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CHAPTER 1 RATIO

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Marks: 30

Q.   1

Shivani weights 56.7 kg. If he reduces his weight in the ratio 7: 6, find his new weight.

Q.   2

Two numbers are respectively 20% and 50% more than a third number. The
ratio of the two numbers is:

Q.   3

A sum of money is to be distributed among A, B, C and D in the proportion of
5: 2: 4: 3. If c gets Rs. 1000 more than D, what is B’s share?

Q.   4

The sum of three numbers is 98. If the ratio of the first to second is 2:3 and
that of the second to the third is 5:8, then the second number is:

Q.   5

If Rs. 782 be divided into three parts, proportional to 𝟏/𝟐 : 𝟐/𝟑 ∶ 𝟑/𝟒, then the first part is:

Q.   6

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?

Q.   7

If 40% of a number is equal to two-third of another number, what is the ratio
of first number the second number?

Q.   8

The fourth proportional to 5, 8, 15 is:

Q.   9

Two number are in the ratio 3: 5. If 9 is subtracted from each, the new
numbers are in the ratio 12:23. The smaller number is:

Q.   10

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2: 3. If there is
Rs. 30 in all, how many 5 p coins are there?

Q.   11

The ratio of market prices of wheat and paddy is 2:3 and the ratio of
quantities consumed in a family is 5:4. Find the ratio expenditure of wheat and paddy.

Q.   12

If A: B = 2:3, B:C = 4:5 and C: D = 6:7, then find the value of A: B:C:D

Q.   13

The value of 𝐥𝐨𝐠𝟐 (𝐥𝐨𝐠𝟓 625) is:

Q.   14

Log144 is equal to:

Q.   15

Price of each article of type P, Q AND R is Rs. 300, Rs. 180 and Rs. 12
Respectively. Suresh buys articles of each type in the ratio 3:2:3 in Rs. 6480. How many articles of type Q did he purchase?

Q.   16

Ajay and Raj together have Rs. 1050. On taking Rs. 150 from Ajay will have
same amount as what Raj had earlier. Find the ratio of amounts with Ajay and Raj initially.

Q.   17

The three numbers are in the ratio ½: 2/3: ¾. The difference between
greatest and smallest numbers is 36. Find the numbers.

Q.   18

If log3y = 100 and log3x = 10, then the value of y is:

Q.   19

The third proportional between a2 – b2 and (a + b)2 is

Q.   20

The ratio of numbers of girls and boys participating in sports of a school is
4:5. If the number of girls is 212, determine the number of boys participating
in the sports.

Q.   21

Income ratio of Ramesh and Suresh is 5:6. Their spending ratio is 7:9, Ramesh
saves 4000 and Suresh saves 3000. Income and spending respectively of Ramesh and Suresh are

Q.   22

Find A: B: C: D when A: B = 2:3; B:C = 7:9; C:D = 5:7

Q.   23

Find the mean proportional between 7 and 63?

Q.   24

It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4:3:2 ,
but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2.
How much does ‘R’ gain by the error?

Q.   25

By giving Rs. 50 to M, A would have the amount equal to what M had earlier.
If the sum of the amounts with A and M is Rs. 650. What is the ratio of the
amount with A to that with M earlier?

Q.   26

A housewife wishes to purchase three articles A, B and C from a sum of Rs.
200. The unit prices of the articles A, B and C are Rs.20 Rs. 35 and Rs. 25
respectively. If she spends the entire amount by purchasing 5 numbers of
articles of type C, what is the ratio of the number of articles purchased of type
A to that of type, B?

Q.   27

In what ratio should the profit be divided if M, N, O invests capital in ratio
2:3:5 and their timing of their investments are in the ratio 4:5:6.

Q.   28

If a flat costs Rs. 4500per sq. ft., and a commercial space costs Rs. 9500 per sq.
ft., then what is the ratio of their areas if the total cost of both are the same?

Q.   29

In what ratio should the profit of Rs. 8000 be divided if x starts a business
with an investment of Rs. 20000, y invests Rs. 7500 for 4 months and z invests
Rs. 15000 after 3 months from the start of the business?

Q.   30

The third proportional to x2-y2, x - y is?

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