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 Sriram had to the amount of money Balaji had was 1:2. After Sriram and Balaji had each given $175.00 to an organisation, the ratio of Sriram's money to Balaji's money became 1:3. Find the sum of money Sriram had at first.
$ ___
Answer:_______________
2)
The ratio of the amount of money Kalai had to the amount of money Kumar had was 3:4. After Kalai and Kumar had each given $290.00 to charity, the ratio of Kalai's money to Kumar's money became 1:3. Find the sum of money Kalai had at first.
$ ___
Answer:_______________
3)
The ratio of the amount of money Barathan had to the amount of money Moorthi had was 3:4. After Barathan and Moorthi had each given $145.00 to charity, the ratio of Barathan's money to Moorthi's money became 1:3. Find the sum of money Barathan had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of savings Murugan had to the amount of savings Selvan had was 2:3. After Murugan and Selvan had each given $201.00 to an old folk's home, the ratio of Murugan's savings to Selvan's savings became 1:3. Find the amount of savings Murugan had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of money Murugan had to the amount of money Kumar had was 2:3. After Murugan and Kumar had each given $212.00 to fund a carnival, the ratio of Murugan's money to Kumar's money became 2:4. Find the sum of money Murugan had at first.
$ ___
Answer:_______________
6)
The ratio of the amount of savings Pugal had to the amount of savings Kumar had was 3:4. After Pugal and Kumar had each given $164.00 to a fundraiser event, the ratio of Pugal's savings to Kumar's savings became 2:4. Find the amount of savings Pugal had at first.
$ ___
Answer:_______________
7)
The ratio of the amount of money Chidambaram had to the amount of money Pugal had was 1:2. After Chidambaram and Pugal had each given $169.00 to an organisation, the ratio of Chidambaram's money to Pugal's money became 1:3. Find the sum of money Chidambaram had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of money Prem had to the amount of money Anand had was 3:4. After Prem and Anand had each given $265.00 to charity, the ratio of Prem's money to Anand's money became 1:3. Find the sum of money Prem had at first.
$ ___
Answer:_______________
9)
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 $205.00 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:_______________
10)
The ratio of the amount of savings Anand had to the amount of savings Balaji had was 2:3. After Anand and Balaji had each given $222.00 to an old folk's home, the ratio of Anand's savings to Balaji's savings became 1:3. Find the amount of savings Anand had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Sriram had to the amount of money Balaji had was 1:2. After Sriram and Balaji had each given $175.00 to an organisation, the ratio of Sriram's money to Balaji's money became 1:3. Find the sum of money Sriram had at first.
Answer: $350.00
SOLUTION 1 :
Before
Sriram
:
Balaji
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Sriram
:
Balaji
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $175.00
Step 2:
2 units
= 2 x $175.00
= $350.00
2)
The ratio of the amount of money Kalai had to the amount of money Kumar had was 3:4. After Kalai and Kumar had each given $290.00 to charity, the ratio of Kalai's money to Kumar's money became 1:3. Find the sum of money Kalai had at first.
Answer: $348.00
SOLUTION 1 :
Before
Kalai
:
Kumar
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Kalai
:
Kumar
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $290.00
1 unit
= $290.00 ÷ 5
= $58.00
Step 3:
6 units
= 6 x $58.00
= $348.00
3)
The ratio of the amount of money Barathan had to the amount of money Moorthi had was 3:4. After Barathan and Moorthi had each given $145.00 to charity, the ratio of Barathan's money to Moorthi's money became 1:3. Find the sum of money Barathan had at first.
Answer: $174.00
SOLUTION 1 :
Before
Barathan
:
Moorthi
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Barathan
:
Moorthi
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $145.00
1 unit
= $145.00 ÷ 5
= $29.00
Step 3:
6 units
= 6 x $29.00
= $174.00
4)
The ratio of the amount of savings Murugan had to the amount of savings Selvan had was 2:3. After Murugan and Selvan had each given $201.00 to an old folk's home, the ratio of Murugan's savings to Selvan's savings became 1:3. Find the amount of savings Murugan had at first.
Answer: $268.00
SOLUTION 1 :
Before
Murugan
:
Selvan
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Murugan
:
Selvan
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $201.00
1 unit
= $201.00 ÷ 3
= $67.00
Step 3:
4 units
= 4 x $67.00
= $268.00
5)
The ratio of the amount of money Murugan had to the amount of money Kumar had was 2:3. After Murugan and Kumar had each given $212.00 to fund a carnival, the ratio of Murugan's money to Kumar's money became 2:4. Find the sum of money Murugan had at first.
Answer: $424.00
SOLUTION 1 :
Before
Murugan
:
Kumar
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Murugan
:
Kumar
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $212.00
Step 2:
4 units
= 2 x $212.00
= $424.00
6)
The ratio of the amount of savings Pugal had to the amount of savings Kumar had was 3:4. After Pugal and Kumar had each given $164.00 to a fundraiser event, the ratio of Pugal's savings to Kumar's savings became 2:4. Find the amount of savings Pugal had at first.
Answer: $246.00
SOLUTION 1 :
Before
Pugal
:
Kumar
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Pugal
:
Kumar
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $164.00
1 unit
= $164.00 ÷ 4
= $41.00
Step 3:
6 units
= 6 x $41.00
= $246.00
7)
The ratio of the amount of money Chidambaram had to the amount of money Pugal had was 1:2. After Chidambaram and Pugal had each given $169.00 to an organisation, the ratio of Chidambaram's money to Pugal's money became 1:3. Find the sum of money Chidambaram had at first.
Answer: $338.00
SOLUTION 1 :
Before
Chidambaram
:
Pugal
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Chidambaram
:
Pugal
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $169.00
Step 2:
2 units
= 2 x $169.00
= $338.00
8)
The ratio of the amount of money Prem had to the amount of money Anand had was 3:4. After Prem and Anand had each given $265.00 to charity, the ratio of Prem's money to Anand's money became 1:3. Find the sum of money Prem had at first.
Answer: $318.00
SOLUTION 1 :
Before
Prem
:
Anand
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Prem
:
Anand
:
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
9)
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 $205.00 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: $246.00
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
= $205.00
1 unit
= $205.00 ÷ 5
= $41.00
Step 3:
6 units
= 6 x $41.00
= $246.00
10)
The ratio of the amount of savings Anand had to the amount of savings Balaji had was 2:3. After Anand and Balaji had each given $222.00 to an old folk's home, the ratio of Anand's savings to Balaji's savings became 1:3. Find the amount of savings Anand had at first.