The ratio of Fatima's income to her savings is 4:1. The percentage of money saved by her is
- A20%
- ✓25%
- C40%
- D80%
Answer: B.
View full solution →Question types
Comparing Quantities question types
122 questions across 10 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
122
Questions
10
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
8 Q→02Assertion (A) & Reason (B) MCQ
4 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
5 Q→051 Marks Question
19 Q→062 Marks Questions
53 Q→075 Marks Questions
3 Q→08case /data -based (4 Marks)
1 Q→09Match the following.
2 Q→103 Marks Question
22 Q→Sample Questions
Comparing Quantities questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Gayatri's income is ₹ 160000 per year. She pays 15% of this as house rent and 10% of the remainder on her child's education. The money left with her is
- A₹ 136000
- B₹ 120000
- ✓₹ 122400
- D₹ 14000
Answer: C.
View full solution →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
- A25%
- B32.5%
- ✓8%
- D50%
Answer: C.
View full solution →The interest on ₹ 30000 for 3 yr at the rate of 15% per annum is
- A₹ 4500
- B₹ 9000
- C₹ 18000
- ✓₹ 13500
Answer: D.
View full solution →What rate gives ₹ 560 as interest on a sum of
₹ 28000 in 1 yr?
- A2.5%
- ✓2%
- C4%
- D1%
Answer: B.
View full solution →Assertion (A) The interest on ₹ 10000 for 6 year at the rate of 20% per annum is ₹ 15000.
Reason (R) Interest, $l=\frac{P \times R \times T}{100}$
Reason (R) Interest, $l=\frac{P \times R \times T}{100}$
- ABoth (A) and (R) are true and (R) is the correct explanation of (A).
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A).
- C(A) is true but (R) is false.
- ✓(A) is false but (R) is true.
Answer: D.
View full solution →Assertion (A) When the cost price is higher than the selling price in a transaction, we lose money.
Reason (R) Loss = Cost Price - Selling Price
Reason (R) Loss = Cost Price - Selling Price
- ✓Both (A) and (R) are true and (R) is the correct explanation of (A).
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A).
- C(A) is true but (R) is false.
- D(A) is false but (R) is true.
Answer: A.
View full solution →Assertion (A) Rohan bought a ball for ₹ 80 and sold it for ₹ 50 than the loss is ₹ 30.
Reason (R) Profit = Selling Price - Cost Price
Reason (R) Profit = Selling Price - Cost Price
- ABoth (A) and (R) are true and (R) is the correct explanation of (A).
- ✓Both (A) and (R) are true but (R) is not the correct explanation of (A).
- C(A) is true but (R) is false.
- D(A) is false but (R) is true.
Answer: B.
View full solution →Assertion (A) If 20% of students are passed out of 40 students, then the number of students passed is 8.
Reason (R) 20% of students out of 40 students = 20% of $40 = \frac{20}{100} \times 40= 8$
Reason (R) 20% of students out of 40 students = 20% of $40 = \frac{20}{100} \times 40= 8$
- ✓Both (A) and (R) are true and (R) is the correct explanation of (A).
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A).
- C(A) is true but (R) is false.
- D(A) is false but (R) is true.
Answer: A.
View full solution →When an improper fraction is converted into percentage, then the answer can also be less than 100.
The interest on ₹ 350 at 5% per annum for 73 days is ₹ 35.
If a chair is bought for ₹ 2000 and is sold at a gain of 10%, then the selling price of the chair is ₹ 2010.
The simple interest on a sum of ₹ P for T years at R% per annum is given by the formula:
Simple Interest= $\frac{T \times P \times R}{100}$
View full solution →Simple Interest= $\frac{T \times P \times R}{100}$
65% is equal to $\frac{5}{3}.$
View full solution →In a class of 50 students, 8% were absent on one day. The number of students present on that day was _____________.
A _____________ with its denominator 100 is called a per cent.
Amount obtained by depositing ₹ 20000 at 8% per annum for six months is _____________.
Rohini bought a bed sheet for ₹ 400 and sold it for ₹ 440. Her _____________ % is _____________.
15 kg is _____________ % of 50 kg.
3500 is given at 7% p.a. rate of interest. Find the interest which will be received at the end of 2 yr.
75% of what number is 15?
9 is 25% of what number?
Find
$12 \frac{1}{2} \%$ of 66
View full solution →$12 \frac{1}{2} \%$ of 66
Find
75% of 12
75% of 12
8% children of a class of 25 like getting wet in the rain. How many children like getting wet in the rain.
What per cent of these figures are shaded?
If 65% of students in a class have a bicycle, what per cent of the students do not have bicycles?
We have a basket full of apples, oranges and mangoes. If 50% are apples, 30% are oranges, then what per cent are mangoes?
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?
Convert each part of the ratio to percentage
(i) 3 : 1
(ii) 2 : 3 : 5
(iii) 1 : 4
(iv) 1 : 2 : 5
(i) 3 : 1
(ii) 2 : 3 : 5
(iii) 1 : 4
(iv) 1 : 2 : 5
Tell what is the profit or loss in the following transactions. Also, find profit per cent or loss per cent in each case.
(i) Gardening shears bought for ₹ 250 and sold for ₹ 325.
(ii) A refrigerator bought for ₹ 12000 and sold at ₹ 13500.
(iii) A cupboard bought for ₹ 2500 and sold at ₹ 3000.
(iv) A skirt bought for ₹ 250 and sold at ₹ 150.
(i) Gardening shears bought for ₹ 250 and sold for ₹ 325.
(ii) A refrigerator bought for ₹ 12000 and sold at ₹ 13500.
(iii) A cupboard bought for ₹ 2500 and sold at ₹ 3000.
(iv) A skirt bought for ₹ 250 and sold at ₹ 150.
Find the whole quantity, If
(i) 5% of it is 600
(ii) 12% of it is ₹ 1080
(iii) 40% of it is 500 km
(iv) 70% of it is 14 minutes
(v) 8% of it is 40 litres
(i) 5% of it is 600
(ii) 12% of it is ₹ 1080
(iii) 40% of it is 500 km
(iv) 70% of it is 14 minutes
(v) 8% of it is 40 litres
Online shopping has increased in the past few years. There are several apps and websites available which allow buyers to purchase goods online.
(i) In a survey, every three out of five people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
(ii) The marked price of a hot water geyser is ₹ 9000. It is available at a discounted price for ₹ 7560 on an online shopping website.
What is the percent reduction in the cost of the geyser?
(iii) Misha spent ₹ 15000 for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online?
(iv) Nisha purchased 20 pairs of earrings for ₹ 200. She pasted colourful beads on the earrings with glue. The beads cost her ₹ 30 and a tube of glue to stick the beads costs ₹ 20.
She sold each pair of earrings for ₹ 40.
After selling all the earrings, how many rupees did she make as profit?
(a) ₹ 250
(b) ₹ 550
(c) ₹ 600
(d) ₹ 800
(v) What percentage profit did Nisha make?
(a) 68.75%
(b) 220%
(c) 320%
(d) 1375%
(i) In a survey, every three out of five people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
(ii) The marked price of a hot water geyser is ₹ 9000. It is available at a discounted price for ₹ 7560 on an online shopping website.
What is the percent reduction in the cost of the geyser?
(iii) Misha spent ₹ 15000 for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online?
(iv) Nisha purchased 20 pairs of earrings for ₹ 200. She pasted colourful beads on the earrings with glue. The beads cost her ₹ 30 and a tube of glue to stick the beads costs ₹ 20.
She sold each pair of earrings for ₹ 40.
After selling all the earrings, how many rupees did she make as profit?
(a) ₹ 250
(b) ₹ 550
(c) ₹ 600
(d) ₹ 800
(v) What percentage profit did Nisha make?
(a) 68.75%
(b) 220%
(c) 320%
(d) 1375%
| Column A | Column B |
| (i) Simple Interest | (a) $\frac{\text { Loss }}{\text { Cost Price }} \times 100$ |
| (ii) Profit % | (b) Expenditure + Saving |
| (iii) Loss % | (c) $\frac{P \times R \times T}{100}$ |
| (iv) Income | (d) $\frac{\text { Profit }}{\text { Cost Price }} \times 100$ |
| Column A | Column B | ||
| (i) | 5% of 40 | (a) | $66 \frac{2}{3} \%$ |
| (ii) | 0.25 | (b) | 1:16 |
| (iii) | $\frac{2}{3}$ | (c) | 2 |
| (iv) | $6 \frac{1}{4} \%$ | (d) | 25% |
An item was sold for ₹ 540 at a loss of 5%. What was its cost price?
An article was sold for ₹ 250 with a profit of 5%. What was its cost price?
If angles of a triangle are in the ratio 2 : 3 : 4. Find the value of each angle.
(i) $35 \%+$ _____________ $\%=100 \%$
(ii) $64 \%+20 \%+$ _____________ $\%=100 \%$
(iii) $45 \%=100 \%-$ _____________ $\%$
(iv) $70 \%=$ _____________ $\%-30 \%$
View full solution →(ii) $64 \%+20 \%+$ _____________ $\%=100 \%$
(iii) $45 \%=100 \%-$ _____________ $\%$
(iv) $70 \%=$ _____________ $\%-30 \%$
Estimate what part of the figures is coloured and hence find the per cent which is coloured
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