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Ratio, Proportion & Mixtures — practice questions, page 6

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QuestionTwo numbers are in the ratio 3 : 5. When each is increased by 10, the ratio becomes 5 : 7. Find…QuestionTwo numbers are in the ratio 3 : 4 and their LCM is 84. Find the smaller number.QuestionA is 6 years older than B. Four years from now, the ratio of their ages will be 5 : 4. Find B's…QuestionIn 77 litres of a milk-water mixture the ratio of milk to water is 5 : 2. How much water (in…QuestionA container has 80 litres of pure orange juice. 8 litres are taken out and replaced with water,…QuestionKavya's and Ishan's marble counts are in the ratio 3 : 5. If each of them loses 4 marbles, the…QuestionThe ratio of the present ages of a mother and her daughter is 4:1. After 10 years, the ratio will…QuestionHow many kg of rice at ₹32 per kg must be mixed with 15 kg of rice at ₹42 per kg so that the…QuestionA 66-litre can holds milk and water in the ratio 8 : 3. How many litres of water must be added so…QuestionTwo numbers are in the ratio 5 : 7 and their sum is 96. Find the difference between the two numbers.QuestionAdding 5 to each of two numbers that are in the ratio 2 : 7 changes their ratio to 1 : 3. What is…QuestionA jug holds 28 litres of sherbet in which syrup and water are in the ratio 5 : 2. How many litres…QuestionA container holds 50 litres of pure milk. Water is added until the ratio of milk to water becomes…QuestionThe ages of two sisters are in the ratio 3 : 5. Six years from now the ratio will be 2 : 3. What…QuestionTwo numbers are in the ratio 3 : 7. If 4 is subtracted from each, the ratio becomes 1 : 3. What is…QuestionTwo kinds of rice costing ₹90 and ₹120 per kg are mixed in the ratio 2 : 1. What is the cost price…QuestionA can holds 24 litres of a juice-and-water drink in the ratio 5 : 3. How many litres of juice must…QuestionReducing each of two numbers by 4 changes their ratio from 2 : 5 to 1 : 4. What is the larger of…QuestionThe ratio of Asha's savings to Bela's is 3 : 7, and Bela's savings to Charu's is 5 : 9. What is…QuestionNeha's and her brother's present ages are in the ratio 7 : 9. Six years ago the ratio was 5 : 7.…QuestionA 60-litre can holds milk and water in the ratio 7 : 3. How many litres of water should be added…QuestionA dairy can holds 90 litres of pure milk. Nine litres are taken out and replaced with water, and…QuestionA father's and son's ages are in the ratio 9 : 2, and the father is 35 years older. How old is the…Question₹1200 is divided between two people in the ratio 2 : 3. What is the smaller share in rupees?QuestionTwo numbers are in the ratio 5 : 7. When 6 is added to each, the ratio becomes 4 : 5. Find the…

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