Word Problems

Q. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain $20\%$?

1. 4
2. 5
3. 6
4. 3

Q.

Sex ratio is defined as the number of females per 1000 males in the population. Find the sex ratio, if there are 3732 females per 4000 males in a town.

Q.

Question 2(e) :

Solve:

$\frac{12}{15}-\frac{7}{15}$

Q.

A started a business with $Rs$.$2,70,000$and was joined by B three months afterward. How much money did B invest if the profit share of A at the end of the year was three-fifth of the total profit?

Q.

Find $15\%\text{of}250$.

Q.

The ratio of income to savings of a family $11:2$ find the expenditure if the saving is $Rs.1520$.

Q.

Convert each part of the ratio to percentage: $3:1$.

Q.

How to divide 75 dhs in the ratio 2:3 between A and B? ( step by step )

Q.

What fraction of a day is $8$ hours?

Q.

How many $\mathrm{minutes}$are there in a $\mathrm{week}$?

Q.

Question 4
Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarized as follows. Find the mean heart beats per minute for these women, choosing a suitable method.

$\begin{array}{cccccccc}\text{Number of heart beats per minute}& 65-68& 68-71& 71-74& 74-77& 77-80& 80-83& 83-86\\ \text{Number of women}& 2& 4& 3& 8& 7& 4& 2\end{array}$

Q.

The angles of triangle are in the ratio $3:4:5$. Find the angles of triangle.

Q. Express the following statement in the percentage form:
$13\text{out of}20$

Q.

The price of commodity x increase by 40 paisa every year , while the price of commodity y increase by 15 paisa every year . If in 2001, the price of x was RS 4.20 and that of y was RS 6.30 in which year commodity x will cost 40 paisa more than the commodity y .

Q.

Express $25\mathrm{m}/\mathrm{s}$ In kmph?

1. $15\mathrm{Kmph}$

2. $99\mathrm{Kmph}$

3. $90\mathrm{Kmph}$

4. None

Q.

Write two prime numbers whose difference is$10$.

Q. What is the ratio of vowels to consonants?

1. 5:26

2. 21:5

3. 5:21

4. 1:26

Q.

Ravi and Rani started a business and invested money in the ratio 2 : 3. After one year the total profit was Rs 40, 000. What are the shares of Ravi and Rani in the profit? [4 MARKS]

Q.

Find $1\%$ of $1$ hour.

Q.

Consider the following distribution of daily wages of 50 workers of a factory.

$\begin{array}{cccccc}\text{Daily wages (in Rs)}& 100-120& 120-140& 140-160& 160-180& 180-200\\ \text{Number of workers}& 12& 14& 8& 6& 10\end{array}$

Find the mean daily wages of the workers of the factory by using an appropriate method.

Q.

Divide $Rs.60$ in the ratio $1:2$ between a and b.

Q.

Find

$25\%$ of $400$

Q.

4.5gram of alloy of coppor and zinc contains 3.5gram of coppor what weight of coppor will be there in18.9 of alloy

Q.

2 men and 7 women can do a piece of work in 4 days, while 4 men and 4 women can do the same work in 3 days . How many would it take one men and one women to do it ?

Q.

Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

Q.

Is lead heavier than steel?

Q.

In a test, (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer.
i. Radhika answered all the questions, scored 30 marks and got 10 correct answers
ii. Jay also answered all the questions, scored (-12) marks though he got 4 correct answers.
How many incorrect answers they attempted together?

1. 24

2. 22

3. 28

4. 26

Q.

If $12$ litre diesel is consumed by a car in covering a distance of $222km,$ how many ${}^{\prime }k{m}^{\prime }$ will it go in $22$ litre of diesel.

Q.

Question 79 (i)

Solve: $\frac{29}{4}-\frac{30}{7}$

Q.

The total cost of flooring a rectangular room at Rs. 8.50 per sq. metre is Rs. 510. If the length of the room is 8 m, what is the breadth?

1. 6.7 cm

2. 7.5 m

3. 5.7 cm

4. 7.6 m