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## AP Board 7th Class Maths Bits 7th Lesson Ratio and Proportion

Multiple Choice Questions:

Question 1.
Comparing two quantities of the same kind by division is called_______
(A) Division
(B) Porportion
(C) Ratio
(D) None
Answer:
(C) Ratio

Question 2.
The equality of ratios is called _______
(A) Ratio
(B) Proportion
(C) Compound ratio
(D) None
Answer:
(B) Proportion

Question 3.
If the ratios are equal, then the product of Extremes = _______
(A) Product of means
(B) Product of ratios
(C) Product of all terms
(D) None
Answer:
(A) Product of means

Question 4.
If a, b, c, d are in proportion extremes are _______
(A) b, c
(B) a, d
(C) a, c
(D) None
Answer:
(B) a, d

Question 5.
Compound ratio of a : b and c : d is _______
(A) a × c : b × d
(B) a × d : b × c
(C) a × b : c × d
(D) None
Answer:
(A) a × c : b × d

Question 6.
In a : b, a is called _______
(A) consequent
(B) antecedent
(C) A & B
(D) none
Answer:
(B) antecedent

Question 7.
If $$\frac{x}{y}$$ = k, then x and v are in _______
(A) inverse proportion
(B) direct proportion
(C) indirect proportion
(D) compound proportion
Answer:
(B) direct proportion

Question 8.
If in two quantities, when one quantity increases, then the other quantity decreases in the same proportion, then the two quantities are said to be in _______
(A) inverse proportion
(B) direct proportion
(C) indirect proportion
(D) compound proportion
Answer:
(A) inverse proportion

Question 9.
Angle made by minutes hand in a minute is _______
(A) 6°
(B) 60°
(C) 160°
(D) 30°
Answer:
(A) 6°

Question 10.
Angle made by hours hand in one minute is _______
(A) 6°
(B) 1/2°
(C) 1°
(D) 1/4°
Answer:
(B) 1/2°

Question 11.
1% = _________
(A) $$\frac{1}{100}$$
(B) 0.01
(C) 1 : 100
(D) all the above
Answer:
(D) all the above

Question 12.
If selling price Is higher than cost price, then we get _______
(A) Loss
(B) Profit
(C) No loss, no profit
(D) None
Answer:
(B) Profit

Question 13.
Profit percentage = _________
(A) $$\frac{C P}{\text { Profit }}$$ × 100
(B) $$\frac{\text { Profit }}{\text { C.P } \times 100}$$
(C) $$\frac{\text { Profit }}{\text { C.P }}$$ × 100
(D) $$\frac{\text { C.P } \times \text { Profit }}{100}$$
Answer:
(C) $$\frac{\text { Profit }}{\text { C.P }}$$ × 100

Question 14.
Cost price – SellIng price (C.P> S.P) = _______
(A) Loss
(B) Profit
(C) Loss × 100
(D) Profit × 100
Answer:
(A) Loss

Question 15.
Discount = ________
(A) Marked price – Selling price
(B) Selling price – Marked price
(C) Cost price – Selling price
(D) Selling price – Cost price
Answer:
(A) Marked price – Selling price

Question 16.
Marked price= ________
(A) Selling price – Discount
(B) Cost price + Discount
(C) Selling price + Discount
(D) Cost price – Discount
Answer:
(C) Selling price + Discount

Question 17.
Interest I = __________
(A) $$\frac{T \times R}{100}$$
(B) $$\frac{\mathrm{PTR}}{100}$$
(C) $$\frac{P \times R}{100}$$
(D) $$\frac{P R}{100 \times T}$$
Answer:
(B) $$\frac{\mathrm{PTR}}{100}$$

Question 18.
Principle P = ________
(A) $$\frac{\mathrm{TR}}{100}$$
(B) $$\frac{I \times 100}{P R}$$
(C) $$\frac{I \times 100}{T R}$$
(D) $$\frac{\mathrm{I} \times 100}{\mathrm{P} \times \mathrm{T}}$$
Answer:
(C) $$\frac{I \times 100}{T R}$$

Question 19.
At what rate per annum will the principle doubles In 10 years?
(A) 15%
(B) 20%
(C) 5%
(D) 10%
Answer:
(D) 10%

Question 20.
In a class of 65 students, the ratio of girls and boys is 3 :2, then the number of girls are ________
(A) 26
(B) 39
(C) 21
(D) 44
Answer:
(A) 26

Question 21.
Divide 63 in the rat to 4:5 =______
(A) 28, 35
(B) 36, 37
(C) 36, 27
(D) 35, 28
Answer:
(A) 28, 35

Question 22.
In a class of 40 students number of girls are 28, then the ratio of boys and girls is ________
(A) 4: 7
(B) 7: 3
(C) 3: 7
(D) 7: 4
Answer:
(C) 3:7

Question 23.
If 4 : 3 :: x : 9 then x = ______
(A) 16
(B) 15
(C) 12
(D) 6
Answer:
(C) 12

Question 24.
70% of a number of 56, then the number is __________
(A) 85
(B) 90
(C) 70
(D) 80
Answer:
(D) 80

Question 25.
If P = ₹ 3000, R = 9%, T = 2$$\frac{1}{2}$$y, then
(A) ₹ 575
(B) ₹ 685
(C) ₹ 655
(D) ₹ 675
Answer:
(D) ₹ 675

Question 26.
A raod map represents 1 cm =18 km, then 72 km = __cm.
(A) 14 cm
(B) 4 cm
(C) 8 cm
(D) 2 cm
Answer:
(B) 4 cm

Question 27.
Out of 9000 voters of Unnava village 75% voted. Number of voters didn’t vote = ______
(A) 6750
(B) 2500
(C) 2250
(D) 6250
Answer:
(C) 2250

Question 28.
A dealer allows a discount of 10% and still gains by 10%. What should be the marked price if the cost of price is ₹ 900 ?
(A) ₹ 1100
(B) ₹ 1000
(C) ₹ 1200
(D) ₹ 1800
Answer:
(A) ₹ 1100

Question 29.
The cost of one dozen bananas is Rs.20, then the cost of 9 bananas is _______
(A) ₹ 15
(B) ₹ 9
(C) ₹ 12
(D) ₹ 18
Answer:
(A) ₹ 15

Question 30.
If the cost of one egg is Rs. 4/-. Find the cost of 6 eggs ______
(A) ₹ 24
(B) ₹ 26
(C) ₹ 30
(D) ₹ 10
Answer:
(A) ₹ 24

Fill m the blanks :

Question 1.
The ratio of two numbers a and b is denoted by _______
Answer:
a : b

Question 2.
a : b can be read as _______
Answer:
a is to b

Question 3.
To find the ratio, the terms must be expressed in their ______
Answer:
same units

Question 4.
If a : b = c : d, then a × d = ______
Answer:
b × c

Question 5.
If the ratio of the antecedents to the product of consequents, then the ratio is called _______
Answer:
compound ratio

Question 6.
In the ratio a : b, b is called _______
Answer:
consequent

Question 7.
Product of antecedents = ______
Answer:
product of consequent

Question 8.
If x and y are in direct proportion and x increases, then y is ______
Answer:
increases

Question 9.
If x = ky, then x and y are in ______
Answer:
inversely Proportion

Question 10.
Change in one quantity depends upon the change in two or more quantities in proportion is called _______
Answer:
Compound Proportion

Question 11.
If the cost price is higher than the selling price, then we get _______
Answer:
Loss

Question 12.
Loss percentage = ______
Answer:
$$\frac{\text { Loss }}{\text { C.P }}$$ × 100

Question 13.
Selling mice – Cost price (S.P > C.P) = _______
Answer:
Profit

Question 14.
Marked price Selling price = ________
Answer:
Discount

Question 15.
Discount percentage = _______
Answer:
$$\frac{\text { Discount }}{\text { Marked price }}$$ × 100

Question 16.
Time T = _______.
Answer:
$$\frac{\mathrm{I} \times 100}{\mathrm{P} \times \mathrm{R}}$$

Question 17.
Rate of interest R = ________
Answer:
$$\frac{\mathrm{I} \times 100}{\mathrm{PT}}$$

Question 18.
If principle becomes 4 times in 15 years, then the rate percent per annum is _______
Answer:
20%

Question 19.
If 3, 8, x and 16 are in proportion the value of x is _______
Answer:
6

Question 20.
The ratio of an angle its complementary is 2 : 7, then the smaller angle is _______
Answer:
20°

Question 21.
If the cost of 5 pens is ₹ 70, then the cost of 7 pens is _______
Answer:
₹ 98

Question 22.
If T = 4 years, P = ₹ 6500, M = ₹ 8840, then the rate of interest R = _______%.
Answer:
9%

Question 23.
At what rate a sum triples itself in 8 years 4 months ?
Answer:
24%

Question 24.
Discount is always calculated on _______
Answer:
Marked price

Question 25.
Amount = _______
Answer:
Principle + Interest

Question 26.
28% of a number is 168. Then 82% of it is _______
Answer:
492

Question 27.
Aditya sold a land for ₹ 3,00,000 and gained 0%, then how much did he purchage it?
Answer:
₹ 2,50,000

Question 28.
20 kgs of Rice is needed for a family of 4 members. The number of kgs of Rice is required for 8 members of family _______
Answer:
40 kgs

Question 29.
If a sum of ₹ 16000 is divided in the ratio of 3 : 5, then the difference between the amount is ______
Answer:
₹ 4000

Question 30.
The cost of 15 mangoes is ₹ 180, then the cost of 25 mangoes is _______
Answer:
₹ 300

Match the following :

Question 1.

 Group A Group B 1. The ratio a and b is (A) a × c : b × d 2. If a : b = c : d, then (B) x = ky 3. The compound ratio of a : b and c : d is (C) x × y = k 4. If x and y are in direct proportion, then (D) a × d = b × c 5. If x and y are in inverse proportion, then (E) a : b

Answer:

 Group A Group B 1. The ratio a and b is (E) a : b 2. If a : b = c : d, then (D) a × d = b × c 3. The compound ratio of a : b and c : d is (A) a × c : b × d 4. If x and y are in direct proportion, then (C) x × y = k 5. If x and y are in inverse proportion, then (B) x = ky

Question 2.

 Group A Group B 1. If 18 : 12, 15 : 10 are in proportion, then (A) 180 2. The compound ratio of 1 : 5 and 3 : 4 is (B) 120 3. If 5 6 and 15 : x are in proportion, then x = (C) 30 4. If 4 : 3 and x : 90 are in inverse proportion, then x = (D) 3 : 20 5. If 10 : x = 1 : 3, then x = (E) 18 × 10 = 12 × 15

Answer:

 Group A Group B 1. If 18 : 12, 15 : 10 are in proportion, then (E) 18 × 10 = 12 × 15 2. The compound ratio of 1 : 5 and 3 : 4 is (D) 3 : 20 3. If 5 6 and 15 : x are in proportion, then x = (A) 180 4. If 4 : 3 and x : 90 are in inverse proportion, then x = (B) 120 5. If 10 : x = 1 : 3, then x = (C) 30

Question 3.

 Group A Group B 1.Profit = ______ – _____ (A) Cost price 2.Loss = _____ – ______ (B) $$\frac{\text { Loss }}{\text { C.P }}$$ × 100 3.Profit% = _______ (C) Cost price – Selling price 4.Loss% = _______ (D) Selling price 5. Selling price = ________ + Profit (E) $$\frac{\text { Profit }}{\text { C.P. }}$$ × 100 6. Cost price _________ + Loss (F) Selling price – Cost price

Answer:

 Group A Group B 1.Profit = ______ – _____ (F) Selling price – Cost price 2.Loss = _____ – ______ (C) Cost price – Selling price 3.Profit% = _______ (E) $$\frac{\text { Profit }}{\text { C.P. }}$$ × 100 4.Loss% = _______ (B) $$\frac{\text { Loss }}{\text { C.P }}$$ × 100 5. Selling price = ________ + Profit (A) Cost price 6. Cost price _________ + Loss (D) Selling price