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 Kumar had to the amount of money Murugan had was 2:3. After Kumar and Murugan had each given $151.00 to fund a carnival, the ratio of Kumar's money to Murugan's money became 2:4. Find the sum of money Kumar had at first.
$ ___
Answer:_______________
2)
The ratio of the amount of money Raj had to the amount of money Sriram had was 3:4. After Raj and Sriram had each given $215.00 to charity, the ratio of Raj's money to Sriram's money became 1:3. Find the sum of money Raj had at first.
$ ___
Answer:_______________
3)
The ratio of the amount of money Kalai had to the amount of money Sriram had was 1:2. After Kalai and Sriram had each given $218.00 to an organisation, the ratio of Kalai's money to Sriram's money became 1:3. Find the sum of money Kalai had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of savings Pugal had to the amount of savings Anand had was 3:4. After Pugal and Anand had each given $180.00 to a fundraiser event, the ratio of Pugal's savings to Anand's savings became 2:4. Find the amount of savings Pugal had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of money Narayanan had to the amount of money Aravindh had was 3:4. After Narayanan and Aravindh had each given $105.00 to charity, the ratio of Narayanan's money to Aravindh's money became 1:3. Find the sum of money Narayanan had at first.
$ ___
Answer:_______________
6)
The ratio of the amount of savings Aravindh had to the amount of savings Selvan had was 2:3. After Aravindh and Selvan had each given $126.00 to an old folk's home, the ratio of Aravindh's savings to Selvan's savings became 1:3. Find the amount of savings Aravindh had at first.
$ ___
Answer:_______________
7)
The ratio of the amount of money Sriram had to the amount of money Barathan had was 2:3. After Sriram and Barathan had each given $129.00 to fund a carnival, the ratio of Sriram's money to Barathan's money became 2:4. Find the sum of money Sriram had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of money Narayanan had to the amount of money Pugal had was 3:4. After Narayanan and Pugal had each given $230.00 to charity, the ratio of Narayanan's money to Pugal's money became 1:3. Find the sum of money Narayanan had at first.
$ ___
Answer:_______________
9)
The ratio of the amount of money Narayanan had to the amount of money Anand had was 1:2. After Narayanan and Anand had each given $154.00 to an organisation, the ratio of Narayanan's money to Anand's money became 1:3. Find the sum of money Narayanan had at first.
$ ___
Answer:_______________
10)
The ratio of the amount of savings Raj had to the amount of savings Prem had was 3:4. After Raj and Prem had each given $104.00 to a fundraiser event, the ratio of Raj's savings to Prem's savings became 2:4. Find the amount of savings Raj had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Kumar had to the amount of money Murugan had was 2:3. After Kumar and Murugan had each given $151.00 to fund a carnival, the ratio of Kumar's money to Murugan's money became 2:4. Find the sum of money Kumar had at first.
Answer: $302.00
SOLUTION 1 :
Before
Kumar
:
Murugan
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Kumar
:
Murugan
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $151.00
Step 2:
4 units
= 2 x $151.00
= $302.00
2)
The ratio of the amount of money Raj had to the amount of money Sriram had was 3:4. After Raj and Sriram had each given $215.00 to charity, the ratio of Raj's money to Sriram's money became 1:3. Find the sum of money Raj had at first.
Answer: $258.00
SOLUTION 1 :
Before
Raj
:
Sriram
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Raj
:
Sriram
:
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
3)
The ratio of the amount of money Kalai had to the amount of money Sriram had was 1:2. After Kalai and Sriram had each given $218.00 to an organisation, the ratio of Kalai's money to Sriram's money became 1:3. Find the sum of money Kalai had at first.
Answer: $436.00
SOLUTION 1 :
Before
Kalai
:
Sriram
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Kalai
:
Sriram
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $218.00
Step 2:
2 units
= 2 x $218.00
= $436.00
4)
The ratio of the amount of savings Pugal had to the amount of savings Anand had was 3:4. After Pugal and Anand had each given $180.00 to a fundraiser event, the ratio of Pugal's savings to Anand's savings became 2:4. Find the amount of savings Pugal had at first.
Answer: $270.00
SOLUTION 1 :
Before
Pugal
:
Anand
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Pugal
:
Anand
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $180.00
1 unit
= $180.00 ÷ 4
= $45.00
Step 3:
6 units
= 6 x $45.00
= $270.00
5)
The ratio of the amount of money Narayanan had to the amount of money Aravindh had was 3:4. After Narayanan and Aravindh had each given $105.00 to charity, the ratio of Narayanan's money to Aravindh's money became 1:3. Find the sum of money Narayanan had at first.
Answer: $126.00
SOLUTION 1 :
Before
Narayanan
:
Aravindh
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Narayanan
:
Aravindh
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $105.00
1 unit
= $105.00 ÷ 5
= $21.00
Step 3:
6 units
= 6 x $21.00
= $126.00
6)
The ratio of the amount of savings Aravindh had to the amount of savings Selvan had was 2:3. After Aravindh and Selvan had each given $126.00 to an old folk's home, the ratio of Aravindh's savings to Selvan's savings became 1:3. Find the amount of savings Aravindh had at first.
Answer: $168.00
SOLUTION 1 :
Before
Aravindh
:
Selvan
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Aravindh
:
Selvan
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $126.00
1 unit
= $126.00 ÷ 3
= $42.00
Step 3:
4 units
= 4 x $42.00
= $168.00
7)
The ratio of the amount of money Sriram had to the amount of money Barathan had was 2:3. After Sriram and Barathan had each given $129.00 to fund a carnival, the ratio of Sriram's money to Barathan's money became 2:4. Find the sum of money Sriram had at first.
Answer: $258.00
SOLUTION 1 :
Before
Sriram
:
Barathan
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Sriram
:
Barathan
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $129.00
Step 2:
4 units
= 2 x $129.00
= $258.00
8)
The ratio of the amount of money Narayanan had to the amount of money Pugal had was 3:4. After Narayanan and Pugal had each given $230.00 to charity, the ratio of Narayanan's money to Pugal's money became 1:3. Find the sum of money Narayanan had at first.
Answer: $276.00
SOLUTION 1 :
Before
Narayanan
:
Pugal
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Narayanan
:
Pugal
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $230.00
1 unit
= $230.00 ÷ 5
= $46.00
Step 3:
6 units
= 6 x $46.00
= $276.00
9)
The ratio of the amount of money Narayanan had to the amount of money Anand had was 1:2. After Narayanan and Anand had each given $154.00 to an organisation, the ratio of Narayanan's money to Anand's money became 1:3. Find the sum of money Narayanan had at first.
Answer: $308.00
SOLUTION 1 :
Before
Narayanan
:
Anand
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Narayanan
:
Anand
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $154.00
Step 2:
2 units
= 2 x $154.00
= $308.00
10)
The ratio of the amount of savings Raj had to the amount of savings Prem had was 3:4. After Raj and Prem had each given $104.00 to a fundraiser event, the ratio of Raj's savings to Prem's savings became 2:4. Find the amount of savings Raj had at first.