SSC Apt Exam 04050

1. A briefcase was sold at a profit of 10% . if its cost price was 5% less and it was sold for Rs.7 more the gain would have been 20%. Find the cost price of the briefcase.

2. A manufacturer makes a profit of 15% by selling a colour TV for Rs.5750. If the cost of manufacturing increases by 30% and the price paid by the retailer is increased by 20%, find the profit percent made by the manufacturer.

3. A watch dealer pays 10% custom duty on a watch that cost Rs. 250 abroad. For how much should he mark it, if he desires to make a profit of 20% after giving a discount of 25% to the buyer?

4. Arjit Sharma generally wears his father’s coat. Unfortunately, his cousin Shaurya poked him one day that he was wearing a coat of length more than his height by 15%. If the length of Arjit’s father’s coat is 120 cm then what should be the actual length of the his coat.

5. A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to this mistake.

6. The price of an item is increased by 20 % and then decreased by 20 %. The final price as compared to original price is:

7. Ratio of income of A, B, C is 3 : 7 : 4 and the ratio of their expenditure is 4 : 3 : 5. If A saves 14 2/7 of his income. Find the ratio of their saving.

8. A dog takes 7 jumps for every 10 jumps of the lion and a fox takes 12 jumps for every 10 jumps of the lion. And the distance covered by dog in 5 jumps, distance covered by lion in 15 jumps and the distance covered by fox in 20 jumps is equal. Find the ratio of their speeds.

9. ` 710 is divided among A, B and C in such a way that A receives ` 40 more than B, C receives ` 30 more than A. Find the Share of C.

10. In a tank four taps of equal efficiency are fitted on equal intervals. The first pipe is at the base of the tank. And the 4th pipe is at 3/4 th of height of the tank. Then calculate in how much time the whole tank will empty. If the first pipe can empty the tank in 12 hours.

11. A leak in the bottom of a tank can empty it in 6 hours. A tap fills the tank at the rate of 4 litres/ min is turn on. If both the taps are opened then the tank will empty in 8 hours. Find the capacity of the tank?

12. A leak in the bottom of a tank can empty it in 12 hours. A tap which can fill 20 litres of water per minute is turned on. Both the taps are opened now, then the tank is emptied in 20 hours. Find the capacity of the tank ?

13. Two friends started walking simultaneously from points A and B towards each other. 144 minutes later the distance between them was 20% of the original distance. How many hours does it take the faster walker to cover the distance AB if he needs eight hours less to travel the distance than his friend (assume all times to be in whole numbers and in hours) ?

14. A pedestrian and a cyclist left A for B at the same time. Having reached B, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to B and the cyclist turned back and also headed for B. Having reached B the cyclist turned back again and met the pedestrain 30 mins after their first meeting. Determine what time it takes the pedestrian to cover the distance between A and B :

15. Rohit left A for B at 6 a.m. An hour and a half later Vimal, whose speed was 5 km/h higher than that of Rohit left A. At 10 : 30 p.m. of the same day the distance between the two friends was 21 km. Find the speed of Vimal :

16. A certain amount becomes 29/25 times at simple interest. If the numerical value of interest rate and time be the same, find the rate of interest.

17. A certain amount becomes ` 3000 at 4% per annum in 6 1/4 years. What will be amount at 6 2/3 per annum in 5 1/2 years?

18. Jitu has ` 20,000 out of which he lends ` 4000 at 7% per annum, ` 6000 at 8% per annum, 5000 at 10% per annum and the remaining at r%. If after calculation he get to know that he had gained 12% income on the whole amount, find the value of r.

19. A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is

20.The inner-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in sq. cm.) is

21. One of the angles of a rightangled triangle is 15°, and the hypotenuse is 1 m. The area of the triangle (in sq. cm.) is

22.A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is

23.A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm find the the volume of wooden toy (nearly).

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