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There are 20 girls and 15 boys in a class. (a) What is the ratio of number of girls to the number of boys? (b) What is the ratio of number of girls to the total number of students in the class?
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Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of (a) Number of students liking football to number of students liking tennis. (b) Number of students liking cricket to total number of students. TIPS Firstly, find the number of students like tennis by subtracting number of students like football and cricket from total number of students and then find the required ratio.
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See the figure and find the ratio of (a) Number of triangles to the number of circles inside the rectangle. (b) Number of squares to all the figures inside the rectangle. (c) Number of circles to all the figures inside the rectangle.
TIPS Firstly, find the number of triangles, squares and circles from given figure, then find the required ratio.
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Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar. TIPS Firstly, find the speed of Hamid and Akhtar separately by using the formula, Speed \[\text{=}\frac{\text{Distance}}{\text{Time}}\text{,}\]then find required ratio by dividing speed of Hamid by speed of Akhtar.
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Fill in the following blanks. \[\frac{15}{18}=\frac{}{6}=\frac{10}{}=\frac{}{30}\] [Are these equivalent ratios?] TIPS We can get equivalent ratios by multiplying or dividing the numerator and denominator by the same number,
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Find the ratio of the following. (a) 81 to 108 (b) 98 to 63 (c) 33 km to 121 km (d) 30 min to 45 min
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Find the ratio of the following. (a) 30 min to 1.5 h (b) 40 cm to 1.5 m (c) 55 paise to ` 1 (d) 500 mL to 2 L TIPS Firstly, convert both the quantities in same unit and then find required ratio.
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In a year, Seema earns ` 150000 and saves ` 50000. Find the ratio of (a) Money that Seema earns to the money she saves. (b) Money that she saves to the money she spends. TIPS For part (a), divide earn money by save money to get required ratio and for part (b), firstly find spend money, which is obtained on subtracting save money from earn money and then divide save money by spend money to get required ratio.
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There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.
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In a college, out of 4320 students, 2300 are girls. Find the ratio of (a) number of girls to the total number of students. (b) number of boys to the number of girls. (c) number of boys to the total number of students. TIPS Firstly, find the number of boys, which is obtained on subtracting the number of girls from total number of students and then find the required ratios
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Out of 1800 students in a school, 750 opted basketball 800 opted cricket and remaining opted table tennis. If a student can opted only one game, find the ratio of (a) number of students, who opted basketball to the number of students who opted table tennis. (b) number of students, who opted cricket to the number of students opting basketball. (c) number of students, who opted basketball to the total number of students.
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Cost of a dozen pens is ` 180 and cost of 8 ball pens is ` 56. Find the ratio of the cost of a pen to the cost of a ball pen.
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Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.
Breadth of the hall (in m) | 10\[\]40 |
Length of the hall (in m) | 25 50 \[\] |
TIPS Firstly, check that ratio of given breadth and length of hall is equal to given ratio or not. Then, for missing term multiply by same number in given value of length and breadth both.
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Divide 20 pens between Sheela and Sangeeta in the ratio of 3 : 2.
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Mother wants to divide ` 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 yr and age of Bhoomika is 12 yr find, how much Shreya and Bhoomika will get. TIPS Mother wants to divide the money between Shreya and Bhoomika, according to their age. So, firstly we find the ratio of their ages and then divide ` 36 between them in that ratio.
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Present age of father is 42 yr and that of his son is 14 yr. Find the ratio of (a) present age of father to the present age of son. (b) age of the father to the age of son, when son was 12 yr old. (c) age of father after 10 yr to the age of son after 10 yr. (d) age of father to the age of son when father was 30 yr old.
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Determine, if the following are in proportion. (a) 15, 45, 40, 120 (b) 33, 121, 9, 96 (c) 24, 28, 36, 48 (d) 32, 48, 70, 210 (e) 4, 6, 8, 12 (f) 33, 44, 75, 100 TIPS Firstly, find the ratio between two terms of each pair. If the ratio of both pairs is same, then they are in proportion, otherwise not.
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Write true (T) or false (F) against each of the following statements: (a) 16 : 24 : : 20 : 30 (b) 21: 6 : : 35 : 10 (c) 12 : 18 : : 28 : 12 (d) 8 : 9 : : 24 : 27 (e) 5.2 : 3.9 : : 3 : 4 (f) 0.9 : 0.36 : : 10 : 4 TIPS Firstly, write the given ratios in lowest form. If lowest form of both ratios are same, then they will be in proportion and given statement will be true, otherwise given statement will be false,
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Are the following statements true? (a) 40 persons : 200 persons = Rs. 15 : Rs. 75 (b) 7.5 L : 15 L = 5 kg : 10 kg (c) 99 kg : 45 kg = Rs. 44 : Rs. 20 (d) 32 m : 64 m = 6 s : 12 s (e) 45 km : 60 km = 12h : 15 h
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Determine, if the following ratios form a proportion. Also, write the middle term and extreme terms, where the ratios form a proportion. (a) 25 cm : 1 m and Rs. 40 : Rs. 160 (b) 39 L : 65 L and 6 bottles : 10 bottles (c) 2 kg : 80 kg and 25 g : 625 g (d) 200 mL : 2.5 L and Rs. 4 : Rs. 50 TIPS Firstly, convert the terms of a ratio in same unit, then write the given ratios in their lowest form. If lowest form of both ratios are same, then they will be in proportion and their first and fourth terms are known as extreme terms, second and third terms are known as middle terms.
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If the cost of 7 m of cloth is Rs. 294, find the cost of 5 m of cloth.
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Ekta earns Rs. 1500 in 10 days. How much will she earn in 30 days?
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If it has rained 276 mm in the last 3 days, how many centimetre of rain will fall in one full week (7days)? Assume that the rain continues to fall at the same rate.
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Cost of 5 kg of wheat is Rs. 30.50. (a) What will be the cost of 8 kg of wheat? (b) What quantity of wheat can be purchased in Rs. 61?
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The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next 10 days?
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Shaina pays Rs. 7500 as rent for 3 months. How much does she has to pay for a whole year, if the rent per month remains same?
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Cost of 4 dozens bananas is Rs. 60. How many bananas can be purchased for Rs. 12.50?
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The weight of 72 books is 9 kg. What is the weight of 40 such books?
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A truck requires 108 L of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?
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Raju purchases 10 pens for Rs. 150 and Manish buys 7 pens for Rs. 84. Can you say who got the pens cheaper? TIPS Firstly, find the cost of 1 pen for both Raju and Manish by unitary method, then compare who got the pens cheaper.
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Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over? TIPS Firstly, find the runs made by them in one over separately and then compare who made more runs.
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