GMAT Quantitative Aptitude Study Resource: More Practice Problems On Ratio And Proportion

In one of our previous GMAT QA study resource posts, we discussed a few shortcut tips and practice problems related particularly to the ratio and proportion topic.

Today, in this post, we are going to add to that. Here you go.

Question 3

$432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get?

1. $192

2. $133

3. $144

4. $128

Solution:

8 times A’s share = 12 times B’s share = 6 times C’s share.

Note that this is not the same as the ratio of their wages being 8 : 12 : 6

In this case, find out the L.C.M of 8, 12 and 6 and divide the L.C.M by each of the above numbers to get the ratio of their respective shares.

The L.C.M of 8, 12 and 6 is 24.

Therefore, the ratio A:B:C :: 24/8 : 24/12 : 24/6

=> A : B : C :: 3 : 2 : 4

The sum of the total wages = 3x + 2x + 4x = 432 => 9x = 432 or x = 48.

Hence, A who gets 3x will get 3 * 48 = $144.

Answer: c) $144.

Question 4

In a mixture of 45 liters, the ratio of sugar solution to salt solution is 1:2. What is the amount of sugar solution to be added if the ratio has to be 2:1?

1. 45 liters

2. 50 liters

3. 55 liters

4. 40 liters

Solution:

Number of liters of sugar solution in the mixture = (1/(1+2)) *45 = 15 litres.

So, 45-15 = 30 liters of salt solution is present in it.

Let the quantity of sugar solution to be added be x litres.

Setting up the proportion,

sugar solution / salt solution = (15+x)/30 = 2/1 or, x = 45.

Therefore, 45 liters of sugar solution has to be added to bring it to the ratio 2:1.

Answer: a) 45 liters.

Question 5

Two numbers are in the ratio 3 : 4. If the sum of numbers is 63, find the numbers.

1. 55, 80

2. 25, 67

3. 27, 36

4. 40, 50

Solution:

Sum of the terms of the ratio = 3 + 4 = 7

Sum of numbers = 63

Therefore, first number = 3/7 × 63 = 27

Second number = 4/7 × 63 = 36

Therefore, the two numbers are 27 and 36.

Answer: c) 27, 36

Question 6

A, B and C enter into a partnership by investing $3600, $4400 and $2800. A is a working partner and gets a fourth of the profit for his services and the remaining profit is divided amongst the three in the rate of their investments. What is the amount of profit that B gets if A gets a total of $8000?

1. 4888.88

2. 9333.33

3. 4000

4. 3666.66

Solution:

Let x be the profit.

Their investment ratio = 3600: 4400: 2800 = 9 : 11 : 7

A's profit of $8000 = (1/4 * x) + 1/3 (3/4*x) = 1/2 * x

x = $16,000

Therefore B's profit = 11/27(3/4 * 16000) = $4888.88

Answer: a) 4888.88

Question 7

A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. If altogether, they score 342 runs. How many runs did A make?

1. 162

2. 108

3. 72

4. None of these

Solution:

A:B = 3:2 = 9:6;

B:C = 3:2 = 6:4 (making B equal)

Therefore, A:B:C = 9:6:4

Therefore, the runs made by A = (9/19) X 342 = 162.

Answer: a) 162.

All the best for your GMAT examination!

**If you want take a quick peek at one of our previous articles on time and work, you can find it here.

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