Question : Raman, Manan, and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}$th of the total and Manan invests $\frac{3}{8}$th of the total. What is the ratio of profits of Raman, Manan and Kamal, respectively?

Option 1: 16 : 15 : 9

Option 2: 16 : 15 : 31

Option 3: 2 : 3 : 5

Option 4: 15 : 16 : 9

Question : The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q invests for 2 years. What is the ratio of profit of P and Q?

Option 1: 3 : 5

Option 2: 4 : 7

Option 3: 2 : 5

Option 4: 1 : 2

Question : A, B and C started a business. A invested $33 \frac{1}{3}$% of the total capital, B invest $33 \frac{1}{3}$% of the remaining capital and C, the remaining. If the total profit, at the end of a year, was INR 20,250, then the profit of C exceeds the profit of B by:

Option 1: INR 5,200

Option 2: INR 4,500

Option 3: INR 6,750

Option 4: INR 2,700

Question : The value of $\frac{\left(1 \frac{1}{9} × 1 \frac{1}{20} ÷ \frac{21}{38}-\frac{1}{3}\right) ÷\left(2 \frac{4}{9} ÷ 1 \frac{7}{15} \text { of } \frac{3}{5}\right)}{\frac{1}{5} \text { of } \frac{1}{5} ÷ \frac{1}{125}-\frac{1}{25} ÷ \frac{1}{5} \text { of } \frac{1}{5}}$ lies between ____.

Option 1: 0.1 and 0.15

Option 2: 0.2 and 0.25

Option 3: 0.15 and 0.2

Option 4: 0.25 and 0.3

Question : The value of $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$ lies between:

Option 1: 10.2 and 10.8

Option 2: 4.2 and 4.4

Option 3: 8.2 and 8.8

Option 4: 0.4 and 0.9