Percentages

Q.

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25\%$, then the value of $x$ is:

1. 15

2. 16

3. 25

4. 30

Q.

If selling price is doubled, the profit triples. Find the profit percent :

1. 100%

2. None of these

3. 120%

4. 66(2/3)%

5. 105(1/3)%

Q.

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

1. Rs. 1160

2. Rs. 1190

3. Rs. 1202

4. Rs.1305

5. Rs. 1090

Q. If the side of a square is increased by$25\%$, then its area is increased by how many percent?

1. > 60%
2. 50%
3. 58%
4. 56.25%

Q.

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

1. 4(4/7)%

2. 5(5/11)%

3. 10%

4. 13%

5. 12%

Q. A jar contains a mixture of two liquids A and B in the ratio 4: 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ration becomes 2 : 3.
How many litres of liquid A was contained in the jar?

1. 14 litres
2. 18 litres
3. None of these
4. 20 litres
5. 16 litres

Q.

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B Rs. 8400 for 5 months and C, Rs. 10, 000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

1. Rs.1900

2. Rs.2660

3. Rs.2550

4. Rs.2450

Q. A, B and C entered into a partnership by investing Rs 12000, Rs 15000 and Rs 18000, respectively. A is also a working partner and receiving 15% of the annual profit for his work. If B and C received Rs 8500 and Rs 10200 from the annual profit as their shares, what amount did A receive from the annual profit?

1. None of the above
2. Rs 11, 500
3. Rs 14, 000
4. Rs 11, 300
5. Rs 10, 500

Q. After receiving two successive raises. Hursh's salary became equal to $\frac{15}{8}$ times of his initial salary. By how much percent was the salary raised the first time if the second raise was twice as high (in percent) as the first?

1. 15%
2. 20%
3. 25%
4. 30%

Q. A began a business with Rs 45000 and was joined afterwards by B with Rs 54000. After how many months did B join, if the profits at the end of the year were divided in the ratio 2:1?

1. 5
2. 6
3. None of the above
4. 7
5. 4

Q. A, B and C invested Rs 10000, Rs 14000 and Rs 12000, respectively in a business. If at the end of a year, they got a profit of Rs 5400, the share of B of the profit (if profit is divided in proportion to the investment of each) is:

1. Rs 1800
2. Rs 1700
3. None of the above
4. Rs 1500
5. Rs 2100

Q.

The ratio of the cost price and the selling price is 4: 5. The profit percent is :

1. 35%

2. 10%

3. 20%

4. 25%

5. 30%

Q.

If the price of petrol increases by 35% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

1. 20%

2. 30%

3. 40%

4. 15%

Q.

What percentage of numbers from 1 to 50 have 1 or 9 in the unit's digit?

1. 10%

2. 12.5%

3. 15%

4. 17.5%

5. 20%

Q.

The ratio of the salary of two persons X and Y is 5:8. If the salary of X increases by 60% and that of Y decreases by 35% then the new ratio of their salaries become 20:13. What is X’s salary?

1. 15000

2. 18000

3. 21000

4. Data insufficient

5. None of these

Q. In an examination out of 80 students, 85% of the girls and 70% of the boys passed. How many boys appeared for the examination if the total pass percentage is 75%?

1. 360
2. None of the above
3. 370
4. 320
5. 340

Q.

The ratio of marks obtained by Vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted.

1. 100

2. 200

3. 300

4. 400

5. None

Q.

A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:

1. Rs. 110

2. Rs. 120

3. Rs. 125

4. Rs. 150

5. Rs.159

Q. The length of a rectangle is increased by $a=30\%$ and breadth is decreased by $b=25\%$ . What is the percentage change in the area of the rectangle?

1. none of these
2. 5% increase
3. 2.5% decrease
4. 2.5% increase

Q.

A person saves 40% of his monthly salary. If his monthly expenditure is Rs. 5400, then his monthly savings, in rupees is ____.

1. 3600

2. 1800

3. 7200

4. 2400

5. None of These

Q.

Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?___

Q.

By selling an article at 2/5 of the marked price, there is a loss of 25%. The ratio of the marked price and the cost price of the article is:

1. 5 : 2

2. 2 : 5

3. 8 : 15

4. 15 : 8

Q.

In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to

1. 13

2. 10

3. 16

4. 7

Q.

A butler stole wine from a butt of sherry which contained 40$\%$ alcohol. He replaced what he had stolen by wine containing only 16$\%$ alcohol. The resultant butt was then of 24$\%$ strength. How much of the butt did he steal?

1. 

2. 

3. 

4. 

Q.

A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:

1. Less than 20% profit

2. More than 20% profit

3. Data insufficient

4. 20% profit

5. No profit, no loss

Q. The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers becomes 1:2. The smaller number is:

1. None of these
2. 60
3. 30
4. 40
5. 84

Q.

Mohan’s expenditures and savings are in the ratio of 4$:$1. There is a 20$\%$ increase in his income. If his savings are increased by 12$\%$, by how much$\%$ should his expenditure increase?

1. 18%

2. 16%

3. 20%

4. 22%

5. 24%

Q.

A person could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how percentage has his expenditure increased?

1. None of these

2. $23\frac{1}{3}\%$

3. $24\frac{2}{9}\%$

4. $22\frac{2}{9}\%$

5. $25\frac{2}{9}\%$

Q. A $10\%$ solution is one in which 10 gm of solute is dissolved in 100 gm of water. On heating the solution water evaporates. So, 1 kg of the $10\%$ solution is reduced to 0.4 kg. What is its concentration now?

1. 32.6%
2. 14.8%
3. 22.7%
4. 29.4%

Q.

The incomes of A and B are in the ratio 3:2 and their expenditures are in the ratio 5:3, if each saves Rs 2000, what are their expenditures respectively?

1. 10000, 6000

2. 6000, 10000

3. 8000, 2000

4. 2000, 8000

5. none