Percentage, General Mathematics

Question: An increase of Rs. $60$ in the monthly salary of Madam made it $50%$ of the monthly salary of kamal. What is Madam' s present monthly salary ?
A
Rs. 180

B
$Rs. 240$

C
$Rs. 300$

D
Data inadequate

Note: $M + 60$ $= 50% of K.$ Clearly, M cannot be determined
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Question: From a container having pure milk, $20%$ is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is :
A
$40% pure$

B
$50% pure$

C
$51.2% pure$

D
$58.8% pure$

Note: Let total quantity of original milk $= 1000 gm.$ Milk after first operation $= 80% of 1000$ $= 800 gm.$ Milk after second operation $= 80% of 800$ $= 640 gm.$ Milk after third operation $= 80% of 640$ $= 512 gm.$ :. Strength of final mixture $= 51$ 2%
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Question: A man bought a house for Rs. $5$ lakhs and rents it. He puts $12 1/2%$ of each month's rent aside for repairs, pays Rs. $1660$ as annual taxes and realises $10%$ on his investment thereafter. The monthly rent of the house is :
A
$Rs. 5000$

B
$Rs. 4920$

C
$Rs. 2500$

D
$Rs. 2460$

Note: Suppose monthly rent = Rs. x Then, $12x - (25)/2% of 12x - 1660$ $⇒ 10% of 500000$ $⇒ 12x - (25)/200 xx 12x - 1660$ $⇒ 500000$ $⇒ (21x)/2$ $= 51660 or x$ $= (51660 xx 2/21)$ $= 4920.$
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Question: In a public school, $1/5 th$ of the girls and $1/4 th$ of boys are under $12$ years of age. If the total strength of the school is $1000$ and number of girls is $2/5 th$ of the total, what part of the total strength of the school is accounted for by those which are $12$ years or more of age ?
A
$23%$

B
$45%$

C
$55%$

D
$77%$

Note: Girls $= (2/5 xx 1000)$ $= 400,$ Boys $= 600$ Under $12$ years $= (1/5 xx 400 + 1/4 xx 600)$ $= 230$ Above $12$ years $= (1000 - 230)$ $= 770.$ Required percentage $= (770/1000 xx 100)%$ $= 77%$ .
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Question: The salaries of A and B together amount to Rs. $2000.$ A spends $95%$ of his salary and B, $85%$ of his. If now, their saving are the same, what is A's salary ?
A
$Rs. 1500$

B
$Rs. 1250$

C
$Rs. 750$

D
$Rs. 1600$

Note: Let A's salary = x. Then, B's $= (2000 - x)$ $5% of A$ $= 15% of B, i. e. 5/100 x$ $= 15/100 (2000 - x) or x$ $= 1500.$
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Question: A debtor can pay $87$ paise in the rupee, but if his creditors would take $20%$ of his debts he could pay them and have Rs. $42$ left. His debts and assets respectively are
A
$Rs. 600, Rs. 522$

B
$Rs. 500, Rs. 521$

C
$Rs. 400, Rs. 520$

D
$Rs. 1000, Rs. 525$

Note: Let the total debt = x. Asset with him $= 87/(100) x.$ After paying $20%$ of the debt, he is left with $80%$ of the debt plus Rs. $42.$ $:. 80% of x + 42$ $= 87/(100) x or 87/(100) x - 80/(100) x$ $= 42 or x = 600.$ :. Debt $= Rs. 600 &$ Assets $= 87/100 xx 600$ $= Rs. 522.$
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Question: $300$ grams of sugar solution has $40%$ sugar in it.How much sugar should be added to make it $50%$ in the solution ?
A
$10 gms$

B
$40 gms$

C
$60 gms$

D
$80 gms$

Note: Sugar $= (40/100 xx 300) gms$ $= 120 gms, water$ = 180 gms $Let x gm sugar may be added. Then,(120 + x)/(300 + x) xx 100$ $= 50 ⇒ 240 + 2x$ $= 300 + x ⇒ x = 60.$
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Question: The quantity of water (in ml) needed to reduce $9$ ml shaving lotion containing $50%$ alcohol to a lotion containing $30%$ alcohol, is :
A
$4$

B
$5$

C
$6$

D
$7$

Note: Alcohol in $9$ ml $= (50/100 xx 9) ml$ $= 4.5 ml$ , water $= 4.5 ml.$ Let the water to be added be x ml. Then, $(4.5)/(9 + x) xx 100$ $= 30 ⇒ 450$ $= 270 + 30x ⇒ x = 6 ml$
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Question: To a sugar solution of $3$ litres containing $40%$ sugar, one litre of water is added. The percentage of sugar in the new solution is :
A
$13 1/3%$

B
$15%$

C
$30%$

D
$33%$

Note: Sugar $= (40/100 xx 3) litres$ $= 1.2 litres,$ water $= 1.8 litres$ New percentage $= (1.2/4 xx 100)%$ $= 30%$
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Question: The price of an article is cut by $20%$ . To restore it the former value, the new price must be increased by :
A
$20%$

B
$25%$

C
$16 2/3%$

D
$24%$

Note: Let original price $= 100$ . New price $= 80$ Increase on $80 = 20$ Increase on $100 = (20/80 xx 100)%$ $= 25%$ .
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Question: An increase of Rs. $60$ in the monthly salary of Madam made it $50%$ of the monthly salary of kamal. What is Madam' s present monthly salary ?

Question: From a container having pure milk, $20%$ is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is :

Question: A man bought a house for Rs. $5$ lakhs and rents it. He puts $12 1/2%$ of each month's rent aside for repairs, pays Rs. $1660$ as annual taxes and realises $10%$ on his investment thereafter. The monthly rent of the house is :

Question: The salaries of A and B together amount to Rs. $2000.$ A spends $95%$ of his salary and B, $85%$ of his. If now, their saving are the same, what is A's salary ?

Question: A debtor can pay $87$ paise in the rupee, but if his creditors would take $20%$ of his debts he could pay them and have Rs. $42$ left. His debts and assets respectively are

Question: $300$ grams of sugar solution has $40%$ sugar in it.How much sugar should be added to make it $50%$ in the solution ?

Question: The quantity of water (in ml) needed to reduce $9$ ml shaving lotion containing $50%$ alcohol to a lotion containing $30%$ alcohol, is :

Question: To a sugar solution of $3$ litres containing $40%$ sugar, one litre of water is added. The percentage of sugar in the new solution is :

Question: The price of an article is cut by $20%$ . To restore it the former value, the new price must be increased by :

Question: An increase of Rs. 6060 in the monthly salary of Madam made it 50%50% of the monthly salary of kamal. What is Madam' s present monthly salary ?

Question: From a container having pure milk,20% 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is :

Question: A man bought a house for Rs.5 5 lakhs and rents it. He puts 1212%12 1/2% of each month's rent aside for repairs, pays Rs.16601660 as annual taxes and realises 10%10% on his investment thereafter. The monthly rent of the house is :

Question: The salaries of A and B together amount to Rs.2000.2000. A spends 95%95% of his salary and B,85% 85% of his. If now, their saving are the same, what is A's salary ?

Question: A debtor can pay 8787 paise in the rupee, but if his creditors would take 20%20% of his debts he could pay them and have Rs. 4242 left. His debts and assets respectively are

Question: 300300 grams of sugar solution has 40%40% sugar in it.How much sugar should be added to make it 50%50% in the solution ?

Question: The quantity of water (in ml) needed to reduce 99 ml shaving lotion containing 50%50% alcohol to a lotion containing 30%30%alcohol, is :

Question: To a sugar solution of 33 litres containing 40%40% sugar, one litre of water is added. The percentage of sugar in the new solution is :

Question: The price of an article is cut by 20%20%. To restore it the former value, the new price must be increased by :

Question: An increase of Rs. $60$ in the monthly salary of Madam made it $50%$ of the monthly salary of kamal. What is Madam' s present monthly salary ?

Question: From a container having pure milk, $20%$ is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is :

Question: A man bought a house for Rs. $5$ lakhs and rents it. He puts $12 1/2%$ of each month's rent aside for repairs, pays Rs. $1660$ as annual taxes and realises $10%$ on his investment thereafter. The monthly rent of the house is :

Question: The salaries of A and B together amount to Rs. $2000.$ A spends $95%$ of his salary and B, $85%$ of his. If now, their saving are the same, what is A's salary ?

Question: A debtor can pay $87$ paise in the rupee, but if his creditors would take $20%$ of his debts he could pay them and have Rs. $42$ left. His debts and assets respectively are

Question: $300$ grams of sugar solution has $40%$ sugar in it.How much sugar should be added to make it $50%$ in the solution ?

Question: The quantity of water (in ml) needed to reduce $9$ ml shaving lotion containing $50%$ alcohol to a lotion containing $30%$ alcohol, is :

Question: To a sugar solution of $3$ litres containing $40%$ sugar, one litre of water is added. The percentage of sugar in the new solution is :

Question: The price of an article is cut by $20%$ . To restore it the former value, the new price must be increased by :