Question

Topic: Percentage & its Applications
I. Express each of the following ratios in the simplest form.

(a) 5.6 m to 28 cm (b) Dozen to a score (c) Score to a gross
(d) 6 hours to a day (e) 20 litres to 0.75 litres (f) 1728 : 2400
II. Which of the following statements are true?

(a) 25 : 35 = 45 : 55 (b) 105 : 30 = 49 : 14
III. Solve: 1. Find x if 8% of x is 96. 2. Find the value of x if

3. If Rachel needs one cup of flour and
th cup of water to make 5 muffins. How much flour and water is needed to make 10 muffins?

4. Two numbers are in the ratio 7:10. If the larger number is 140, what is the smaller number?

5. Seema baked a cake, for every 160g of butter she used 200g of flour and 120g of sugar. What is the ratio of a) Flour to butter b) sugar to butter c) flour to sugar If she used 192 g of ingredients how much of each item did she use?

6. A train travels 90km in 1 ½ hours. How long will it travel in 3hours 3o min at the same speed? 7. A box of apples cost Rs, 354. How many boxes of apples can be bought with Rs.1770 ?
2


IV. Solve the given: 1) Find 3
% of 640.

2) The price of a biscuit packet increased from Rs. 60 to Rs. 75. Find the percentage increase.

3) Out of 72 children in a class, 18 students got marks above 80, in Mathematics. What percent of the children in the class got marks above 80 in Math?

4) If 60% of sum of money is Rs. 480, what is the total sum of money?

5) In a class of 64 students, 25% like reading comics and the remaining like reading novels. Find the number of students who like reading: a) Comics b) Novels

6) There are 36 fruits in a basket. Nine are mangoes and the remaining are apples. What percent of the fruits are: a) Mangoes b) Apples

7) James bought a dress material for Rs. 3200. He sold this and got a profit of 7 %. Find the selling price of the dress material.

8) Mr. Sen sells a mobile for RS. 8400, making a profit of 20%. What was the CP of the mobile?

9) Rs. 10,000 deposited in a bank at the rate of 18% p.a. amounted to Rs. 22,600 in a few years. Find the time taken.

10) A sum of money amounted to Rs. 31,200 at 4% p.a. in 5 years. Find the original sum.

11) Interest on Rs. 4000 for Rs. 200 is Rs. 1120. Find the rate of interest

Answer 1

10)
31200=p(1+4×5/100)
p=31200×5/6=5200×5=26000
p=26000

9)
22600=10000(1+18t/100)
113/50=1+18t/100
63/50=18t/100
t=7years

8)
8400×100/120=cp
cp=7000

7)
3200×107/100=3424
sp=3424

6) total 36 fruits
mangoes=9
apples=27
mangoes=9/36×100=25%
apples=27/36×100=75%

5)
total students=64
comics =25%
novels=75%
comics=25/100×64=16
novels=75/100×64=48

4)
a:b=7:10
10=140
1=14
so 7=7×14=98

3)
1floor+1water=5muffins
2floor+2water=10muffins

please mark it as a brainliest answer