Question 1
If \(A : B = 7 : 5,\) \(B : C = 2 : 3,\) and \(C : D = 4 : 5,\) find the ratio A : D.
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If \(A : B = 7 : 5,\) \(B : C = 2 : 3,\) and \(C : D = 4 : 5,\) find the ratio A : D.
Simplify: \(\left(\frac{7}{5} \div \frac{14}{15}\right) \times \left(\frac{10}{7} \div \frac{5}{3}\right)\)
Simplify: \(\left(1.5 + \frac{3}{8}\right)^3\) \({}- \left(\frac{9}{5} \times 1.25\right)\)
Simplify: \(\left(\left(1.5 + \frac{3}{4}\right) \div \left(2.25 - \frac{1}{2}\right)\right)\) \({}+ 0.6\)
A container holds a mixture of three liquids A, B, and C in ratio \(2 : 3 : 5.\) If 6 liters of liquid A, 12 liters of liquid B, and a certain amount of liquid C are added to the container, the new ratio of liquids A, B, and C becomes \(3 : 5 : 8.\) Find the quantity (in liters) of liquid C added.
Gautam started a business with a sum of ₹ 60,000. Jatin joined him 8 months later with a sum of ₹ 35,000. At what respective ratio will the two share the profit after two years?
The average weight of 12 people is 65 kg. If one person leaves and the new average becomes 64.5 kg, what is the weight of the person who left?
Table – Monthly Sales (in ₹000)
| Salesperson | Jan | Feb | Mar | Apr |
|---|---|---|---|---|
| P | 50 | 60 | 70 | 55 |
| Q | 65 | 68 | 62 | 64 |
What are the average monthly sales of Q?
In how many years will ₹50,000 become ₹66,550 at 10% compound interest per annum?
The ratio of the profit to the cost price of a product is 2: 7. What is the ratio of its selling price to its profit?