The Cost of 16 Packets of Salt, Each Weighing 900 grams is 28 GMAT Problem Solving

Question: The cost of 16 packets of salt, each weighing 900 grams is 28. What will be the cost of 27 packets, if each packet weighs 1 kg?

  1. 52.5
  2. 56
  3. 58.5
  4. 64.75
  5. 65


Correct Answer: A

Solution and Explanation
Approach Solution 1:
There is only one approach to solve the problem.

Given:

  • There are 16 packets of salt
  • Each packets weigh 900 grams
  • The cost of these 16 packets is 28.

Condition:

  • If each packet weighs 1 kg

Find out:

  • What will be the cost of 27 packets

The cost of 16 packets of salt, each weighing 900 grams is 28.
=> So cost is16*900g = 28.

Let us find the weight of 1 gram
The weight is :
28/16*900—---------------- 1

Now, we need to find out the cost of 27 packets, if each packet weighs 1 kg,

The equation becomes = 27*1000g (since 1kg=1000 grams)----------2

Now considering equation 1 and 2, we get:
(28/16*900) * 27000
= 7*30/ 4
=52.5

“The cost of 16 packets of salt, each weighing 900 grams is 28.”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide 2018 Quantitative Review".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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