Question 1

What is 5% of 4000?

Accepted Answer

5% of 4000 = 5 x 4000/100 = 5 x 40 = 200 Hence, 5% of 4000 = 200.

Question 2

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy toge…

Accepted Answer

Remaining % of amount with Rohan = 100 - (24 + 34 + 17 + 19) = 100 - 94 = 6% => 6% = 540 => 100% = ? 540 x 100/6 = Rs. 9000 Now, Money spent on insurance and food is = 34 + 24 = 58% of 9000 = 58 x 9000/100 = 58 x 90 = Rs. 5220

Question 3

There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ?

Accepted Answer

Let no. of boys be 'B' and no. of girls be 'G' Here from given data, B + G = 1650 .....(1) B - G = 400 .....(2) From (1) & (2), we get 2B = 2050 => B = 1025 => G = 1650 - 1025 = 625 Hence, the % of girls = 625 x 100/1650 => 38% (approx).

Question 4

A Shepherd had n goats in the year 2000. In 2001 the no.of goats increased by 40% . In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew by 30%. In 2004, he sold 10% goats, then he had only 34,398 goats. The percentage increase of…

Accepted Answer

There is no need to use the no of goats i.e (34,398). let initially thete be 1000 goats then 1000 -----> 1400 -----> 980 -----> 1274 ----->1146.6 Thus the % increase = (1146.6-1000)/100 x 100= 14.66%

Question 5

Subbu purchased a tape recorder at 9/10 of its selling price and sold it at 8% more than its selling price. His gain is

Accepted Answer

Let the S.P. be Rs. P Then, C.P. paid by subhash = Rs. (9 x P)/10 S.P. received by subhash = (108% of Rs. P) = Rs. (27 x P) / 25 ∴ Gain = Rs.(27 x P) / 25 - (9 x P) / 10 = Rs. (9 x P) / 50 Hence, Gain% = (9P / 50) x (10P / 9) x 100 % = 20%

Question 6

A man spend 20% of his monthly salary on his children's education and 50% of his salary on food and transport. After Paying the rent of Rs.1000, he is left with Rs.2000. What is his monthly salary?

Accepted Answer

Let his monthly salary be 'P' 20% on children's education = 20 P 100 = P 5 50% on food and transport = 50 P 100 = P 2 1000 on rent => P - P 5 - P 2 - 1000 = 2000 = > 3 P = 30000 = > P = 10000 Therefore, his monthly salary = Rs. 10,000

Question 7

What is 85 of 352?

Accepted Answer

Here 85 of 352 => 85 is what percent in 352 Let p% of 352 is 85 Percentage(%) is generally calculated in the total of 100. => p x 352/100 = 85 => p = 8500/352 = 24.14% Hence, 85 is 24.14% of 352.

Question 8

A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?

Accepted Answer

Number of runs made by running = 180 - (11 x 4 + 8 x 6) = 180 - (92) = 88 Now, we need to calculate 88 is what percent of 180. ⇒ 88 180 × 100 = 48.888%.

Question 9

The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ?

Accepted Answer

Reduction in consumption = P 100 + P X 100% = 25 100 + 25 X 100% = 20%

Question 10

In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement ?

Accepted Answer

Since Area of Rectangle = side1 x side2 Therefore, error% in area = x + y + x y 100 % = [20 - 10 + ( -10 x 20)/100]% or 8% i.e. 8% excess.

Question 11

Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ?

Accepted Answer

Let K = Kalyan's monthly salary N = Nandu's monthly salary S = Sarnesh's monthly salary. Then from given data, 12% of K = 16% of N S = N/2 => N = 2S K = 16/12 x N = 16/12 x 2S = 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

Question 12

Last year vivek saved 10% of his annual earnings, this year he earned 5% more than last year and he saved 12% of his annual earnings. The amount saved this year was what percentage of the amount saved last year ?

Accepted Answer

Suppose total earnings = Rs. 10000 10% saving = 10000 x (10/100) = Rs. 1000 This year 5% more income than prev year = Rs. 10500 12% saving = 10500 x (12/100) = Rs. 1260 Percentage of amount saved = (1260/1000) x 100 = 126%

Question 13

The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ?

Accepted Answer

(100-x)% of 88% of 8400 = 6896 => 100 - x 100 88 100 x 8400 = 6896 => x = 6.709%

Question 14

A duster is of dimension 5x5x7 all in cms, is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ?

Accepted Answer

Imension of the duster is assumed as 5x5x7 cm3 Volume of the duster below the water layer = volume of water increased = πxrxrxh = 3.14×52×2.14 ≈ 168 cm3 Total volume of the duster = 5×5×7 = 175 cm3 Percentage of the duster part below the layer = 168×100/175 = 96% Percentage of the duster part above the layer = 4%

Question 15

5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ?

Accepted Answer

Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.

Question 16

In a school of 1500 boys, 35% are Hindu, 30% are Sikh,15% are Muslims and remainning are Christians. Find number of christian boys in the school ?

Accepted Answer

In that 35% are Hindu, 30% are Sikh, 15% are Muslims => 35 + 30 + 15 = 80% Remaining Boys = 100% - 80% = 20% of 1500 => 20 x 1500/100 = 300 boys are Christians.

Question 17

21% of 500 + 31% of 1100 - 30% of 790 = ?

Accepted Answer

Given 21% of 500 + 31% of 1100 - 30% of 790 = ? ? = 21 x 5 + 31 x 11 - 3 x 79 ? = 105 + 341 - 237 ? = 446 - 237 ? = 209.

Percentage Questions