Sample QuestionsComparing Quantities questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Avinash bought an electric iron for ₹ 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought for ₹ 1200. On the transaction, he has a
Answer: C.
View full solution →To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him ₹ 360 as
Answer: A.
View full solution →The marked price of an article is ₹ 80 and it is sold at ₹ 76, then the discount rate is
- A
$95\%$
- ✓
$5 \%$
- C
$10 \%$
- D
Approx $11\%$
Answer: B.
View full solution →If a % is the discount per cent on a marked price x, then discount is
- A
$\frac{x}{a} \times 100$
- B
$\frac{a}{x} \times 100$
- ✓
$x \times \frac{a}{100}$
- D
$\frac{100}{x \times a}$
Answer: C.
View full solution →The value of 40% of [100 - 20% of 300] is
Answer: A.
View full solution →To calculate the growth of bacteria, if the rate of growth is known. The formula for calculation of amount in compound interest can be used.
Number of students apperaring for Class X CBSE examination increased from 91422 in 2003-04 to 116054 in 2012 - 13. Increase in the number of students appeared is approximately 27%.
If for the principal $\text P$, rate $\text R \%$ and time $\text T$, the simple interest is SI & compound interest is $\text{Cl.}$ Then, $\text{Cl} > \text{SI}.$
View full solution →The compound interest on ₹ $50000$ at $4 \%$ per annum for 2 yr compounded annually is ₹ $4080.$
View full solution →The compound interest on a sum of ₹ $\text P$ for $\text T$ years at $\text R \%$ per annum compounded annually is given by the formula $\text P\left(1+\frac{\text R}{100}\right)^\text n.$
View full solution →Assertion (A) In simple interest, the growth remains constant. But in the coumpund interest, the growth has been very fast.
Reason (R) In compound interest, the interest is calculated mostly on principal amount. But in simple interest, it is charged on both the principal as well as the accumulated interest.
- A
Both A and R are true and R is the correct explanation of A.
- B
Both A and R are true and R is not the correct explanation of A.
- ✓
A is true but R is false.
- D
A is false but R is true.
Answer: C.
View full solution →Assertion (A) Discount is a reduction given on MP.
Reason (R) Discount $=$ Marked Price $-$ Sale Price
- A
Both A and R are true and R is the correct explanation of A.
- ✓
Both A and R are true and 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) The ratio of 4 cm to 1 m is 1 : 25.
Reason (R) A ratio means comparison between two quantities having same unit.
- A
Both A and R are true and R is the correct explanation of A.
- ✓
Both A and R are true and 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 →Find the population of a city after 2 yr, which is at present 12 lakh, if the rate of increase is 4%.
A machinery worth ₹ 10500 depreciated by 5%. Find Its value after one year.
Find interest and amount to be paid on ₹ 15000 at 5% per annum after 2 yr.
An almirah is sold at ₹ $5 2 2 5$ after allowing a discount of $5 \%$. Find its marked price.
View full solution →A table marked at ₹ 15000 is available for ₹ 14400. Find the discount given and the discount percent.
Find Cl on a sum of ₹ 8000 for 2 yr at 5% per annum compounded annually.
In a primary school, the parents were asked about the number of hours, they spend per day in helping their children to do homework. There were 90 parents, who helped for $\frac{1}{2}\text{h}$ to $1 \frac{1}{2}\text{h}$. The distribution of parents according to the time for which, they said they helped is given in the adjoining figure, $2 0 \%$ helped for more than $1 \frac{1}{2}\text{h}$ per day, $30 \%$ helped for $\frac{1}{2}\text{h}$ to $1 \frac{1}{2} \text{h}, 50 \%$ did not help at all. Using this, answer the following :
(i) How many parents were surveyed?
(ii) How many said that they did not help?
(iii) How many said that they helped for more than $1 \frac{1}{2}\text{h}?$
View full solution →By what per cent is ₹ $2000$ less than ₹ $2400?$ Is it the same as the per cent by which ₹ 2400 is more than ₹ 2000?
View full solution →The population of a place increased to 54000 in 2003 at a rate of $5 \%$ per annum.
(i) Find the population in 2001.
(ii) What would be its population in 2005?
View full solution →Arun bought a pair of skates at a sale, where the discount given was 20%. If the amount he pays is ₹ 1600, then find the marked price.
Asha has some money to spare. She wants to deposit ₹ $15000$ for 3 yr in a bank to earn interest. She has two banks to choose from. Bank A gives an interest of 6% per annum compounded annually and Bank B gives $7\%$ per annum simple interest.
Which bank is better choice for depositing ₹ $15000?$ Justify your choice.
View full solution →Living on your own, Sanjay is looking for one bedroom apartment on rent. At Neelgiri apartments, rent for the first two months is $20\%$ off. The one bedroom rate at Neelgiri is ₹ 6000 per month.
At Savana apartments the first month is $50\%$ off. The one bedroom rate at Savana apartments is ₹ $7000$ per month. Which apartment will be cheaper for the first two months and by how much?
View full solution →In Dethi University, in the year $2009- 10,49000$ seats were available for admission to various courses at graduation level.
Out of these, 28200 seats were for the students of General category, while 7400 seats were reserved for SC and 3700 seats for ST.
Find the percentage of seats availale for
(i) students of General category.
(ii) students of SC and ST categories taken together.
View full solution →Rahim borrowed ₹ $1024000$ from a bank for 2 yr. If the bank charges interest of $2.5\%$ per annum, compounded annually. Then, what amount will be have to pay after the given time period. Also, find the interest paid by him.
View full solution →In $2007-08,$ the number of students appeared for Class X examination was $105332$ and in $2008-09,$ the number was $116054.$ If $88151$ students pass the examination in $2007-08$ and $103804$ students in $2008-09.$ What is the increase or decrease in pass$\%$ in Class X result?
View full solution →Due to the effect of special campaign about 'saving water by state JAL BOARD. Find an average urban Indian uses about 150 L of water every day which is reduces to $10\%.$
The consumption of daily use of water given below| Activities | Litres per peson per day |
| Driking | 3 |
| Cooking | 4 |
| Bathing | 20 |
| Sanitation | 40 |
| Washing clothes | 40 |
| Washing utensils | 20 |
| Gardening | 23 |
| Total | 150 |
(i) What per cent of water is used for bathing and sanitation together per day?
(ii) How much less per cent of water is used for cooking in comparison to that used for bathing?
(iii) What per cent of water is used for drinking, cooking and gardening together?
(iv) What value is depicted from the 'saving water'? View full solution →Match the Column A with Column B
| Column A | Column B |
| (i) The time period after which the interest is added each time to form a new principal is called the | (a) Accrued interest |
| (ii) The discount per cent is calculated on the x of an article. Here, x refers to | (b) Conversion period |
| (iii) The amount due is equal to the principal plus the | (c) Marked price |
| (iv) The amount of money that is earning interest or that you are borrowing is called the | (d) Compound interest |
| (e) Principal |
Ankit buys a memory card costing ₹ 550. If the rate of sales tax is $5 \%$, then find the total amount payable by him.
View full solution →If $\frac{7}{3} \%$ of a number is $\text{147,}$ then find the number.
View full solution →_____________ is the interest calculated on previous year's amount.
The discount on an item for sale is calculated on the _____________.
3500 is a greater than 500 by _____________ $\%.$
View full solution →Ten times a number is _____________ $\%$ increase in the number.
View full solution →_____________ is a reduction on the marked price of the article.