# Comparing Quantities

To compare two quantities, their units must be

(A) Same

(B) Different

(C) Both (A) and (B)

(D) None of these

Two ratios can be compared by converting them into

(A) Unlike fractions

(B) Like fractions

(C) Improper fractions

(D) None of these

If the two fractions are equal, we say that the two given ratios are

(A) Same

(B) Equivalent

(C) Not equivalent

(D) None of these

If two ratios are equivalent (or equal), then the involved four quantities are said to be in

(A) Ratio

(B) Proportion

(C) Both (A) and (B)

(D) None of these

If CP < SP, then there is a

(A) Loss

(B) Proportion

(C) Profit

(D) No profit no loss

If CP > SP, then there is a

(A) Loss

(B) Proportion

(C) Profit

(D) No profit no loss

Find the value of x if 35% + x% = 100%.

(A) 55

(B) 75

(C) 65

(D) 55

What is the value of y if 64% + 20% + y% = 100%?

(A) 15

(B) 17

(C) 16

(D) 25

If 45% = 100% – z%, then z is equal to

(A) 35

(B) 45

(C) 65

(D) 55

It is given that 70% = t% – 30%. Then t is equal to

(A) 105

(B) 90

(C) 40

(D) 100

If 65% of students in a class have a bicycle, what per cent of the student do not have bicycles?

(A) 65

(B) 55

(C) 35

(D) 36

Out of 32 students, 8 are absent. What per cent of the students are present?

(A) 65

(B) 55

(C) 75

(D) 36

There are 25 radios, 16 of them are out of order. What per cent of radios are in order?

(A) 64

(B) 55

(C) 35

(D) 36

A shop has 500 items, out of which 5 are defective. What per cent are not defective?

(A) 6

(B) 5

(C) 3

(D) 1

There are 120 voters, 90 of them voted yes. What per cent not voted yes?

(A) 65

(B) 55

(C) 25

(D) 36

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

(A) 13

(B) 12

(C) 14

(D) 16

1% is equal to

(A) 1/10

(B) 1/1

(C) 1/100

(D) 1/1000

1% is equal to

(A) 1

(B) 0.1

(C) 0.01

(D) 0.001

What is the ratio of ₹5 to 50 paise?

(A) 1 : 10

(B) 10 : 1

(C) 10 : 10

(D) 1 : 100

What is the ratio of 15 kg to 210 gm?

(A) 1:10

(B) 10:1

(C) 10:10

(D) 1:100

What is the ratio of 9 m to 27 cm?

(A) 1:10

(B) 10:1

(C) 10:10

(D) 1:100

What is the ratio of 30 days to 36 hours?

(A) 1:10

(B) 10:1

(C) 10:10

(D) 1:100

The ratio of the heights 1.50 m and 75 cm of two persons can be written as

(A) 1 : 50

(B) 1 : 5

(C) 2 : 1

(D) 1 : 2

Out of 50 children in a class, 20 are boys. Then the percentage of girls is

(A) 60

(B) 30

(C) 50

(D) 66 The interest on ₹5000 at the rate of 15% per annum for one month is

(A) ₹750

(B) ₹75

(C) ₹625

(D) ₹62.50

40% of 250 km is

(A) 75 km

(B) 55 km

(C) 100 km

(D) 25 km

If 25% of a journey is 800 km, the total distance of the journey is

(A) 750 km

(B) 320 km

(C) 3200 km

(D) 32000 km

0.05 is equivalent to

(A) 5%

(B) 50% (C) 0.5% (D) 5.5%

20% of 700 m is

(A) 560 m (B) 70 m (C) 210 m (D) 140 m

Gayatri’s income is ₹1,60,000 per year. She pays 15% of this as house rent and 10% of the remainder on her child’s education. The money left with her is

(A) ₹136000 (B) ₹120000 (C) ₹122400 (D) ₹14000

The ratio of Fatima’s income to her savings is 4 : 1. The percentage of money saved by her is

(A) 20% (B) 25% (C) 40% (D) 80%

0.07 is equal to

(A) 70% (B) 7% (C) 0.7% (D) 0.07%

In a scout camp, 40% of the scouts were from Gujarat State and 20% of these were from Ahmedabad. The percentage of scouts in the camp from Ahmedabad is:

(A) 25 (B) 32.5 (C) 8 (D) 50

What percent of ₹4500 is ₹9000?

(A) 200 (B) ½ (C) 2 (D) 50

5.2 is equal to

(A) 52% (B) 5.2% (C) 520% (D) 0.52%

The ratio 3 : 8 is equal to

(A) 3.75% (B) 37.5% (C) 0.375% (D) 267%

225% is equal to

(A) 9 : 4 (B) 4 : 9 (C) 3 : 2 (D) 2 : 3

A bicycle is purchased for ₹1800 and is sold at a profit of 12%. Its selling price is

(A) ₹1584 (B) ₹2016 (C) ₹1788 (D) ₹1812

A cricket bat was purchased for ₹800 and was sold for ₹1600. Then profit earned is

(A) 100% (B) 64% (C) 50% (D) 60%

A farmer bought a buffalo for ₹44000 and a cow for ₹18000. He sold the buffalo at a loss of 5% but made a profit of 10% on the cow. The net result of the transaction is

(A) loss of ₹200 (B) profit of ₹400

(C) loss of ₹400 (D) profit of ₹200

If Mohan’s income is 25% more than Raman’s income, then Raman’s income is less than Mohan’s income by

(A) 25% (B) 80% (C) 20% (D) 75%

The interest on ₹30000 for 3 years at the rate of 15% per annum is

(A) ₹4500 (B) ₹9000 (C) ₹18000 (D) ₹13500

Amount received on ₹3000 for 2 years at the rate of 11% per annum is

(A) ₹2340 (B) ₹3660  (C) ₹4320 (D) ₹3330

Interest on ₹12000 for 1 month at the rate of 10 % per annum is

(A) ₹1200 (B) ₹600    (C) ₹100 (D) ₹12100

Rajni and Mohini deposited ₹3000 and ₹4000 in a company at the rate of 10% per annum for 3 years and 2½ years respectively. The difference of the amounts received by them will be

(A) ₹100 (B) ₹1000    (C) ₹900 (D) ₹1100

If 90% of x is 315 km, then the value of x is

(A) 325 km (B) 350 km         (C) 405 km (D) 340 km

• (A) 60%
• (B) 40%
• (C) 50%
• (D) 80%

The percent that represents the unshaded region in the figure.

• (A)  75%
• (B) 50%
• (C) 40%
• (D) 60%

The percent that represents the shaded region in the figure.

• (A) 75%
• (B) 50%
• (C) 40%
• (D) 60%

The percent that represents the unshaded region in the figure is

• (A) 36%
• (B) 64%
• (C) 27%
• (D) 48%

The percent that represents the shaded region in the figure is

• (A) 36%
• (B) 64%
• (C) 27%
• (D) 48%