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 Barathan had to the amount of money Balaji had was 3:4. After Barathan and Balaji had each given $235.00 to charity, the ratio of Barathan's money to Balaji's money became 1:3. Find the sum of money Barathan had at first.
$ ___
Answer:_______________
2)
The ratio of the amount of money Pugal had to the amount of money Chidambaram had was 2:3. After Pugal and Chidambaram had each given $273.00 to fund a carnival, the ratio of Pugal's money to Chidambaram's money became 2:4. Find the sum of money Pugal had at first.
$ ___
Answer:_______________
3)
The ratio of the amount of savings Moorthi had to the amount of savings Kalai had was 2:3. After Moorthi and Kalai had each given $129.00 to an old folk's home, the ratio of Moorthi's savings to Kalai's savings became 1:3. Find the amount of savings Moorthi had at first.
$ ___
Answer:_______________
4)
The ratio of the amount of money Balaji had to the amount of money Kalai had was 3:4. After Balaji and Kalai had each given $240.00 to charity, the ratio of Balaji's money to Kalai's money became 1:3. Find the sum of money Balaji had at first.
$ ___
Answer:_______________
5)
The ratio of the amount of savings Kumar had to the amount of savings Kalai had was 3:4. After Kumar and Kalai had each given $176.00 to a fundraiser event, the ratio of Kumar's savings to Kalai's savings became 2:4. Find the amount of savings Kumar had at first.
$ ___
Answer:_______________
6)
The ratio of the amount of money Anand had to the amount of money Murugan had was 1:2. After Anand and Murugan had each given $137.00 to an organisation, the ratio of Anand's money to Murugan's money became 1:3. Find the sum of money Anand had at first.
$ ___
Answer:_______________
7)
The ratio of the amount of money Moorthi had to the amount of money Prem had was 3:4. After Moorthi and Prem had each given $195.00 to charity, the ratio of Moorthi's money to Prem's money became 1:3. Find the sum of money Moorthi had at first.
$ ___
Answer:_______________
8)
The ratio of the amount of money Prem had to the amount of money Kalai had was 2:3. After Prem and Kalai had each given $285.00 to fund a carnival, the ratio of Prem's money to Kalai's money became 2:4. Find the sum of money Prem had at first.
$ ___
Answer:_______________
9)
The ratio of the amount of savings Raj had to the amount of savings Aravindh had was 2:3. After Raj and Aravindh had each given $102.00 to an old folk's home, the ratio of Raj's savings to Aravindh's savings became 1:3. Find the amount of savings Raj had at first.
$ ___
Answer:_______________
10)
The ratio of the amount of money Kumar had to the amount of money Selvan had was 3:4. After Kumar and Selvan had each given $300.00 to charity, the ratio of Kumar's money to Selvan's money became 1:3. Find the sum of money Kumar had at first.
$ ___
Answer:_______________
1)
The ratio of the amount of money Barathan had to the amount of money Balaji had was 3:4. After Barathan and Balaji had each given $235.00 to charity, the ratio of Barathan's money to Balaji's money became 1:3. Find the sum of money Barathan had at first.
Answer: $282.00
SOLUTION 1 :
Before
Barathan
:
Balaji
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Barathan
:
Balaji
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $235.00
1 unit
= $235.00 ÷ 5
= $47.00
Step 3:
6 units
= 6 x $47.00
= $282.00
2)
The ratio of the amount of money Pugal had to the amount of money Chidambaram had was 2:3. After Pugal and Chidambaram had each given $273.00 to fund a carnival, the ratio of Pugal's money to Chidambaram's money became 2:4. Find the sum of money Pugal had at first.
Answer: $546.00
SOLUTION 1 :
Before
Pugal
:
Chidambaram
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Pugal
:
Chidambaram
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $273.00
Step 2:
4 units
= 2 x $273.00
= $546.00
3)
The ratio of the amount of savings Moorthi had to the amount of savings Kalai had was 2:3. After Moorthi and Kalai had each given $129.00 to an old folk's home, the ratio of Moorthi's savings to Kalai's savings became 1:3. Find the amount of savings Moorthi had at first.
Answer: $172.00
SOLUTION 1 :
Before
Moorthi
:
Kalai
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Moorthi
:
Kalai
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $129.00
1 unit
= $129.00 ÷ 3
= $43.00
Step 3:
4 units
= 4 x $43.00
= $172.00
4)
The ratio of the amount of money Balaji had to the amount of money Kalai had was 3:4. After Balaji and Kalai had each given $240.00 to charity, the ratio of Balaji's money to Kalai's money became 1:3. Find the sum of money Balaji had at first.
Answer: $288.00
SOLUTION 1 :
Before
Balaji
:
Kalai
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Balaji
:
Kalai
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $240.00
1 unit
= $240.00 ÷ 5
= $48.00
Step 3:
6 units
= 6 x $48.00
= $288.00
5)
The ratio of the amount of savings Kumar had to the amount of savings Kalai had was 3:4. After Kumar and Kalai had each given $176.00 to a fundraiser event, the ratio of Kumar's savings to Kalai's savings became 2:4. Find the amount of savings Kumar had at first.
Answer: $264.00
SOLUTION 1 :
Before
Kumar
:
Kalai
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Kumar
:
Kalai
:
Difference
2
:
4
:
2
Step 1:
6 units - 2 units
= 4 units
Step 2:
4 units
= $176.00
1 unit
= $176.00 ÷ 4
= $44.00
Step 3:
6 units
= 6 x $44.00
= $264.00
6)
The ratio of the amount of money Anand had to the amount of money Murugan had was 1:2. After Anand and Murugan had each given $137.00 to an organisation, the ratio of Anand's money to Murugan's money became 1:3. Find the sum of money Anand had at first.
Answer: $274.00
SOLUTION 1 :
Before
Anand
:
Murugan
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
After
Anand
:
Murugan
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= $137.00
Step 2:
2 units
= 2 x $137.00
= $274.00
7)
The ratio of the amount of money Moorthi had to the amount of money Prem had was 3:4. After Moorthi and Prem had each given $195.00 to charity, the ratio of Moorthi's money to Prem's money became 1:3. Find the sum of money Moorthi had at first.
Answer: $234.00
SOLUTION 1 :
Before
Moorthi
:
Prem
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Moorthi
:
Prem
:
Difference
1
:
3
:
2
Step 1:
6 units - 1 units
= 5 units
Step 2:
5 units
= $195.00
1 unit
= $195.00 ÷ 5
= $39.00
Step 3:
6 units
= 6 x $39.00
= $234.00
8)
The ratio of the amount of money Prem had to the amount of money Kalai had was 2:3. After Prem and Kalai had each given $285.00 to fund a carnival, the ratio of Prem's money to Kalai's money became 2:4. Find the sum of money Prem had at first.
Answer: $570.00
SOLUTION 1 :
Before
Prem
:
Kalai
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Prem
:
Kalai
:
Difference
2
:
4
:
2
Step 1:
4 units - 2 units
= 2 units
2 units
= $285.00
Step 2:
4 units
= 2 x $285.00
= $570.00
9)
The ratio of the amount of savings Raj had to the amount of savings Aravindh had was 2:3. After Raj and Aravindh had each given $102.00 to an old folk's home, the ratio of Raj's savings to Aravindh's savings became 1:3. Find the amount of savings Raj had at first.
Answer: $136.00
SOLUTION 1 :
Before
Raj
:
Aravindh
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
After
Raj
:
Aravindh
:
Difference
1
:
3
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= $102.00
1 unit
= $102.00 ÷ 3
= $34.00
Step 3:
4 units
= 4 x $34.00
= $136.00
10)
The ratio of the amount of money Kumar had to the amount of money Selvan had was 3:4. After Kumar and Selvan had each given $300.00 to charity, the ratio of Kumar's money to Selvan's money became 1:3. Find the sum of money Kumar had at first.