A, B and C entered into a partnership by investing in the ratio of 6:3:4. At the end of the year, the total profit is in the ratio of 12:3:8. Find the ratio of period of time they invested in the business.

Ratio of investment = 6:3:4 The ratio of profit = 12:3:8 Ratio of period = ratio of profit/ratio of investment => 12/6 : 3/3 : 8/4 => 2 : 1 : 2

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- What is the fourth proportional to 189, 273 and 153?
- A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of water to milk in the final solution.
- Total population of city P and Q is 3740 and 4320 respectively. If the ratio of number of males to females in city is P and Q is 6:5 and 5:4 respectively, then find the difference between number of males in city P and number of females in city Q.
- Ratio of males to females in village ‘A’ and village ‘B’ is 2:5 and 3:4, respectively and number of females in village ‘B’ is 25% more than that in village ‘A’. Find difference between number of males in villages ‘A’ and ‘B’ if number of males in village ‘B’ is 900.
- The ratio of two numbers is 4:7. If each number is decreased by 4, the ratio becomes 5:9. Find the smaller numbers.
- The total number of students in a school is 36580. If the ratio of boys to the girls in the school is 55:63 respectively, then find the total number of girls in the school.
- Rs. 23121 are divided between A and B in the ratio 2:7. What is the difference between thrice the share of A and twice the share of B?
- A boy is supposed to distribute Rs.2400 among his three friends P, Q and R in the ratio of 4:3:5 respectively, but mistakenly he distributed in the ratio of 5:3:2 respectively. Find the difference between amount received by P mistakenly and the amount that P should have actually received.

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