Question : Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capital for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?

Option 1: 49 : 64 : 20

Option 2: 20 : 49 : 64

Option 3: 20 : 64 : 49

Option 4: 64 : 49 : 20

Question : A, B, and C started a business with their capitals in the ratio 1 : 4 : 4. At the end of every 3 months, A doubles his capital, B halves his capital and C leaves his capital unchanged. At the end of the year, if B's share in the profit was INR 4,50,000, then the total profit (in INR lakhs) was ______.

Option 1: 32.4

Option 2: 24.2

Option 3: 34.8

Option 4: 23.1

Question : A, B, and C enter into a partnership by investing their capitals in the ratio of $\frac{2}{5}: \frac{3}{4}: \frac{5}{8}$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of INR 2,82,100 at the end of the year?

Option 1: INR 83,200

Option 2: INR 97,500

Option 3: INR 1,01,400

Option 4: INR 1,00,750

Question : The heights of two cones are in the ratio 7 : 5 and their diameters are in the ratio 10 : 21.
What is the ratio of their volumes? (Where $\pi=\frac{22}{7}$)

Option 1: 26 : 47

Option 2: 14 : 19

Option 3: 20 : 63

Option 4: 17 : 21

Question : A, B and C started a business with their capitals in the ratio 4 : 2 : 9. At the end of every quarter, A halves his capital, whereas B doubles his capital and C leaves his capital unchanged. If at the end of a year, A's profit was Rs. 24,000, then what is the total profit?

Option 1: Rs. 2,30,400

Option 2: Rs. 2,25,600

Option 3: Rs. 2,16,000

Option 4: Rs. 2,35,200

Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

Option 1: 9 : 4

Option 2: 2 : 1

Option 3: 9 : 7

Option 4: 8 : 5