Percentages and Percentage Estimation

Practice percentage calculations, percentage error estimation, and approximation techniques for class VII mathematics

47 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

$120%$ of $45$

  1. $45$
  2. $54$
  3. $34$
  4. $43$
Question 2 Multiple Choice (Single Answer)

Two-third of one-seventh of a number is $87.5$% of $240$. What is the number?

  1. $2670$
  2. $2450$
  3. $2205$
  4. $1470$
Question 3 Multiple Choice (Single Answer)

John estimated that the repairs to his car would cost $200$ rupees. In fact they cost $350$ rupees. What was the percentage error?

  1. $52.85%$
  2. $42.85%$
  3. $32.85%$
  4. $22.85%$
Question 4 Multiple Choice (Single Answer)

You expected to get $50$ gifts for your birthday, but you only got $32$. What was the percentage error?

  1. $51.25%$
  2. $45.25%$
  3. $46.25%$
  4. $56.25%$
Question 5 Multiple Choice (Single Answer)

10% of 60 + 60% of 100 =?

  1. 90
  2. 46
  3. 66
  4. 70
Question 6 Multiple Choice (Single Answer)

After allowing $15$% discount, the selling price of a radio becomes $Rs. 255$. The marked price is

  1. $Rs. 500$
  2. $Rs. 600$
  3. $Rs. 400$
  4. $Rs. 300$
Question 7 Multiple Choice (Single Answer)

Choose the correct answer from the alternatives given.
Some money was lent on $4%$ compound interest. If the difference in interest of second and the first year is $88$, find out the sum.

  1. $Rs. 50,000$
  2. $Rs. 60,000$
  3. $Rs. 65,000$
  4. $Rs. 55,000$
Question 8 Multiple Choice (Single Answer)

$60 % \text { of } 264$ is the same as-

  1. $10 % \text { of } 44$
  2. $15 % \text { of } 1056$
  3. $30 % \text { of } 132$
  4. $17 % \text { of } 544$
Question 9 Multiple Choice (Single Answer)

$0.15 % \text { of } 33 \frac { 1 } { 3 } % \text { of } \mathrm { Rs } .10,000$ is?

  1. $\mathrm { Rs } .0 .05$
  2. $\mathrm { Rs } .5$
  3. $\mathrm { Rs } .105$
  4. $\mathrm { Rs } .150$
Question 10 Multiple Choice (Single Answer)

$45 % \text { of } 1500 + 35 % \text { of } 1700 = ? % \text { of } 3175$

  1. 30
  2. 35
  3. 40
  4. 50
Question 11 Multiple Choice (Single Answer)

To get $55%$ of a number, the number should be multiplied by 

  1. $\dfrac {11}{20}$
  2. $3.5$
  3. $\dfrac {7}{50}$
  4. $0.035$
Question 12 Multiple Choice (Single Answer)

Evaluate approximate value of $15.2$% of $726\times 12.8$% of $643.$

  1. $9562$
  2. $9324$
  3. $9082$
  4. $9710$
Question 13 Multiple Choice (Single Answer)

In an examination in which full marks were $800$. $A$ gets $20%$ more than $B$, $B$ gets $20%$ more than $C$ and $C$ gets $15%$ less than $D$. If $A$ got $576$, what percentage of full marks did $D$ get? ( approximately)?

  1. $45.7$
  2. $51.2$
  3. $58.8$
  4. $61.7$
Question 14 Multiple Choice (Single Answer)

15 litres of a mixture contain 20% milk and the rest water. If 3 litres of water be mixed in it, the percentage of milk in the new mixture will be ..............

  1. 17%
  2. 16$\frac{2}{3}$%
  3. 18$\frac{1}{2}$%
  4. 15%
Question 15 Multiple Choice (Single Answer)

Due to an increase of 30% in the price of eggs. 3  eggs are available for rs. 7.80. The present rate of eggs per dozen is ____.

  1. Rs. 8.64
  2. Rs. 8.88
  3. Rs. 9.36
  4. Rs.10.40
Question 16 Multiple Choice (Single Answer)

What percentage of a day is six hours and 45 minutes?

  1. 7.218%
  2. 8.3%
  3. 28.125%
  4. None of these
Question 17 Multiple Choice (Single Answer)

Which is the greatest ?

  1. $\dfrac{50}{3}%$
  2. $\dfrac{2}{15}$
  3. $0.17$
  4. $6%$
Question 18 Multiple Choice (Single Answer)

Mary expected to $120$ people for her wedding, but only $60$ people appeared. What was the percentage error?

  1. $75%$
  2. $25%$
  3. $55%$
  4. $100%$
Question 19 Multiple Choice (Single Answer)

Tom expected to $100$ people for his marriage party, but only $80$ people appeared. What was the percentage error?

  1. $75%$
  2. $25%$
  3. $55%$
  4. $65%$
Question 20 Multiple Choice (Single Answer)

What is the percentage approximate for the fraction $\dfrac{12}{35}$?

  1. $34.28%$
  2. $23.78%$
  3. $30.12%$
  4. $29.10%$
Question 21 Multiple Choice (Single Answer)

Which of the following statement/formulae is correct for Percentage Error?

  1. $\cfrac { \left| Approx.value-Exact\quad value \right| }{ Exact\quad value } $
  2. $\cfrac { \left| Exact\quad value-Approx.value \right| }{ Exact\quad value } $
  3. $\cfrac { \left| Approx.value-Exact\quad value \right| }{ Approx.value } \quad $
  4. None
Question 22 Multiple Choice (Single Answer)

In the half yearly exam only $70%$ of the students were passed. Out of these(assed in half yearly) only $60%$ students are passed in annual exam. Out of those who did not pass the half yearly exam, $80%$ passed in annual exam. What per cent of the students passed the annual exam?

  1. $42%$
  2. $56%$
  3. $66%$
  4. $38%$
Question 23 Multiple Choice (Single Answer)

I thought 70 people would turn up to the concert, but in fact 80 did. Find the error.

  1. $21.5 %$
  2. $12.5 %$
  3. $13.5 %$
  4. None of these
Question 24 Multiple Choice (Single Answer)

Sam does an experiment to find how long it takes an apple to drop $2$ meters. Sam measures $0.62$ seconds, which is an approximate value. Calculate the error percentage.

  1. $4%$
  2. $3%$
  3. $6%$
  4. None of the above
Question 25 Multiple Choice (Single Answer)

I estimated $260$ people, but $325$ came. Find the error as a percent of the exact value.

  1. $20%$
  2. $40%$
  3. $30%$
  4. None of these
Question 26 Multiple Choice (Single Answer)

The report said the carpark held $240$ cars, but we counted only $ 200$ parking spaces. By what percent the report had error?

  1. $10 %$
  2. $25 %$
  3. $20 %$
  4. None of these
Question 27 Multiple Choice (Single Answer)

You measure the plant to be $80$ cm high (to the nearest cm). If you could be up to $0.5$ cm wrong. Calculate your percentage error.

  1. $0.425%$
  2. $0.525%$
  3. $0.625%$
  4. None of these
Question 28 Multiple Choice (Single Answer)

What is the percentage error in using $\dfrac{22}{7}$ as an approximation for $\pi$?
(Give your answer to the nearest $0.01%$)

  1. $0.02%$
  2. $0.03%$
  3. $0.04%$
  4. None of these
Question 29 Multiple Choice (Single Answer)

The population in $2002$ was $29,000$. It was expected to rise to $34,000$ by $2012$. In fact it rose to $33,000$. What was the percentage error?

  1. $25%$
  2. $15%$
  3. $12.5%$
  4. None of these
Question 30 Multiple Choice (Single Answer)

They forecast 20 mm of rain, but we really got 25 mm. Find the error in percentage.

  1. $-20%$
  2. $-10%$
  3. $10%$
  4. None of these
Question 31 Multiple Choice (Single Answer)

By evaluating $\dfrac{2.8^3\times 1.2^2}{0.56+3.78}$, closest estimate answer is:

  1. $7$
  2. $70$
  3. $0.7$
  4. None of these
Question 32 Multiple Choice (Single Answer)

Pankaj expected to earn $425 in a week. In fact he earned $500. What was the percentage error?

  1. $25%$
  2. $15%$
  3. $11.5%$
  4. None of these
Question 33 Multiple Choice (Single Answer)

I estimated that the repairs to my car would cost $80. In fact they cost $120. What was the percentage error?

  1. $33.3 %$
  2. $30.3 %$
  3. $31.3 %$
  4. None of these
Question 34 Multiple Choice (Single Answer)

Ritika expected to get $50 for her birthday, but she only got $35. What was the percentage error?

  1. $45.9%$
  2. $32.8%$
  3. $42.9%$
  4. None of these
Question 35 Multiple Choice (Single Answer)

Susan tries to read 50 pages of her book every day.  One week (7 days) she only managed to read 280 pages. What was the percentage error?

  1. $25%$
  2. $15%$
  3. $2.5%$
  4. None of these
Question 36 Multiple Choice (Single Answer)

What is the percent error in using $3.14$ as an approximation for $\pi$ (which is $3.14159265358979323846$...) ?

  1. $0.5%$
  2. $0.05%$
  3. $0.005%$
  4. None of these
Question 37 Multiple Choice (Single Answer)

Estimated value of square root of $650$ is

  1. $25.495$
  2. $24.495$
  3. $2.5495$
  4. None of these
Question 38 Multiple Choice (Single Answer)

Round off value of $78.25$m to nearest $10 $m is

  1. $77$ m
  2. $78$ m
  3. $80$ m
  4. None of these
Question 39 Multiple Choice (Single Answer)

In an examination where full marks were $1000$, A gets $20%$ more than B, B gets $20%$ more than C, and C gets $15%$ less than D. If A got $400$, what percentage of full marks did D get approximately ?

  1. $30%$
  2. $35%$
  3. $40%$
  4. $45%$
Question 40 Multiple Choice (Single Answer)

Two numbers are less than a third number by $30%$ and $37%$ respectively. How much percent is the second number less than the first?

  1. $10%$
  2. $15%$
  3. $20%$
  4. $25%$
Question 41 Multiple Choice (Single Answer)

Choose the correct answer from the alternative given. 
A man had $100$ kgs of sugar, part of which he sold at $7%$ profit and rest at $17%$ profit. He gained $10%$ on the whole. How much did he sell at $7%$ profit?

  1. $65$kg
  2. $35$kg
  3. $30$kg
  4. $70$kg
Question 42 Multiple Choice (Single Answer)

$83.33% $ of coins out of $36$ coins are $20$ paise coins and rest are $10$ paise coins which amounts to $6.60$. Find the number of $10$ paise coins.

  1. $8$
  2. $5$
  3. $6$
  4. $2$
Question 43 Multiple Choice (Single Answer)

Choose the correct answer from the alternatives given.
The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increases by 10%. The age of the coach is

  1. 48 year
  2. 44 year
  3. 40 year
  4. 36 year
Question 44 Multiple Choice (Single Answer)

Find the whole quantity if $5%$ of it is $600$.

  1. $3000$
  2. $6000$
  3. $12000$
  4. $15000$
Question 45 Multiple Choice (Single Answer)

Find the value of $6%$ of Rs. $150$.

  1. $6$
  2. $9$
  3. $15$
  4. $None$  $of$  $these$
Question 46 Multiple Choice (Single Answer)

Find the value of $15%$ of $200$ gm.

  1. $30 gms$
  2. $20 gms$
  3. $10 gms$
  4. $15 gms $
Question 47 Multiple Choice (Single Answer)

If $A$ is $150$% of $B$ then $B$ is what percent of $A+B$?

  1. $30$%
  2. $35$%
  3. $40$%
  4. $45$%