## Ratio Proportion

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

R can do a piece of work in 20 days and K in 25 days. They work together for 5 days and then K leaves. In how many days would R finish the work?

- 5
- 9
- 10
- 11
- 12

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

A fort has a provision for 900 men for 40 days. After 20 days, 300 men join them. For how many days more will the provision last for?

- 5 days
- 10 days
- 15 days
- 20 days
- 25 days

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

An officer divided his 35 hour work week as follows:

of his time was spent in sending mails

of his time in filing letters

of his time in reception work

The rest of his time is spent in messenger work.

What is the percent time spent on messenger work?

- 6%
- 10%
- 12%
- 16%
- 21%

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

Three types of tea each worth $6.00 / lb, $7.50 / lb and $*x* / lb are mixed in proportion of 1 : 2 : 3 to form a mixture worth $8.50 / lb. What is the value of *x* in $ / lb?

- 7.00
- 7.50
- 8.00
- 8.50
- 10.00

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

What is two fifth of one tenth of three eight of nine eleventh?

- 1

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

In equal amounts of time three professors are able to solve problems in the ratio of 1.5 : 2.5 : 3.5. If the professor with the least capability can solve 6 problems in 2 hours, how many problems will the professor with highest ability solve in 3 hours? Assume that they solve problems with uniform speed.

- 9
- 10
- 15
- 21
- 24

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

Three men or six women do a piece of work in 20 days. In how many days can 12 men and 8 women do the same piece of work?

- days
- days
- days
- days
- days

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

A tank normally filled in 8 hours takes 2 hours longer owing to a leak. If the tank is full the leak shall empty in _________ hours?

- 16
- 20
- 25
- 40
- 45

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

A tap can fill a tank in 3 hours and another tap in 2 hours. An outlet can drain the tank completely in 4 hours. If all three are kept open, how long would it take to fill the tank completely?

- 2 hours
- 3 hours
- 4 hours
- The tank will never be full.
- None of these.

Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

Two vessels contain spirit and water mixed in the ratio 5 : 3 and 3 : 1 respectively. In what ratio should they be mixed together to get the ratio of spirit and water in the final mixture as 2 : 1?

- 1 : 2
- 5 : 4
- 4 : 5
- 2 : 1
- 3 :1