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.
If $a \%$ is the discount per cent on a marked price $x,$ then discount is:
- A
$\frac{\text{x}}{\text{a}}\times100$
- B
$\frac{\text{a}}{\text{x}}\times100$
- ✓
$\text{x}\times\frac{\text{a}}{100}$
- D
$\frac{100}{\text{x}\times\text{a}}$
Answer: C.
View full solution →Suppose a certain sum doubles in $2$ years at $r \%$ rate of simple interest per annum or at $R\%$ rate of interest per annum compounded annually. We have
- A
$r < R$
- ✓
$R < r$
- C
$R = r$
- D
Answer: B.
View full solution →A bought a tape recorder for $Rs. 8,000$ and sold it to $B. B$ in turn sold it to $C,$ each earning a profit of $20\%.$ Which of the following is true:
- A
$A$ and $B$ earn the same profit.
- B
$A$ earns more profit than $B.$
- ✓
$A$ earns less profit than $B.$
- D
Answer: C.
View full solution →A jacket was sold for $Rs. 1,120$ after allowing a discount of $20\%$. The marked price of the jacket is:
- A
$Rs. 1440$
- ✓
$Rs. 1400$
- C
$Rs. 960$
- D
$Rs. 866.66$
Answer: B.
View full solution →To gain $25\%$ after allowing a discount of $10\%,$ the shopkeeper must mark the price of the article which costs him $Rs. 360$ as:
- ✓
$Rs. 500$
- B
$Rs. 450$
- C
$Rs. 460$
- D
$Rs. 486$
Answer: A.
View full solution →A watch worth Rs. $5400$ is offered for sale at Rs. $4,500$. What per cent discount is offered during the sale?
View full solution →Rain forests are home to $90,000$ of the $2,50,000$ identified plant species in the world. What per cent of the world’s identified plant species are found in rain forests?
View full solution →Store $A$ and Store $B$ both charge Rs. $750$ for a video game. This week the video game is on sale for Rs. $600$ at Store $B$ and for $25%$ off at Store $A$. At which store is the game less expensive?.
View full solution →Prachi bought medicines from a medical store as prescribed by her doctor for Rs. $36.40$ including $4\%$ $VAT$. Find the price before $VAT$ was added.
View full solution →On selling a chair for $Rs. 736$, a shopkeeper suffers a loss of $8\%$. At what price should he sell it so as to gain $8\%$?
View full solution →Achal bought a second-hand car for $Rs. 2,25,000$ and spend $Rs. 25,000$ for repairing. If he sold it for $Rs. 3,25,000$, what is his profit per cent?
View full solution →$S.P. = Rs. 9,250$ and discount = $7\frac{1}{2}\%$
View full solution →A lady bought an air-conditioner for Rs. $15,200$ and spent Rs. $300$ and Rs. $500$ on its transportation and repair respectively. At what price should she sell it to make a gain of $15\%?$
View full solution →In $1975$, the consumption of water for human use was about $3850$ cu.km/year. It increased to about $6000$ cu.km/year in the year $2000$. Find the per cent increase in the consumption of water from $1975$ to $2000$. Also, find the annual per cent increase in consumption (assuming water consumption increases uniformly).
View full solution →The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is $6,31,680$. Last year the migration was 4% and the year before last, it was $6\%$. What was the population two years ago?
View full solution →Babita bought 160 kg of mangoes at $Rs.\ 48$ per kg. She sold $70\%$ of the mangoes at $Rs.\ 70$ per kg and the remaining mangoes at $Rs.\ 40$ per kg. Find Babita’s gain or loss per cent on the whole dealing.
View full solution →A real estate agent receives $Rs. 50,000$ as commission, which is $4\%$ of the selling price. At what price does the agent sell the property?
View full solution →Devangi’s phone subscription charges for the period $17-02-09$ to $16-03-09$ were as follows :
|
Period
|
Amount (in Rs.)
|
Service Tax $\%$
|
|
$17-02-09$ to $23-02-09$
|
$199.75$
|
$12$
|
|
$24-02-09$ to $16-03-09$
|
$599.25$
|
$10$
|
Find the final bill amount if $3\%$ education cess was also charged on service tax. View full solution →
|
Activity
|
Liters per person per day
|
|
Drinking
|
$3$
|
|
Cooking
|
$4$
|
|
Bathing
|
$20$
|
|
Sanitation
|
$40$
|
|
Washing cloths
|
$40$
|
|
Washing utensils
|
$20$
|
|
Gardening
|
$23$
|
|
Total
|
$150$
|
$a.$ What per cent of water is used for bathing and sanitation together per day?
$b.$ How much less per cent of water is used for cooking in comparison to that used for bathing?
$c.$ What per cent of water is used for drinking, cooking and gardening together?Arunima bought household items whose marked price and discount $\%$ is as follows:
|
|
Item
|
Quantity
|
Rate
|
Amount
|
Discount$\%$
|
|
$(a)$
|
Atta
|
$1$ packet
|
$200$
|
$200$
|
$16\%$
|
|
$(b)$
|
Detergent
|
$1$ packet
|
$371$
|
$371$
|
$22.10\%$
|
|
$(c)$
|
Namkeen
|
$1$ packet
|
$153$
|
$153$
|
$18.30%$
|
Find the total amount of the bill she has to pay.
View full solution →The cost price of $10$ tables is equal to the sale price of $5$ tables. The profit per cent in this transaction is ________.
View full solution →Simple interest on a given amount is always less than or equal to the compound interest on the same amount for the same time period and at the same rate of interest per annum.
Four times a number is a _______ $\% $ increase in the number.
View full solution →The value of a car, bought for $Rs. 4,40,000$ depreciates each year by $10\%$ of its value at the beginning of that year. So its value becomes $Rs. 3,08,000$ after three years.
View full solution →The compound interest on $Rs. 8,000$ for one year at $16\%$ p.a.
compounded half yearly is ________ given that $(1.08)^2 = 1.1664.$
View full solution →