**1. Divide Rs. 17943 between Peter and Wilson in such a way that the share of Peter at the end of 32 years equals that of Wilson at the end of 34 years at compound rate of interest 18% per annum. Find the share of Peter.**

1) Rs. 1043

2) Rs. 7500

3) Rs. 14743

4) Rs. 12443

5) Rs. 12943

**2. The marked price of an article is Rs. 1000. A shopkeeper allows a discount of 10% and gains 20%. What is his gain per cent if no discount is allowed?**

1) 25%

2) 25 ^{1}/_{2} %

3) 30%

4) 33 ^{1}/_{3}%

5) None of these

**3. A man bought a tonga and a horse for Rs. 15000. He sold the tonga and the horse at 10% and 25% profit respectively, thereby making 15% profit on the whole. Find the cost price of the horse.**

1) Rs. 7000

2) Rs. 7500

3) Rs. 5000

4) Rs. 9000

5) None of these

**4. Seven years ago, the average age of a family of four members was 30 years. Two babies having been born, the average age of the family remains the same today. If the ages of babies differ by 2 years, what is the present age of the younger baby?**

1) 7 years

2) 9 years

3) 15 years

4) 12 years

5) None of these

**5. In an examination, the percentage of students qualified with respect to the number of students appeared from School A is 80%. The number of students appeared from School B is 20% more than the number of students appeared from School A, and the number of students qualified from School B is 40% more than the number of students qualified from School A. What percentage of students qualified among those who appeared from School B?**

1) 91 ^{2}/_{3} %

2) 90 ^{4}/_{5} %

3) 92 ^{1}/_{3} %

4) 93 ^{1}/_{3} %

5) None of these

**6. Some amount out of Rs. 10000 was lent out at 8% per annum and the remaining at 3% per annum. If the total simple interest earned on both the amounts in 5 years was Rs. 2000, find the sum lent out at 8% per annum.**

1) Rs. 5000

2) Rs. 3015

3) Rs. 2235

4) Rs. 2000

5) None of these

**7. The bacteria in a culture grow by 5% in the first hour, decrease by 10% in the second hour and again increase by 20% in the third hour. If the original count of bacteria in a sample is 5000, find the count of bacteria at the end of 3 hours.**

1) 5230

2) 5435

3) 5770

4) 5670

5) None of these

**8. The difference between compound interest and simple interest on a certain sum of money at 10% per annum for 2 years is Rs. 700. Find the sum when the interest is compounded annually.**

1) Rs. 40000

2) Rs. 45000

3) Rs. 75000

4) Rs. 70000

5) None of these

**9. Milk and water are mixed in a vessel A in the proportion of 5 : 2, and in vessel B in the proportion of 8 : 5. In what proportion should the quantities be taken out of these two vessels to form a new mixture by mixing the remaining quantities in the vessels, so that the proportion of milk to water becomes 9 : 4?**

1) 3 : 2

2) 7 : 2

3) 7 : 5

4) 2 : 7

5) None of these

**10. A, B and C can do a piece of work in 12, 15 and 20 days respectively. All three began to work together but A and B left 3 and 4 days respectively before completion of the work. In how many days can the remaining work be completed by C?**

1) 4 ^{3}/_{12} days

2)7 ^{3}/_{12} days

3) 7 ^{7}/_{12} days

4) 6 ^{3}/_{12} days

5) None of these