Practice the questions given in the worksheet on word problems on ratio. The questions are based on dividing a given quantity into a given ratio.

**1.** $80 are to be divided between Alex and David in the ratio 5 : 11. How much does each get?

**2.** The ratio between two quantities is 3 : 4. If the first is $810, find the second.

**3.** A field is 80 m in length and 60 m in width. Find the ratio between its width and its length.

**4.** The age of a man is equal to the sum of the ages of his son and daughter. The ratio of the age of the son to that of the daughter is 5 : 4. If the age of the man is 45 years, find the ages of his son and daughter.

**5.** A profit of $2,500 is to be shared among three partners in the ratio 6 : 9 : 10. How much does each partner get?

**6.** Two numbers are in the ratio 10 : 11. Their sum is 168. Find the numbers.

**7.** Two friends A and B invest some money in a business in the ratio 13 : 12. They make a profit of $ 542600. How much should B receive as profit if the profit is proportional to the investment?

**8.** How will $105
be shared between Jack, Ken and Aaron; if Jack gets double of what Ken gets,
and Ken gets double of what Aaron gets?

**9.** The subscription
fee of a dancing academy is increased from $980 to $1000 per month. Find the
ratio of the increased fee to the original fee.

**10.** In a housing complex the ratio of the number of males to
that of the females is 4 : 3. If there were 20 males less and 10 females less
then the ratio would have been 5 : 4. How many people were there in the complex?

**11.** Mr. Jones
divides $4,500 among his three children Sam, Ron and Gary in such a way that
Sam gets equal to four-times of what Ron gets and Ron gets equal to 2.5 times
of what Gary gets. Find what each children get.

**12.** The length of a line segment AB is 8.1 cm. C is a point
on AB such that AC : CB = 7 : 2. Find the length of AC and CB.

**13.** The population
in a city is 180,000; out of which men are 1/3 of the whole population. Find
the number of women. Also, find the ratio of the number of women to the whole
population.

**14.** During a test match series of cricket three bowlers A, B
and C together took 23 wickets. The ratio of wickets taken by A and B is 4 : 3,
and the ratio of those taken by B and C is 2 : 3. Find the wickets taken by A, B
and C.

Answers for the worksheet on word problems on ratio are given below to check the exact answers of the above ratio word problems.

**Answers:**

**1.** Alex = $25;
David = $55

**2.** $1080

**3.** 3 : 4

**4.** 25 years, 20 years respectively

**5.** $600, $900 and
$1,000

**6.** 80, 88

**7.** $ 260448

**8.** Jack = $60,
Ken = $30 and Aaron = $15

**9.** 1 : 49

**10.** 210

**11.** Sam = $ 3,000;
Ron = $ 750 and Gary = $ 300

**12.** AC = 6.3 cm, CB = 1.8 cm

**13.** 120,000; 2 :
3.

**14.** 8, 6, 9 respectively

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