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Published on: 31/07/2018
In Comparing Quantities contains important questions in CBSE 7th Standard Mathematics. It also covered with the most important questions in Comparing Quantities.
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1.
If cost price of an article is Rs 500 and selling price of that article is Rs 700. Find the gain or loss per cent.
2.
Find 75% of 1 kg
3.
Convert the given fractional numbers to per cents. \({5\over4}\)
4.
60 cows can graze a field in 12 days, then how many cows will graze the same field in 5 days?
5.
Calculate the value of x, if 4 : x :: 1: 4.
6.
Find the whole quantity, if 12% of it is Rs1080
7.
If 65% of students in a class have a bicycle, what per cent of the students do not have bicycles?
8.
Mala has a collection of bangles. She has 20 gold bangles and 10 silver bangles. What is the percentage of bangles of each type? Can you put it in the tabular form as done in the above example?
9.
A man sold two radios for Rs 5000each. On one he gets a gain of 10% and on other a loss of 10%. Find his total gain or loss per cent in the whole transactions.
10.
What is the time period for which Rs 8000 amount to Rs 12000 at 20 per annum of simple interest?
11.
What rate gives Rs 280 as interest on a sum of Rs 56000 in 2 yr?
2.5%
0.25%
25%
0.025%
12.
The sum which will earn a simple interest of Rs 126 in 2 yr at 14% per annum is
Rs 394
Rs395
Rs450
RS 540
13.
If Mohan's income is 25% more than Raman's Income, then Raman's income is less than Mohan's income by
25%
80%
20%
75%
14.
In a scout camp, 40% of the scouts were from Gujarat State and 20% of these were from Ahmedabad. The percentage of scouts in the camp from Ahmedabad is
25%
32.5%
8%
50%
15.
If 5: x = 3: 4, then what will be the value of 'x'?
3/20
15/4
20/3
4/15
16.
Rohini bought a bed sheet for Rs 400 and sold it for Rs 440________________Her % is ______________
17.
In a class of 50 students, 8% were absent on one day. The number of students present on that day was ____________
18.
15 kg is _________________% of 50 kg.
19.
30% of 300 =________________
20.
\(18{3\over4}\%\)=_________________
21.
By selling a book for Rs 50, a shopkeeper suffers a loss of 10%. When the cost price ot book is Rs 60.
22.
65% is equal to \(5\over3\)
23.
\({2\over3}=66{2\over3}\%\)
1.
40% gain
2.
We have, 75% of 1 kg = \({75\over100}\times 1\ kg=0.75\ kg\)
In terms of gram,
75% of 1 kg = 75% of 1000 g [\(\because\) 1 kg = 1000 g]
\(={75\over100}\times1000g=750g\)
Hence, 75% of 1 kg is 0.75 kg or 750 g.
3.
\({5\over4}=({5\over4}\times100)\%=(5\times25)\%=125\%\)
4.
144 cows
5.
16
6.
Let the whole quantity be Rs x
\(\therefore\) 12% of \(x=Rs1080 \Rightarrow {12\over100}\times x=1080\)
\( \Rightarrow x ={1080\times100\over12}=90\times100=9000\)
Hence, the whole quantity is Rs. 9000.
7.
Given, percentage of students having bicycle = 65%
This means that if there were 100 students in a class, out of them, 65 would have bicycles and then remaining students would not have bicycles.
\(\therefore\)The remaining students would not have bicycle
= 100 - 65 = 35
Hence, 35% of students do not have bicycles.
8.
Putting the data in the tabular form, we get
| Bangles | Number | Fraction | Denominator Hundred | In Percentage |
| Gold | 20 | \({20\over30}\) | \({20\over30}\times{100\over100}={200\over3}\times{1\over100}\) | \(66.67\% or 66{2\over3}\%\) |
| Silver | 10 | \({10\over30}\) | \({10\over30}\times{100\over100}={100\over3}\times{1\over100}\) | \(33.33\% or 33{1\over3}\%\) |
| Total | 30 |
9.
Selling price of each radio = Rs 5000
Let the cost price of each radio be Rs x.
10% profit on one radio
i.e.\({110\over 100}\times x=5000\)
\(x={5000\over 110}\times100={50000\over11}=Rs.4545.45\)
10% loss on other radio i,e, \( {90\over100}\times x =5000\)
\( x={5000\times100\over 90}={50000\over 9}=Rs5555.55\)
Total cost price = Rs 4545.45 + Rs 5555.55 = Rs 10101
Loss = Total cost price - Total selling price
=Rs 10101- Rs10000=Rs 101
[\(\because\) Total selling price = 2 x 5000 = 10000]
\(\therefore\)\(Loss \%={Loss\over cost \ price}\times 100\)
\(={101\over10101}\times 100={10100\over10101}=10\%\)
Hence, 10% loss in the whole transactions.
10.
2.5yr
11.
(b)
0.25%
12.
(c)
Rs450
13.
(c)
20%
14.
(c)
8%
15.
(c)
20/3
16.
( )
Profit% is 10%
17.
( )
46
18.
( )
30%
19.
( )
90
20.
( )
3:16
21.
(b)
22.
(b)
23.
(a)
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