Ratio

Q. Mother is 25 year older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be $\frac{4}{9}$.

Q. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

1. 3 : 3 : 10
2. 23 : 33 : 60
3. Cannot be determined
4. 10 : 11 : 20

Q. If 32 men working 12 hours a day can do a work in 15 days, then how many men working 10 hours a day can do double that work in 24 days? (5 marks)

Q. Question 5
$\frac{7y+4}{y+2}=\frac{-4}{3}$

Q.

What is the ratio of the number of prime numbers to the number of composite numbers between $1$and$30$ with $1$and$30$ inclusive?

Q. One day, the ratio of the number of first class and second class passengers who travelled were 1:30. The ratio of the first and second class fares is 3:1. The total amount collected from the passengers that day was 66000 rupees. What is the amount collected from the first class passengers?

Q.

Question 96

Solve the following:

The perimeter of a rectangle is 240cm. If its length is is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.

Q. y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation and equation of variation.

Q.

Find the ratio of the following.

$2m$ to $125cm$

Q. The total remuneration paid to labourers, employed to harvest soyabeen is in direct variation with the number of labourers. If remuneration of 4 labourers is ₹ 1000, find the remuneration of 17 labourers.

Q.

Fatima, Ganga and Heena bought two packets of sweets, 140 in all. The ratio of the number of sweets Fatima took to the number of sweets Ganga took is 3 : 4. The ratio of the number of sweets Ganga and Heena took is 6 : 7. How many sweets did each take?

Q. Question 8
$15(y-4)-2(y-9)+5(y+6)=0$

Q.

Question 121

The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

Q. Question 3(iii)
Find the products:
$\left(\frac{-10}{3}p{q}^3\right)\times \left(\frac{6}{5}{p}^{3}q\right)$

Q.

Write the ratio of the quantities in the simplest form

$14daysto5week$

Q. The ratio between the exterior angle and interior angle of a regular polygon is $1:4$. Find the number of sides in the polygon.

1. $8$
2. $9$
3. $10$
4. $11$

Q. 72% of 25 students are good in mathematics. How many are not good in mathematics?

Q. 35. The length and breadth of rectangular field are in ratio 9:5.If the area of the field is 14580 square metre , find the cost of surrounding the field with a fence at the rate of Rs 3.25 per metre.

Q.

In a box of toffees and chocolate, there are 40 toffees out of the 100 items in all. The ratio of toffees to the chocolate is:

1. 3:2

2. 3:4

3. 2:3

4. 4:3

Q. Question 22

On dividing $57p^{2}qr$ by $114pq$, we get
a) $\frac{1}{4}pr$
b) $\frac{3}{4}pr$
c) $\frac{1}{2}pr$
d) $2pr$

Q. Amit bought two varieties of wheat A and B at 15/kg and 20/kg respectively. If he mix two varieties A and B in the ratio k : 1, then the rate of the mixture is 18/kg. The value of k is equal to

Q. If the cost of a blue pen is ₹15 and a black pen is ₹20. Find the ratio of cost of blue pen to black pen.

1. 1:2
2. 3:4
3. 2:3
4. 2:5

Q. Present ages of Amit and his father are in the ratio 2:5 respectively. Four years hence the ratio of their ages becomes 5:11 respectively. What was the father's age five years ago?

1. 40 years
2. 45 years
3. 30 years
4. 35 years

Q. Sum of two numbers is in ratio 5:3. If they differ by 18, what are the numbers?

Q. Mr. Harry divided ₹ 84, 630 between Shinchan and Himavari in the ratio 3∶4. How much did each of them get?

Q. Two numbers are in the ratio 3:4. If 4 is added to each of the numbers , the ratio becomes 4:5. Find the product of the numbers.

Q. A group of friends go on a trip. On the journey, two persons decide to drive the whole journey. What is the distance covered by Person 2?

1. 99
2. 152
3. 109
4. 142

Q. What is the ratio by which the C.P. has to be multiplied to get the S.P., if the profit is 10%?

Q. How can 20 pens be divided between Sujay and Ram in the ratio of 4:1?

Q. The ratio between an exterior angle and an interior angle of a regular polygon is $2:3$. Find the number of sides in the polygon.

1. $5$
2. $2$
3. $11$
4. $7$