Percentages and Percentage Estimation
Practice percentage calculations, percentage error estimation, and approximation techniques for class VII mathematics
Questions
$120%$ of $45$
- $45$
- $54$
- $34$
- $43$
Two-third of one-seventh of a number is $87.5$% of $240$. What is the number?
- $2670$
- $2450$
- $2205$
- $1470$
John estimated that the repairs to his car would cost $200$ rupees. In fact they cost $350$ rupees. What was the percentage error?
- $52.85%$
- $42.85%$
- $32.85%$
- $22.85%$
You expected to get $50$ gifts for your birthday, but you only got $32$. What was the percentage error?
- $51.25%$
- $45.25%$
- $46.25%$
- $56.25%$
10% of 60 + 60% of 100 =?
- 90
- 46
- 66
- 70
After allowing $15$% discount, the selling price of a radio becomes $Rs. 255$. The marked price is
- $Rs. 500$
- $Rs. 600$
- $Rs. 400$
- $Rs. 300$
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.
- $Rs. 50,000$
- $Rs. 60,000$
- $Rs. 65,000$
- $Rs. 55,000$
$60 % \text { of } 264$ is the same as-
- $10 % \text { of } 44$
- $15 % \text { of } 1056$
- $30 % \text { of } 132$
- $17 % \text { of } 544$
$0.15 % \text { of } 33 \frac { 1 } { 3 } % \text { of } \mathrm { Rs } .10,000$ is?
- $\mathrm { Rs } .0 .05$
- $\mathrm { Rs } .5$
- $\mathrm { Rs } .105$
- $\mathrm { Rs } .150$
$45 % \text { of } 1500 + 35 % \text { of } 1700 = ? % \text { of } 3175$
- 30
- 35
- 40
- 50
To get $55%$ of a number, the number should be multiplied by
- $\dfrac {11}{20}$
- $3.5$
- $\dfrac {7}{50}$
- $0.035$
Evaluate approximate value of $15.2$% of $726\times 12.8$% of $643.$
- $9562$
- $9324$
- $9082$
- $9710$
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)?
- $45.7$
- $51.2$
- $58.8$
- $61.7$
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 ..............
- 17%
- 16$\frac{2}{3}$%
- 18$\frac{1}{2}$%
- 15%
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 ____.
- Rs. 8.64
- Rs. 8.88
- Rs. 9.36
- Rs.10.40
What percentage of a day is six hours and 45 minutes?
- 7.218%
- 8.3%
- 28.125%
- None of these
Which is the greatest ?
- $\dfrac{50}{3}%$
- $\dfrac{2}{15}$
- $0.17$
- $6%$
Mary expected to $120$ people for her wedding, but only $60$ people appeared. What was the percentage error?
- $75%$
- $25%$
- $55%$
- $100%$
Tom expected to $100$ people for his marriage party, but only $80$ people appeared. What was the percentage error?
- $75%$
- $25%$
- $55%$
- $65%$
What is the percentage approximate for the fraction $\dfrac{12}{35}$?
- $34.28%$
- $23.78%$
- $30.12%$
- $29.10%$
Which of the following statement/formulae is correct for Percentage Error?
- $\cfrac { \left| Approx.value-Exact\quad value \right| }{ Exact\quad value } $
- $\cfrac { \left| Exact\quad value-Approx.value \right| }{ Exact\quad value } $
- $\cfrac { \left| Approx.value-Exact\quad value \right| }{ Approx.value } \quad $
- None
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?
- $42%$
- $56%$
- $66%$
- $38%$
I thought 70 people would turn up to the concert, but in fact 80 did. Find the error.
- $21.5 %$
- $12.5 %$
- $13.5 %$
- None of these
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.
- $4%$
- $3%$
- $6%$
- None of the above
I estimated $260$ people, but $325$ came. Find the error as a percent of the exact value.
- $20%$
- $40%$
- $30%$
- None of these
The report said the carpark held $240$ cars, but we counted only $ 200$ parking spaces. By what percent the report had error?
- $10 %$
- $25 %$
- $20 %$
- None of these
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.
- $0.425%$
- $0.525%$
- $0.625%$
- None of these
What is the percentage error in using $\dfrac{22}{7}$ as an approximation for $\pi$?
(Give your answer to the nearest $0.01%$)
- $0.02%$
- $0.03%$
- $0.04%$
- None of these
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?
- $25%$
- $15%$
- $12.5%$
- None of these
They forecast 20 mm of rain, but we really got 25 mm. Find the error in percentage.
- $-20%$
- $-10%$
- $10%$
- None of these
By evaluating $\dfrac{2.8^3\times 1.2^2}{0.56+3.78}$, closest estimate answer is:
- $7$
- $70$
- $0.7$
- None of these
Pankaj expected to earn $425 in a week. In fact he earned $500. What was the percentage error?
- $25%$
- $15%$
- $11.5%$
- None of these
I estimated that the repairs to my car would cost $80. In fact they cost $120. What was the percentage error?
- $33.3 %$
- $30.3 %$
- $31.3 %$
- None of these
Ritika expected to get $50 for her birthday, but she only got $35. What was the percentage error?
- $45.9%$
- $32.8%$
- $42.9%$
- None of these
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?
- $25%$
- $15%$
- $2.5%$
- None of these
What is the percent error in using $3.14$ as an approximation for $\pi$ (which is $3.14159265358979323846$...) ?
- $0.5%$
- $0.05%$
- $0.005%$
- None of these
Estimated value of square root of $650$ is
- $25.495$
- $24.495$
- $2.5495$
- None of these
Round off value of $78.25$m to nearest $10 $m is
- $77$ m
- $78$ m
- $80$ m
- None of these
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 ?
- $30%$
- $35%$
- $40%$
- $45%$
Two numbers are less than a third number by $30%$ and $37%$ respectively. How much percent is the second number less than the first?
- $10%$
- $15%$
- $20%$
- $25%$
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?
- $65$kg
- $35$kg
- $30$kg
- $70$kg
$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.
- $8$
- $5$
- $6$
- $2$
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
- 48 year
- 44 year
- 40 year
- 36 year
Find the whole quantity if $5%$ of it is $600$.
- $3000$
- $6000$
- $12000$
- $15000$
Find the value of $6%$ of Rs. $150$.
- $6$
- $9$
- $15$
- $None$ $of$ $these$
Find the value of $15%$ of $200$ gm.
- $30 gms$
- $20 gms$
- $10 gms$
- $15 gms $
If $A$ is $150$% of $B$ then $B$ is what percent of $A+B$?
- $30$%
- $35$%
- $40$%
- $45$%