For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1)
The ratio of the amount of money Murugan had to the amount of money Barathan had was 1:2. After Murugan and Barathan had each given $228.00 to an organisation, the ratio of Murugan's money to Barathan's money became 1:3. Find the sum of money Murugan had at first.
$ ___
Answer:_______________
2)
The ratio of the amount of savings Chidambaram had to the amount of savings Prem had was 3:4. After Chidambaram and Prem had each given $116.00 to a fundraiser event, the ratio of Chidambaram's savings to Prem's savings became 2:4. Find the amount of savings Chidambaram had at first.
$ ___
Answer:_______________
3)
The ratio of the amount of money Kalai had to the amount of money Aravindh had was 3:4. After Kalai and Aravindh had each given $205.00 to charity, the ratio of Kalai's money to Aravindh's money became 1:3. Find the sum of money Kalai had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of money Anand had to the amount of money Chidambaram had was 2:3. After Anand and Chidambaram had each given $147.00 to fund a carnival, the ratio of Anand's money to Chidambaram's money became 2:4. Find the sum of money Anand had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of savings Murugan had to the amount of savings Kumar had was 2:3. After Murugan and Kumar had each given $117.00 to an old folk's home, the ratio of Murugan's savings to Kumar's savings became 1:3. Find the amount of savings Murugan had at first.
$ ___
Answer:_______________
6)
The ratio of the amount of money Chidambaram had to the amount of money Moorthi had was 3:4. After Chidambaram and Moorthi had each given $115.00 to charity, the ratio of Chidambaram's money to Moorthi's money became 1:3. Find the sum of money Chidambaram had at first.
$ ___
Answer:_______________
7)
The ratio of the amount of money Kumar had to the amount of money Balaji had was 1:2. After Kumar and Balaji had each given $282.00 to an organisation, the ratio of Kumar's money to Balaji's money became 1:3. Find the sum of money Kumar had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of savings Sriram had to the amount of savings Narayanan had was 3:4. After Sriram and Narayanan had each given $160.00 to a fundraiser event, the ratio of Sriram's savings to Narayanan's savings became 2:4. Find the amount of savings Sriram had at first.
$ ___
Answer:_______________
9)
The ratio of the amount of money Raj had to the amount of money Selvan had was 3:4. After Raj and Selvan had each given $265.00 to charity, the ratio of Raj's money to Selvan's money became 1:3. Find the sum of money Raj had at first.
$ ___
Answer:_______________
10)
The ratio of the amount of money Karna had to the amount of money Aravindh had was 2:3. After Karna and Aravindh had each given $248.00 to fund a carnival, the ratio of Karna's money to Aravindh's money became 2:4. Find the sum of money Karna had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Murugan had to the amount of money Barathan had was 1:2. After Murugan and Barathan had each given $228.00 to an organisation, the ratio of Murugan's money to Barathan's money became 1:3. Find the sum of money Murugan had at first.
Answer: $456.00
SOLUTION 1 :
Before
Murugan
:
Barathan
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Murugan
:
Barathan
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $228.00
Step 2:
2 units
= 2 x $228.00
= $456.00
2)
The ratio of the amount of savings Chidambaram had to the amount of savings Prem had was 3:4. After Chidambaram and Prem had each given $116.00 to a fundraiser event, the ratio of Chidambaram's savings to Prem's savings became 2:4. Find the amount of savings Chidambaram had at first.
Answer: $174.00
SOLUTION 1 :
Before
Chidambaram
:
Prem
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Chidambaram
:
Prem
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $116.00
1 unit
= $116.00 ÷ 4
= $29.00
Step 3:
6 units
= 6 x $29.00
= $174.00
3)
The ratio of the amount of money Kalai had to the amount of money Aravindh had was 3:4. After Kalai and Aravindh had each given $205.00 to charity, the ratio of Kalai's money to Aravindh's money became 1:3. Find the sum of money Kalai had at first.
Answer: $246.00
SOLUTION 1 :
Before
Kalai
:
Aravindh
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Kalai
:
Aravindh
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $205.00
1 unit
= $205.00 ÷ 5
= $41.00
Step 3:
6 units
= 6 x $41.00
= $246.00
4)
The ratio of the amount of money Anand had to the amount of money Chidambaram had was 2:3. After Anand and Chidambaram had each given $147.00 to fund a carnival, the ratio of Anand's money to Chidambaram's money became 2:4. Find the sum of money Anand had at first.
Answer: $294.00
SOLUTION 1 :
Before
Anand
:
Chidambaram
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Anand
:
Chidambaram
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $147.00
Step 2:
4 units
= 2 x $147.00
= $294.00
5)
The ratio of the amount of savings Murugan had to the amount of savings Kumar had was 2:3. After Murugan and Kumar had each given $117.00 to an old folk's home, the ratio of Murugan's savings to Kumar's savings became 1:3. Find the amount of savings Murugan had at first.
Answer: $156.00
SOLUTION 1 :
Before
Murugan
:
Kumar
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Murugan
:
Kumar
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $117.00
1 unit
= $117.00 ÷ 3
= $39.00
Step 3:
4 units
= 4 x $39.00
= $156.00
6)
The ratio of the amount of money Chidambaram had to the amount of money Moorthi had was 3:4. After Chidambaram and Moorthi had each given $115.00 to charity, the ratio of Chidambaram's money to Moorthi's money became 1:3. Find the sum of money Chidambaram had at first.
Answer: $138.00
SOLUTION 1 :
Before
Chidambaram
:
Moorthi
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Chidambaram
:
Moorthi
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $115.00
1 unit
= $115.00 ÷ 5
= $23.00
Step 3:
6 units
= 6 x $23.00
= $138.00
7)
The ratio of the amount of money Kumar had to the amount of money Balaji had was 1:2. After Kumar and Balaji had each given $282.00 to an organisation, the ratio of Kumar's money to Balaji's money became 1:3. Find the sum of money Kumar had at first.
Answer: $564.00
SOLUTION 1 :
Before
Kumar
:
Balaji
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Kumar
:
Balaji
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $282.00
Step 2:
2 units
= 2 x $282.00
= $564.00
8)
The ratio of the amount of savings Sriram had to the amount of savings Narayanan had was 3:4. After Sriram and Narayanan had each given $160.00 to a fundraiser event, the ratio of Sriram's savings to Narayanan's savings became 2:4. Find the amount of savings Sriram had at first.
Answer: $240.00
SOLUTION 1 :
Before
Sriram
:
Narayanan
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Sriram
:
Narayanan
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $160.00
1 unit
= $160.00 ÷ 4
= $40.00
Step 3:
6 units
= 6 x $40.00
= $240.00
9)
The ratio of the amount of money Raj had to the amount of money Selvan had was 3:4. After Raj and Selvan had each given $265.00 to charity, the ratio of Raj's money to Selvan's money became 1:3. Find the sum of money Raj had at first.
Answer: $318.00
SOLUTION 1 :
Before
Raj
:
Selvan
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Raj
:
Selvan
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $265.00
1 unit
= $265.00 ÷ 5
= $53.00
Step 3:
6 units
= 6 x $53.00
= $318.00
10)
The ratio of the amount of money Karna had to the amount of money Aravindh had was 2:3. After Karna and Aravindh had each given $248.00 to fund a carnival, the ratio of Karna's money to Aravindh's money became 2:4. Find the sum of money Karna had at first.