Telangana SCERT Solution Class VIII (8) Math Chapter 5 Comparing quantities using Proportion Exercise 5.1
(1) Find the ratio of the following
(i) Smita works in office for 6 hours and Kajal works for 8 hours in her office. Find the ratio of their working hours.
(ii) One pot contains 8 litre of milk while other contains 750 milliliter.
(iii) Speed of a cycle is 15km/h and speed of the scooter is 30km/h.
(2) If the compound ratio of 5:8 and 3:7 is 45:x. Find the value of x.
(3) If the compound ratio of 7:5 and 8:x is 84:60. Find x.
(4) The compound ratio of 3:4 and the inverse ratio of 4:5 is 45:x. Find x.
(5) In a primary school there shall be 3 teachers to 60 students. If there are 400 students enrolled in the school, how many teachers should be there in the school in the same ratio?
(6) In the adjacent ΔABC, write all possible ratios by taking measures of sides pair wise.
(Hint: Ratio of AB : BC = 8 : 6)
(7) If 9 out of 24 students scored below 75% marks in a test. Find the ratio of student scored below 75% marks to the student scored 75% and above marks
(8) Find the ratio of number of vowels in the word’ MISSISSIPPI’ to the number of consonants in the simplest form.
(9) Rajendra and Rehana own a business. Rehana receives 25% of the profit in each month. If Rehana received ₹2080 in particular month, what is the total profit in that month?
(10) In triangle ABC, AB = 2.2 cm, BC = 1.5 cm and AC = 2.3 cm. In triangle XYZ, XY = 4.4 cm, YZ = 3 cm and XZ = 4.6 cm. Find the ratio AB : XY, BC : YZ, AC : XZ. Are the lengths of corresponding sides of ΔABC and ΔXYZ in proportion?
[Hint: Any two triangles are said to be in proportion, if their corresponding sides are in the same ratio]
(11) Madhuri went to a super market. The price changes are as follows. The price of rice reduced by 5% jam and fruits reduced by 8% and oil and dal increased by 10%. Help Madhuri to find the changed prices in the given table.
Item |
Original price/kg | Changed Price |
Rice |
₹30 | |
Jam |
₹00 |
|
Apples |
₹280 | |
Oil |
₹120 |
|
Dal |
₹80 |
(12) There were 2075 members enrolled in the club during last year. This year enrolment is decreased by 4%.
(a) Find the decrease in enrolment.
(b) How many members are enrolled during this year?
(13) A farmer obtained a yielding of 1720 bags of cotton last year. This year she expects her crop to be 20% more. How many bags of cotton does she expect this year?
(14) Points P and Q are both on the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2 : 3, and Q divides AB in the ratio 3 : 4. If PQ = 2, then find the length of the line segment AB.
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