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 Moorthi had to the amount of money Aravindh had was 3:4. After Moorthi and Aravindh had each given $160.00 to charity, the ratio of Moorthi's money to Aravindh's money became 1:3. Find the sum of money Moorthi had at first.
$ ___
Answer:_______________
2)
The ratio of the amount of savings Pugal had to the amount of savings Kumar had was 2:3. After Pugal and Kumar had each given $156.00 to an old folk's home, the ratio of Pugal's savings to Kumar's savings became 1:3. Find the amount of savings Pugal had at first.
$ ___
Answer:_______________
3)
The ratio of the amount of savings Narayanan had to the amount of savings Raj had was 3:4. After Narayanan and Raj had each given $208.00 to a fundraiser event, the ratio of Narayanan's savings to Raj's savings became 2:4. Find the amount of savings Narayanan had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of money Raj had to the amount of money Pugal had was 1:2. After Raj and Pugal had each given $207.00 to an organisation, the ratio of Raj's money to Pugal's money became 1:3. Find the sum of money Raj had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of money Kalai had to the amount of money Kumar had was 2:3. After Kalai and Kumar had each given $252.00 to fund a carnival, the ratio of Kalai's money to Kumar's money became 2:4. Find the sum of money Kalai had at first.
$ ___
Answer:_______________
6)
The ratio of the amount of money Anand had to the amount of money Selvan had was 3:4. After Anand and Selvan had each given $200.00 to charity, the ratio of Anand's money to Selvan's money became 1:3. Find the sum of money Anand had at first.
$ ___
Answer:_______________
7)
The ratio of the amount of money Balaji had to the amount of money Anand had was 3:4. After Balaji and Anand had each given $270.00 to charity, the ratio of Balaji's money to Anand's money became 1:3. Find the sum of money Balaji had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of savings Murugan had to the amount of savings Balaji had was 2:3. After Murugan and Balaji had each given $243.00 to an old folk's home, the ratio of Murugan's savings to Balaji's savings became 1:3. Find the amount of savings Murugan had at first.
$ ___
Answer:_______________
9)
The ratio of the amount of savings Murugan had to the amount of savings Kalai had was 3:4. After Murugan and Kalai had each given $192.00 to a fundraiser event, the ratio of Murugan's savings to Kalai's savings became 2:4. Find the amount of savings Murugan had at first.
$ ___
Answer:_______________
10)
The ratio of the amount of money Anand had to the amount of money Balaji had was 1:2. After Anand and Balaji had each given $206.00 to an organisation, the ratio of Anand's money to Balaji's money became 1:3. Find the sum of money Anand had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Moorthi had to the amount of money Aravindh had was 3:4. After Moorthi and Aravindh had each given $160.00 to charity, the ratio of Moorthi's money to Aravindh's money became 1:3. Find the sum of money Moorthi had at first.
Answer: $192.00
SOLUTION 1 :
Before
Moorthi
:
Aravindh
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Moorthi
:
Aravindh
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $160.00
1 unit
= $160.00 ÷ 5
= $32.00
Step 3:
6 units
= 6 x $32.00
= $192.00
2)
The ratio of the amount of savings Pugal had to the amount of savings Kumar had was 2:3. After Pugal and Kumar had each given $156.00 to an old folk's home, the ratio of Pugal's savings to Kumar's savings became 1:3. Find the amount of savings Pugal had at first.
Answer: $208.00
SOLUTION 1 :
Before
Pugal
:
Kumar
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Pugal
:
Kumar
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $156.00
1 unit
= $156.00 ÷ 3
= $52.00
Step 3:
4 units
= 4 x $52.00
= $208.00
3)
The ratio of the amount of savings Narayanan had to the amount of savings Raj had was 3:4. After Narayanan and Raj had each given $208.00 to a fundraiser event, the ratio of Narayanan's savings to Raj's savings became 2:4. Find the amount of savings Narayanan had at first.
Answer: $312.00
SOLUTION 1 :
Before
Narayanan
:
Raj
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Narayanan
:
Raj
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $208.00
1 unit
= $208.00 ÷ 4
= $52.00
Step 3:
6 units
= 6 x $52.00
= $312.00
4)
The ratio of the amount of money Raj had to the amount of money Pugal had was 1:2. After Raj and Pugal had each given $207.00 to an organisation, the ratio of Raj's money to Pugal's money became 1:3. Find the sum of money Raj had at first.
Answer: $414.00
SOLUTION 1 :
Before
Raj
:
Pugal
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Raj
:
Pugal
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $207.00
Step 2:
2 units
= 2 x $207.00
= $414.00
5)
The ratio of the amount of money Kalai had to the amount of money Kumar had was 2:3. After Kalai and Kumar had each given $252.00 to fund a carnival, the ratio of Kalai's money to Kumar's money became 2:4. Find the sum of money Kalai had at first.
Answer: $504.00
SOLUTION 1 :
Before
Kalai
:
Kumar
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Kalai
:
Kumar
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $252.00
Step 2:
4 units
= 2 x $252.00
= $504.00
6)
The ratio of the amount of money Anand had to the amount of money Selvan had was 3:4. After Anand and Selvan had each given $200.00 to charity, the ratio of Anand's money to Selvan's money became 1:3. Find the sum of money Anand had at first.
Answer: $240.00
SOLUTION 1 :
Before
Anand
:
Selvan
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Anand
:
Selvan
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $200.00
1 unit
= $200.00 ÷ 5
= $40.00
Step 3:
6 units
= 6 x $40.00
= $240.00
7)
The ratio of the amount of money Balaji had to the amount of money Anand had was 3:4. After Balaji and Anand had each given $270.00 to charity, the ratio of Balaji's money to Anand's money became 1:3. Find the sum of money Balaji had at first.
Answer: $324.00
SOLUTION 1 :
Before
Balaji
:
Anand
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Balaji
:
Anand
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $270.00
1 unit
= $270.00 ÷ 5
= $54.00
Step 3:
6 units
= 6 x $54.00
= $324.00
8)
The ratio of the amount of savings Murugan had to the amount of savings Balaji had was 2:3. After Murugan and Balaji had each given $243.00 to an old folk's home, the ratio of Murugan's savings to Balaji's savings became 1:3. Find the amount of savings Murugan had at first.
Answer: $324.00
SOLUTION 1 :
Before
Murugan
:
Balaji
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Murugan
:
Balaji
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $243.00
1 unit
= $243.00 ÷ 3
= $81.00
Step 3:
4 units
= 4 x $81.00
= $324.00
9)
The ratio of the amount of savings Murugan had to the amount of savings Kalai had was 3:4. After Murugan and Kalai had each given $192.00 to a fundraiser event, the ratio of Murugan's savings to Kalai's savings became 2:4. Find the amount of savings Murugan had at first.
Answer: $288.00
SOLUTION 1 :
Before
Murugan
:
Kalai
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Murugan
:
Kalai
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $192.00
1 unit
= $192.00 ÷ 4
= $48.00
Step 3:
6 units
= 6 x $48.00
= $288.00
10)
The ratio of the amount of money Anand had to the amount of money Balaji had was 1:2. After Anand and Balaji had each given $206.00 to an organisation, the ratio of Anand's money to Balaji's money became 1:3. Find the sum of money Anand had at first.