Mixing
A man spends 80% of his income. If his income is increased by 40% and expenditure is increased by 10%, by...
$begingroup$
Actual Answer is $160%$.
What I have done:
I took his income as $100$. According to the question, his income is increased by $40$ so, $140$.
According to the question, his expenditure is $80$, then his expenditure increased by $10%$ so $90%$.
According to the question, the man's saving is $20$ because $100-80 = 20$, After his expenditure increased by $10%$ his new saving is $50$, i.e $140 - 90 = 50$.
I want to find the percentage of saving is increased, so from saving difference $50 - 20$ is $30$.
$30/20 times 100 = 150%$. I got $150%$, but the answer is $160%$.
percentages
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
$endgroup$
add a comment |
$begingroup$
Actual Answer is $160%$.
What I have done:
I took his income as $100$. According to the question, his income is increased by $40$ so, $140$.
According to the question, his expenditure is $80$, then his expenditure increased by $10%$ so $90%$.
According to the question, the man's saving is $20$ because $100-80 = 20$, After his expenditure increased by $10%$ his new saving is $50$, i.e $140 - 90 = 50$.
I want to find the percentage of saving is increased, so from saving difference $50 - 20$ is $30$.
$30/20 times 100 = 150%$. I got $150%$, but the answer is $160%$.
percentages
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
$endgroup$
4
$begingroup$
10% of increase on 80 is not 90. It is 88.
$endgroup$
– Arpan
Mar 24 '15 at 11:03
add a comment |
$begingroup$
Actual Answer is $160%$.
What I have done:
I took his income as $100$. According to the question, his income is increased by $40$ so, $140$.
According to the question, his expenditure is $80$, then his expenditure increased by $10%$ so $90%$.
According to the question, the man's saving is $20$ because $100-80 = 20$, After his expenditure increased by $10%$ his new saving is $50$, i.e $140 - 90 = 50$.
I want to find the percentage of saving is increased, so from saving difference $50 - 20$ is $30$.
$30/20 times 100 = 150%$. I got $150%$, but the answer is $160%$.
percentages
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
$endgroup$
Actual Answer is $160%$.
What I have done:
I took his income as $100$. According to the question, his income is increased by $40$ so, $140$.
According to the question, his expenditure is $80$, then his expenditure increased by $10%$ so $90%$.
According to the question, the man's saving is $20$ because $100-80 = 20$, After his expenditure increased by $10%$ his new saving is $50$, i.e $140 - 90 = 50$.
I want to find the percentage of saving is increased, so from saving difference $50 - 20$ is $30$.
$30/20 times 100 = 150%$. I got $150%$, but the answer is $160%$.
percentages
percentages
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
edited Mar 24 '15 at 13:36
N. F. Taussig
44.2k93356
44.2k93356
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
asked Mar 24 '15 at 11:01
Joseph PhilipsonJoseph Philipson
6112
6112
4
$begingroup$
10% of increase on 80 is not 90. It is 88.
$endgroup$
– Arpan
Mar 24 '15 at 11:03
add a comment |
4
$begingroup$
10% of increase on 80 is not 90. It is 88.
$endgroup$
– Arpan
Mar 24 '15 at 11:03
4
4
$begingroup$
10% of increase on 80 is not 90. It is 88.
$endgroup$
– Arpan
Mar 24 '15 at 11:03
$begingroup$
10% of increase on 80 is not 90. It is 88.
$endgroup$
– Arpan
Mar 24 '15 at 11:03
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
Logically, An income $I$ is sum of Expenditure/Spending $E$ and Saving $S$.
So,
$I=E+S$
Let's assume that,
His income is $100.
Then, $text E=$80$, and $text S=$20$.
Now, If income is increasing by $40%$, then
$I=I+0.40I=1.40I=1.40*100=140$
And you are also increasing E by 10,
then
$E=1.10E=1.10*80=88$
So,
$S=140-88=52$.
Now, %age increase in saving
$$={frac{(52-20)}{20}}*100=32/20*100=160$$
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
$endgroup$
add a comment |
$begingroup$
Hint : His initial expenditure is $80$. It is increased by $10 %$, so it becomes $frac{110}{100}.80 = 88$ and not $90$.
So his new saving is $52$, which you can check yields the correct answer.
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
$endgroup$
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
add a comment |
$begingroup$
Let income be 100
Expenditure is 80
Saving is 20
New salary 140 i.e 40% of 100+100
New expenditure 80*10/100=8
i.e 80+8=88
New saving =140-88=52
Difference in saving=52-20=32
% of increase in saving =32/20*100=160%
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
$endgroup$
add a comment |
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Logically, An income $I$ is sum of Expenditure/Spending $E$ and Saving $S$.
So,
$I=E+S$
Let's assume that,
His income is $100.
Then, $text E=$80$, and $text S=$20$.
Now, If income is increasing by $40%$, then
$I=I+0.40I=1.40I=1.40*100=140$
And you are also increasing E by 10,
then
$E=1.10E=1.10*80=88$
So,
$S=140-88=52$.
Now, %age increase in saving
$$={frac{(52-20)}{20}}*100=32/20*100=160$$
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
$endgroup$
add a comment |
$begingroup$
Logically, An income $I$ is sum of Expenditure/Spending $E$ and Saving $S$.
So,
$I=E+S$
Let's assume that,
His income is $100.
Then, $text E=$80$, and $text S=$20$.
Now, If income is increasing by $40%$, then
$I=I+0.40I=1.40I=1.40*100=140$
And you are also increasing E by 10,
then
$E=1.10E=1.10*80=88$
So,
$S=140-88=52$.
Now, %age increase in saving
$$={frac{(52-20)}{20}}*100=32/20*100=160$$
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
$endgroup$
add a comment |
$begingroup$
Logically, An income $I$ is sum of Expenditure/Spending $E$ and Saving $S$.
So,
$I=E+S$
Let's assume that,
His income is $100.
Then, $text E=$80$, and $text S=$20$.
Now, If income is increasing by $40%$, then
$I=I+0.40I=1.40I=1.40*100=140$
And you are also increasing E by 10,
then
$E=1.10E=1.10*80=88$
So,
$S=140-88=52$.
Now, %age increase in saving
$$={frac{(52-20)}{20}}*100=32/20*100=160$$
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
$endgroup$
Logically, An income $I$ is sum of Expenditure/Spending $E$ and Saving $S$.
So,
$I=E+S$
Let's assume that,
His income is $100.
Then, $text E=$80$, and $text S=$20$.
Now, If income is increasing by $40%$, then
$I=I+0.40I=1.40I=1.40*100=140$
And you are also increasing E by 10,
then
$E=1.10E=1.10*80=88$
So,
$S=140-88=52$.
Now, %age increase in saving
$$={frac{(52-20)}{20}}*100=32/20*100=160$$
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
answered Mar 24 '15 at 12:08
MonKMonK
1,527515
1,527515
add a comment |
add a comment |
$begingroup$
Hint : His initial expenditure is $80$. It is increased by $10 %$, so it becomes $frac{110}{100}.80 = 88$ and not $90$.
So his new saving is $52$, which you can check yields the correct answer.
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
$endgroup$
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
add a comment |
$begingroup$
Hint : His initial expenditure is $80$. It is increased by $10 %$, so it becomes $frac{110}{100}.80 = 88$ and not $90$.
So his new saving is $52$, which you can check yields the correct answer.
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
$endgroup$
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
add a comment |
$begingroup$
Hint : His initial expenditure is $80$. It is increased by $10 %$, so it becomes $frac{110}{100}.80 = 88$ and not $90$.
So his new saving is $52$, which you can check yields the correct answer.
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
$endgroup$
Hint : His initial expenditure is $80$. It is increased by $10 %$, so it becomes $frac{110}{100}.80 = 88$ and not $90$.
So his new saving is $52$, which you can check yields the correct answer.
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
edited Mar 24 '15 at 16:21
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
answered Mar 24 '15 at 11:06
ArpanArpan
2,399420
2,399420
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
add a comment |
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
$begingroup$
You meant increased by $10%$.
$endgroup$
– N. F. Taussig
Mar 24 '15 at 13:26
add a comment |
$begingroup$
Let income be 100
Expenditure is 80
Saving is 20
New salary 140 i.e 40% of 100+100
New expenditure 80*10/100=8
i.e 80+8=88
New saving =140-88=52
Difference in saving=52-20=32
% of increase in saving =32/20*100=160%
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
$endgroup$
add a comment |
$begingroup$
Let income be 100
Expenditure is 80
Saving is 20
New salary 140 i.e 40% of 100+100
New expenditure 80*10/100=8
i.e 80+8=88
New saving =140-88=52
Difference in saving=52-20=32
% of increase in saving =32/20*100=160%
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
$endgroup$
add a comment |
$begingroup$
Let income be 100
Expenditure is 80
Saving is 20
New salary 140 i.e 40% of 100+100
New expenditure 80*10/100=8
i.e 80+8=88
New saving =140-88=52
Difference in saving=52-20=32
% of increase in saving =32/20*100=160%
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
$endgroup$
Let income be 100
Expenditure is 80
Saving is 20
New salary 140 i.e 40% of 100+100
New expenditure 80*10/100=8
i.e 80+8=88
New saving =140-88=52
Difference in saving=52-20=32
% of increase in saving =32/20*100=160%
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
answered Aug 8 '17 at 20:20
ChmafnChmafn
1
1
add a comment |
add a comment |
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4
$begingroup$
10% of increase on 80 is not 90. It is 88.
$endgroup$
– Arpan
Mar 24 '15 at 11:03