs. 1.20, which is equal to 120 paise. Thus, the equation becomes:

Number of guavas * x paisa = 120 paise

Now, you received two extra guavas for the same price. So, the equation becomes:

(Number of guavas + 2) * x paisa = 120 paise

The vendor mentioned that this transaction made him lose 10 paise a dozen less than the original price. A dozen means 12 guavas. Therefore, the equation becomes:

(Number of guavas + 2) * x paisa = 120 paise - 10 paise

Simplifying the equation, we get:

(Number of guavas + 2) * x paisa = 110 paise

Now, let's check the options:

A) 18 guavas: (18 + 2) * x = 20x

B) 23 guavas: (23 + 2) * x = 25x

C) 45 guavas: (45 + 2) * x = 47x

D) 9 guavas: (9 + 2) * x = 11x

By equating the equation obtained earlier with the given options, we can find the correct answer.

20x = 110

From this equation, we can calculate that x = 5.5

Now, let's substitute the value of 'x' into each option:

A) 20 * 5.5 = 110 paisa (Rs.1.10) B) 25 * 5.5 = 137.5 paisa (Rs.1.375) C) 47 * 5.5 = 258.5 paisa (Rs.2.585) D) 11 * 5.5 = 60.5 paisa (Rs.0.605)

So, the correct answer is A) 18 guavas.

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