**Q1. The compound interest on a certain sum of money at a certain rate per annum for two years is Rs. 6912 and the simple interest on the same amount of money at the same rate for 3 years is Rs. 2880. Find the principal amount.**

(a) Rs 6000

(b) Rs 5400

(c) Rs 4800

(d) Rs 4500

(e) Rs 6300

**Q3. Dharmender sold his bicycle to Shivam at loss of 25%. Shivam repair the bicycle in Rs 250 and then sold to Anurag at profit of 20%. Anurag sold it to Harish at 20% loss. Now, Dharmender bought the bicycle from Harish in Rs 1050. Find the profit/loss of the Dharmender if Harish gain a profit of Rs 90 after selling the bicycle to Dharmender.**

(a) Rs 80

(b) Rs 50

(c) Rs 100

(d) Rs 70

(e) Rs 90

**Q4. A and B starts a business together. A invests Rs 6300 while B invests 25% more than A. After 8 months, B withdraws 40% of his investment. If at the end of the year, they divide the 75% of the total profit in investment x time ratio and remaining profit in the ratio of 13 : 12, then find the total profit. Profit share of B is Rs 6120.**

(a) Rs 12000

(b) Rs 15000

(c) Rs 13000

(d) Rs 18000

(e) Rs 20000

**Q6.There is two vessels A and B. Vessel A & B contains the mixture of milk, mango juice and water in the ratio of 8 : 5 : 3 & 6 : 5 : 2 respectively. If both vessels are mixed respectively in the ratio of 16 : 13 into another vessel C then the total quantities of mango juice in vessel C will be 20 liters. Find the difference between the quantity of milk and water in vessel C?**

(a)15 liters

(b)10 liters

(c)18 liters

(d)25 liters

(e)20 liters

**Q7. Satish saved 55% of his monthly income, which he further invested in two different schemes A & B in the ratio of 7 : 5 on CI compounded annually at the rate of 10% p.a. and 20% p.a. respectively. If after two years, Satish gets total interest of Rs. 8074 from both the schemes, then find the total annual saving of Satish?**

(a)316,600 Rs.

(b)316,400 Rs.

(c)316,000 Rs.

(d)316,200 Rs.

(e)316,800 Rs.

**Q9. Ratio between length of two trains A & B is 3 : 4 and both the trains are running at the speed of 81 km/hr and 108 km/hr respectively. If both the trains are running in opposite direction, they crossed each other in 8 sec, then find in what time both trains will cross each other when running in same direction?**

(a)48 sec

(b)56 sec

(c)44 sec

(d)42 sec

(e)40 sec

** ****Q10. Radius of a cylinder is half of the side of square, whose perimeter is 6 cm more than perimeter of rectangle. If ratio between length to breadth of rectangle is 7 : 2 and between length of rectangle to side of square is 3 : 2. Find volume of cylinder, given height of cylinder is equal to breadth of rectangle?**

(a)24,938 cm^{3
}(b)24,948 cm^{3
}(c)24,848 cm^{3
}(d)24,996 cm^{3
}(e)24,918 cm^{3}

**Solutions**