For the following questions answer them individually
If $$a = 2 \times 32 \times 5,b = 34 \times 5 \times 7,c = 22 \times 3 \times 7$$ ,then what is the LCM of a,b and c?
A sum of ₹6,400 amounts to ₹8,848 in $$4\frac{1}{2}$$ years at a certain rate per annum at simple interest. What will be the amount (in ₹) of a sum of ₹9,000 in $$2\frac{2}{5}$$ years at the same rate at simple interest?
The marked price of an article is ₹480. After a discount of 18% on the marked price, a shopkeeper earns a profit of ₹63.60. His percentage gain is:
Solutions A and B contain acid and water in the ratio 3 : 5 and 9 : 7, respectively. Solution A and B are mixed in the ratio 2 : 3. What is the ratio of acid and water in the resulting solution?
Two cars are running towards each other at the speeds of 45 km/h and 70 km/h, respectively. What will be the distance between them 12 min before they meet?
The amount of a certain sum at simple interest at 15% p.a. in $$5\frac{1}{2}$$ years is ₹1,755 more than the simple interest on the same sum at the same rate in 10 years. What is the sum (in ₹)?
The speed of B in completing a work is 3 times that of A. If B completes the work in 28 days, then how many days will they take to complete the same work if they work together?
A trader purchased a room cooler for ₹5,400. After allowing a discount of 25%, he gains 25%. What is the price marked on the room cooler?
Simplify the following expression.
$$\left(-5\right)$$ of $$\left(-45\right) \div \left(-15\right) - \left(-3\right) + 5 \times \frac{1}{15}$$
The value of $$\frac{5}{6} \div \frac{5}{6}$$ of $$\frac{5}{6} \times 1\frac{2}{3} + \frac{3}{4} \div \frac{4}{3}$$ of $$1\frac{1}{2} - 1\frac{1}{2} -\frac{5}{6} \div \frac{3}{4}$$ is: