Subject: Mathematics
Book: Maths Mastery
Proportions equate two ratios, like a/b = c/d. Cross-multiplication states ad = bc. For example, if 2/5 = x/15, then 2 × 15 = 5 × x, meaning 30 = 5x, so x = 6. Proportions answer real-world questions: “If 2 liters costs ₹100, what does 5 liters cost?” or “If 3 out of 10 students prefer a subject, how many out of 50 might prefer it?” The technique is vital for scaling recipes, resizing images, or solving geometry similarity. Consistent practice ensures you can set up and solve ratio-based statements in a single, efficient step.
A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
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View QuestionThe sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?
View QuestionIf 5x - 2 = 13, what is the value of x?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionIf a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View QuestionWhat is the cube of 4?
View QuestionIf x + y = 10 and xy = 21, what is the value of x³ + y³?
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