Mathematics

Percentage

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RPSC LDC 17.02.2012

MEDIUM

If each side of a rectangle increases by 10%, then what will be the percentage increase in its area?

20%

21%

42%

44%

Explanation

Increase in area of rectangle = $10 \times 2 + \frac{10^2}{100} = 20 + 1 = 21\%$ .

Vanrakshak 13.12.2022

MEDIUM

The price of a car is 400% more than the price of a bike. If the price of a car increases by 15% and the price of a bike increases by 20%, then the total increase in the cost of 5 cars and 10 bikes is-

17.5%

16\frac{3}{7}%

18.5%

18.25%

Explanation

Let bike = 100, car = 500. 5 cars = 2500, 10 bikes = 1000. Total = 3500. Increase = $(5 \times 500 \times 0.15) + (10 \times 100 \times 0.20) = 375 + 200 = 575$ . Percentage increase = $\frac{575}{3500} \times 100 = 16\frac{3}{7}\%$ .

पटवार (झालावाड़, झुंझुनूं, नागौर) - 2011

MEDIUM

The total cost of a table and a chair is 430 rupees. If the cost of the table is 15 percent more than the cost of the chair, what is the cost of the table?

240 Rs.

230 Rs.

260 Rs.

290 Rs.

Explanation

Table : Chair = 115 : 100 = 23 : 20. Total parts = 23 + 20 = 43. Total value 430, so 1 part = 10. Table = $23 \times 10 = 230$ .

Police Constable 2014

MEDIUM

In an examination, every student took either Hindi or English or both subjects. 80% of students took Hindi. The number of students taking English is half the number of students taking Hindi. In such a situation, how many students took both subjects?

20%

25%

30%

40%

Explanation

Hindi = 80%, English = 40% (half of 80). Total = 100%. Both = (Hindi + English) - 100 = $80 + 40 - 100 = 20\%$ .

EPFO Exam - 05.09.2021

MEDIUM

In a class, 40% of students are Indian and 50% are girls. If 25% of Indian students are girls, then what percent of non-Indian students are boys?

33.33%

40%

25%

20%

Explanation

Total students = 100. Indian = 40, Non-Indian = 60. Total girls = 50. Indian girls = 25% of 40 = 10. Non-Indian girls = 50 - 10 = 40. Non-Indian boys = 60 - 40 = 20. Required percentage = $\frac{20}{60} \times 100 = 33.33\%$ .

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पटवार (भीलवाड़ा, डूंगरपुर, जालौर) - 2011

MEDIUM

How many percent is the number 60 less than the number 80?

20%

25%

22 1/2%

30%

Explanation

Reduction % = $\frac{80-60}{80} \times 100 = \frac{20}{80} \times 100 = 25\%$

REET (L-II) 24.07.2022

MEDIUM

If 75 is added to 75% of a number to get the same number, then the number is-

300

270

250

225

Explanation

Number = $\frac{100}{100-75} \times 75 = \frac{100}{25} \times 75 = 300$ .

पटवार (जयपुर, सिरोही, उदयपुर) - 2011

MEDIUM

How many grams of water should be added to 9 grams of shaving lotion containing 50% alcohol so that the alcohol content in the lotion becomes 30%?

4 gram

5 gram

6 gram

7 gram

Explanation

Alcohol content = $9 \times 50\% = 4.5$ grams. Now let total quantity after adding water be X, then $X \times 30\% = 4.5$ => $X = 15$ . Thus water added = $15 - 9 = 6$ grams.

पटवार (भीलवाड़ा, डूंगरपुर, जालौर) - 2011

MEDIUM

If the price of sugar increases by 25 percent, by what percentage should a housewife reduce the consumption of sugar so that her monthly expenditure does not increase?

15%

20%

25%

16 2/3%

Explanation

Reduction % = $\frac{25}{100+25} \times 100 = \frac{25}{125} \times 100 = 20\%$

कनिष्ठ लेखाकार - 04.10.2016

MEDIUM

There is 4% sugar in the total water. If 1 litre of water evaporates from 6 litres of water, then what is the percentage of sugar in the remaining water?

10 3/5%

24 4/5%

21 4/5%

Explanation

Quantity of sugar in 6 litres of water = $6 \times \frac{4}{100} = 0.24$ litres. Remaining water after 1 litre evaporates = 5 litres. Percentage quantity of sugar = $\frac{0.24}{5} \times 100 = 4.8\% = 4 \frac{4}{5}\% = \frac{24}{5}\%$ .

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REET (L-II), 11. Feb. 2018

MEDIUM

A target of 10% annual growth has been set in the number of students coming to a university. If this number was 1500 in the year 2016, then how many students will be in the university upon meeting the target in 2018?

1800

1815

1700

1915

Explanation

Number of students in 2018 = $1500 \times (1 + \frac{10}{100})^2 = 1500 \times \frac{110}{100} \times \frac{110}{100} = 1500 \times 1.21 = 1815$ .

पटवार (झालावाड़, झुंझुनूं, नागौर) - 2011

MEDIUM

If C's income is 20 percent more than B's income and B's income is 25 percent more than A's income, then by what percentage is C's income more than A's income?

20%

25%

40%

50%

Explanation

Assume A=100. Then B = $100 \times 1.25 = 125$ . C = $125 \times 1.20 = 150$ . C is 50% more than A.

Patwar 2011

MEDIUM

Anand spends 75% of his income. His income increased by 20% and he increased his expenditure by 10%. By what percent did his savings increase?

40%

45%

50%

55%

Explanation

Let income be 100. Expenditure is 75, savings is 25. New income = 120. New expenditure = $75 \times 1.10 = 82.5$ . New savings = $120 - 82.5 = 37.5$ . Increase = $37.5 - 25 = 12.5$ . Savings percentage increase = $\frac{12.5}{25} \times 100 = 50\%$ .

CET(10+2)-11.02.2023(S-II)

MEDIUM

A wire is cut into two pieces. The larger piece is 60% of the length of the wire. By what percentage is the larger piece longer than the smaller piece? [CET(10+2)-11.02.2023(S-II)]

60%

20%

30%

50%

Explanation

Length of the second piece = $100-60 = 40\%$ . Required percentage = $\frac{60-40}{40} \times 100 = 50\%$ .

Patwar 2011

MEDIUM

Reducing the price of a radio by 30% increases its sales by 20%. What is the effect on the income received by the shopkeeper?

10% increase

10% decrease

16% increase

16% decrease

Explanation

Effective change = $-30 + 20 + \frac{(-30 \times 20)}{100} = -10 - 6 = -16\%$ . Hence 16% decrease.

LDC 11.01.2014

MEDIUM

A student was required to get 36% marks to pass an examination. He obtained 28% marks and was declared failed by 6 marks, then the total marks will be-

Explanation

Passing percentage = 36%, Marks obtained = 28%. Difference = $36-28 = 8\%$ . When difference is 8%, then total marks = 100. When difference is 6, then total marks = $\frac{100}{8} \times 6 = 75$ .

Patwar 2011

MEDIUM

What percent of Rs. 630 is Rs. 7?

1\frac{1}{9}%

2\frac{1}{9}%

3\frac{1}{9}%

4\frac{1}{9}%

Explanation

Percentage = $\frac{7}{630} \times 100 = \frac{1}{90} \times 100 = \frac{10}{9} = 1\frac{1}{9}\%$ .

CET(Gra.)-07.01.2023(S-I)

MEDIUM

Two candidates fought an election. One of them got 65% of the total votes polled and won by 420 votes. If no vote was declared invalid, what is the total number of votes polled? [CET(Gra.)-07.01.2023(S-I)]

1200

1400

1300

1500

Explanation

Votes obtained by the losing candidate = $100-65 = 35\%$ . Total votes = $\frac{420}{65-35} \times 100 = \frac{420}{30} \times 100 = 1400$ .

Vanrakshak 11.12.2022

MEDIUM

If the ratio of cost price and selling price is 5:4, then the percentage loss is-

20%

25%

40%

50%

Explanation

CP = 5, SP = 4. Loss = 1. % Loss = $\frac{1}{5} \times 100 = 20\%$ .

Patwar 2011

MEDIUM

If Neeta's salary is 25 percent more than Payal's salary, then Payal's salary will be how much percent less than Neeta's salary?

25 percent

20 percent

15 percent

32 percent

Explanation

Reduction % = $\frac{100 \times 25}{100+25} = \frac{2500}{125} = 20\%$ .

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