For the following questions answer them individually
Two numbers are 8%, and 28%, respectively, more than a third number. What is the ratio between the two numbers?
If X and Y together can complete a work in 10 days, Y and Z can complete the work in 12 days, and Z and X can complete the work in 15 days, then X alone will complete the work in:
The sum of two numbers is 342 and their HCF is 19. How many pairs of such numbers can be formed?
If P can complete $$\frac{1}{3}$$ of a work in 6 days and Q can complete $$\frac{1}{4}$$ of the same work in 9 days, how much will Q get if both work together and are paid in advance ₹210 in all?
When an article is sold for ₹242.50, there is a loss of 3%. What will be the selling price, if the article is sold at a gain of 13%?
Divide ₹12,100 into 12 parts such that when these are invested for 3 and 4 years, respectively, at the rate of 6% per annum simple interest, the amounts received are equal. What is 75% of the difference between the two parts (in ₹)?
A metallic slab having dimensions 16 cm $$\times$$ 12 cm $$\times$$ 9 cm is melted and recast in the shape of a cube. What is the surface area (in $$cm^{2}$$) of the cube?
A certain sum amounts to ₹17,925 in 3 years and to ₹21,825 in 7 years at the same rate per cent per annum at simple interest. What will be the simple interest (in ₹) on a sum of ₹18,500 for $$4\frac{2}{5}$$ years at double the earlier rate?
A man goes to his office from his house at a speed of 4 km/h and returns at a speed of 2 km/h. If he takes 6 hours in going and coming, what is the distance between his house and office?
A vendor bought candies at ₹12 for 20 and sold them at 6 for ₹12. Find his percentage gain or loss.