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 Karna had to the amount of money Moorthi had was 1:2. After Karna and Moorthi had each given $245.00 to an organisation, the ratio of Karna's money to Moorthi's money became 1:3. Find the sum of money Karna had at first.
$ ___
Answer:_______________
2)
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 $156.00 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:_______________
3)
The ratio of the amount of savings Aravindh had to the amount of savings Barathan had was 2:3. After Aravindh and Barathan had each given $108.00 to an old folk's home, the ratio of Aravindh's savings to Barathan's savings became 1:3. Find the amount of savings Aravindh had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of money Balaji had to the amount of money Murugan had was 2:3. After Balaji and Murugan had each given $156.00 to fund a carnival, the ratio of Balaji's money to Murugan's money became 2:4. Find the sum of money Balaji had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of money Karna had to the amount of money Pugal had was 3:4. After Karna and Pugal had each given $280.00 to charity, the ratio of Karna's money to Pugal's money became 1:3. Find the sum of money Karna had at first.
$ ___
Answer:_______________
6)
The ratio of the amount of money Balaji had to the amount of money Prem had was 3:4. After Balaji and Prem had each given $155.00 to charity, the ratio of Balaji's money to Prem's money became 1:3. Find the sum of money Balaji had at first.
$ ___
Answer:_______________
7)
The ratio of the amount of money Pugal had to the amount of money Sriram had was 1:2. After Pugal and Sriram had each given $280.00 to an organisation, the ratio of Pugal's money to Sriram's money became 1:3. Find the sum of money Pugal had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of savings Prem had to the amount of savings Sriram had was 3:4. After Prem and Sriram had each given $268.00 to a fundraiser event, the ratio of Prem's savings to Sriram's savings became 2:4. Find the amount of savings Prem had at first.
$ ___
Answer:_______________
9)
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 $237.00 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:_______________
10)
The ratio of the amount of money Sriram had to the amount of money Balaji had was 2:3. After Sriram and Balaji had each given $259.00 to fund a carnival, the ratio of Sriram's money to Balaji's money became 2:4. Find the sum of money Sriram had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Karna had to the amount of money Moorthi had was 1:2. After Karna and Moorthi had each given $245.00 to an organisation, the ratio of Karna's money to Moorthi's money became 1:3. Find the sum of money Karna had at first.
Answer: $490.00
SOLUTION 1 :
Before
Karna
:
Moorthi
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Karna
:
Moorthi
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $245.00
Step 2:
2 units
= 2 x $245.00
= $490.00
2)
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 $156.00 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: $234.00
SOLUTION 1 :
Before
Raj
:
Prem
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Raj
:
Prem
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $156.00
1 unit
= $156.00 ÷ 4
= $39.00
Step 3:
6 units
= 6 x $39.00
= $234.00
3)
The ratio of the amount of savings Aravindh had to the amount of savings Barathan had was 2:3. After Aravindh and Barathan had each given $108.00 to an old folk's home, the ratio of Aravindh's savings to Barathan's savings became 1:3. Find the amount of savings Aravindh had at first.
Answer: $144.00
SOLUTION 1 :
Before
Aravindh
:
Barathan
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Aravindh
:
Barathan
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $108.00
1 unit
= $108.00 ÷ 3
= $36.00
Step 3:
4 units
= 4 x $36.00
= $144.00
4)
The ratio of the amount of money Balaji had to the amount of money Murugan had was 2:3. After Balaji and Murugan had each given $156.00 to fund a carnival, the ratio of Balaji's money to Murugan's money became 2:4. Find the sum of money Balaji had at first.
Answer: $312.00
SOLUTION 1 :
Before
Balaji
:
Murugan
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Balaji
:
Murugan
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $156.00
Step 2:
4 units
= 2 x $156.00
= $312.00
5)
The ratio of the amount of money Karna had to the amount of money Pugal had was 3:4. After Karna and Pugal had each given $280.00 to charity, the ratio of Karna's money to Pugal's money became 1:3. Find the sum of money Karna had at first.
Answer: $336.00
SOLUTION 1 :
Before
Karna
:
Pugal
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Karna
:
Pugal
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $280.00
1 unit
= $280.00 ÷ 5
= $56.00
Step 3:
6 units
= 6 x $56.00
= $336.00
6)
The ratio of the amount of money Balaji had to the amount of money Prem had was 3:4. After Balaji and Prem had each given $155.00 to charity, the ratio of Balaji's money to Prem's money became 1:3. Find the sum of money Balaji had at first.
Answer: $186.00
SOLUTION 1 :
Before
Balaji
:
Prem
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Balaji
:
Prem
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $155.00
1 unit
= $155.00 ÷ 5
= $31.00
Step 3:
6 units
= 6 x $31.00
= $186.00
7)
The ratio of the amount of money Pugal had to the amount of money Sriram had was 1:2. After Pugal and Sriram had each given $280.00 to an organisation, the ratio of Pugal's money to Sriram's money became 1:3. Find the sum of money Pugal had at first.
Answer: $560.00
SOLUTION 1 :
Before
Pugal
:
Sriram
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Pugal
:
Sriram
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $280.00
Step 2:
2 units
= 2 x $280.00
= $560.00
8)
The ratio of the amount of savings Prem had to the amount of savings Sriram had was 3:4. After Prem and Sriram had each given $268.00 to a fundraiser event, the ratio of Prem's savings to Sriram's savings became 2:4. Find the amount of savings Prem had at first.
Answer: $402.00
SOLUTION 1 :
Before
Prem
:
Sriram
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Prem
:
Sriram
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $268.00
1 unit
= $268.00 ÷ 4
= $67.00
Step 3:
6 units
= 6 x $67.00
= $402.00
9)
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 $237.00 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: $316.00
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
= $237.00
1 unit
= $237.00 ÷ 3
= $79.00
Step 3:
4 units
= 4 x $79.00
= $316.00
10)
The ratio of the amount of money Sriram had to the amount of money Balaji had was 2:3. After Sriram and Balaji had each given $259.00 to fund a carnival, the ratio of Sriram's money to Balaji's money became 2:4. Find the sum of money Sriram had at first.