For the following questions answer them individually
Ratio of Copper and Gold in first and second alloy are 3 : 4 and 2 : 5 respectively. 14 kg of the first alloy is mixed with 21 kg of the second alloy. Find the ratio of Copper and Gold, respectively, in the new mixture.
A solid sphere is cut into two equal halves. What is the ratio of the total surface area of each hemisphere to that of the solid sphere?
Express $$0.45\overline{235}$$ as a fraction.
The average of 7 natural numbers is 70. Among them six numbers are 32, 69, 72, 65, 79, 48. What is the seventh number?
Find the mean proportional between 256 and 484.
The marked price of an article is 25% above its cost price. If it is sold for ₹450 with a profit of 6.4%, then the discount percent is closest to:
A sofa-set is offered for sale at three successive discounts of 10%, 5%, and 2%. Find the net selling price of the sofa-set, if its marked price is ₹18,000.
A and B can complete a piece of work in 18 days and 12 days, respectively. They work on alternate days till the work gets completed. How long (in days) would it take A and B to complete the work, starting with A on the first day?
If a shopkeeper offers a 10% discount, he makes a 10% profit. Under the same conditions, if he offers a 25% discount, then how much percentage of profit or loss will he get?