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 Balaji had was 1:2. After Murugan and Balaji had each given $149.00 to an organisation, the ratio of Murugan's money to Balaji's money became 1:3. Find the sum of money Murugan had at first.
$ ___
Answer:_______________
2)
The ratio of the amount of money Narayanan had to the amount of money Chidambaram had was 3:4. After Narayanan and Chidambaram had each given $150.00 to charity, the ratio of Narayanan's money to Chidambaram's money became 1:3. Find the sum of money Narayanan had at first.
$ ___
Answer:_______________
3)
The ratio of the amount of money Pugal had to the amount of money Balaji had was 2:3. After Pugal and Balaji had each given $153.00 to fund a carnival, the ratio of Pugal's money to Balaji's money became 2:4. Find the sum of money Pugal had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of savings Kalai had to the amount of savings Raj had was 2:3. After Kalai and Raj had each given $135.00 to an old folk's home, the ratio of Kalai's savings to Raj's savings became 1:3. Find the amount of savings Kalai had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of money Aravindh had to the amount of money Chidambaram had was 3:4. After Aravindh and Chidambaram had each given $215.00 to charity, the ratio of Aravindh's money to Chidambaram's money became 1:3. Find the sum of money Aravindh 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 $272.00 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 Selvan had to the amount of money Karna had was 1:2. After Selvan and Karna had each given $228.00 to an organisation, the ratio of Selvan's money to Karna's money became 1:3. Find the sum of money Selvan had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of money Anand had to the amount of money Sriram had was 3:4. After Anand and Sriram had each given $225.00 to charity, the ratio of Anand's money to Sriram's money became 1:3. Find the sum of money Anand had at first.
$ ___
Answer:_______________
9)
The ratio of the amount of money Selvan had to the amount of money Prem had was 2:3. After Selvan and Prem had each given $283.00 to fund a carnival, the ratio of Selvan's money to Prem's money became 2:4. Find the sum of money Selvan had at first.
$ ___
Answer:_______________
10)
The ratio of the amount of savings Narayanan had to the amount of savings Aravindh had was 2:3. After Narayanan and Aravindh had each given $129.00 to an old folk's home, the ratio of Narayanan's savings to Aravindh's savings became 1:3. Find the amount of savings Narayanan had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Murugan had to the amount of money Balaji had was 1:2. After Murugan and Balaji had each given $149.00 to an organisation, the ratio of Murugan's money to Balaji's money became 1:3. Find the sum of money Murugan had at first.
Answer: $298.00
SOLUTION 1 :
Before
Murugan
:
Balaji
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Murugan
:
Balaji
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $149.00
Step 2:
2 units
= 2 x $149.00
= $298.00
2)
The ratio of the amount of money Narayanan had to the amount of money Chidambaram had was 3:4. After Narayanan and Chidambaram had each given $150.00 to charity, the ratio of Narayanan's money to Chidambaram's money became 1:3. Find the sum of money Narayanan had at first.
Answer: $180.00
SOLUTION 1 :
Before
Narayanan
:
Chidambaram
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Narayanan
:
Chidambaram
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $150.00
1 unit
= $150.00 ÷ 5
= $30.00
Step 3:
6 units
= 6 x $30.00
= $180.00
3)
The ratio of the amount of money Pugal had to the amount of money Balaji had was 2:3. After Pugal and Balaji had each given $153.00 to fund a carnival, the ratio of Pugal's money to Balaji's money became 2:4. Find the sum of money Pugal had at first.
Answer: $306.00
SOLUTION 1 :
Before
Pugal
:
Balaji
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Pugal
:
Balaji
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $153.00
Step 2:
4 units
= 2 x $153.00
= $306.00
4)
The ratio of the amount of savings Kalai had to the amount of savings Raj had was 2:3. After Kalai and Raj had each given $135.00 to an old folk's home, the ratio of Kalai's savings to Raj's savings became 1:3. Find the amount of savings Kalai had at first.
Answer: $180.00
SOLUTION 1 :
Before
Kalai
:
Raj
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Kalai
:
Raj
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $135.00
1 unit
= $135.00 ÷ 3
= $45.00
Step 3:
4 units
= 4 x $45.00
= $180.00
5)
The ratio of the amount of money Aravindh had to the amount of money Chidambaram had was 3:4. After Aravindh and Chidambaram had each given $215.00 to charity, the ratio of Aravindh's money to Chidambaram's money became 1:3. Find the sum of money Aravindh had at first.
Answer: $258.00
SOLUTION 1 :
Before
Aravindh
:
Chidambaram
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Aravindh
:
Chidambaram
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $215.00
1 unit
= $215.00 ÷ 5
= $43.00
Step 3:
6 units
= 6 x $43.00
= $258.00
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 $272.00 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: $408.00
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
= $272.00
1 unit
= $272.00 ÷ 4
= $68.00
Step 3:
6 units
= 6 x $68.00
= $408.00
7)
The ratio of the amount of money Selvan had to the amount of money Karna had was 1:2. After Selvan and Karna had each given $228.00 to an organisation, the ratio of Selvan's money to Karna's money became 1:3. Find the sum of money Selvan had at first.
Answer: $456.00
SOLUTION 1 :
Before
Selvan
:
Karna
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Selvan
:
Karna
:
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
8)
The ratio of the amount of money Anand had to the amount of money Sriram had was 3:4. After Anand and Sriram had each given $225.00 to charity, the ratio of Anand's money to Sriram's money became 1:3. Find the sum of money Anand had at first.
Answer: $270.00
SOLUTION 1 :
Before
Anand
:
Sriram
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Anand
:
Sriram
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $225.00
1 unit
= $225.00 ÷ 5
= $45.00
Step 3:
6 units
= 6 x $45.00
= $270.00
9)
The ratio of the amount of money Selvan had to the amount of money Prem had was 2:3. After Selvan and Prem had each given $283.00 to fund a carnival, the ratio of Selvan's money to Prem's money became 2:4. Find the sum of money Selvan had at first.
Answer: $566.00
SOLUTION 1 :
Before
Selvan
:
Prem
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Selvan
:
Prem
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $283.00
Step 2:
4 units
= 2 x $283.00
= $566.00
10)
The ratio of the amount of savings Narayanan had to the amount of savings Aravindh had was 2:3. After Narayanan and Aravindh had each given $129.00 to an old folk's home, the ratio of Narayanan's savings to Aravindh's savings became 1:3. Find the amount of savings Narayanan had at first.