SSC Apt Exam 04064

1. A milkman mixes 10% water in pure milk but he is not content with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of milkman if he sells it at cost price :

2. The profit percentage of A and B is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while B calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits ?

3. Each of A and B sold their article at Rs.1818 but A incurred a loss of 10% while B gained by 1%. What is the ratio of cost price of the articles of A to that of B ?

4. If the price of sugar is decreased by 20%, a person can buy 2 kg more sugar for 360 rupees. Find the original and present price of sugar/kg.

5. In an examination A got marks 10% less than B, B got marks 25% more than C, C got marks 20% less than D. If A got 360 marks out of 500, then D got marks:

6 . The number of seat in a cinema hall is increased by 25%. the cost of a ticket is also increased by 10%. The overall percentage increase in the revenue is:

7 .An article of jewellery of 35 gram made up of gold and silver and cost of the article is ` 13440. If the weight of gold and silver is interchanged then the cost of the article becomes ` 9660. If the cost of gold per gram be ` 540, find per gram cost of silver. Also find the weight of each gold and silver in the jewellery.

8.Three glass of equal capacity contains a mixture of water and alcohol in the ratio 4 : 3, 5 : 2 and 7 : 3 respectively. If the mixture of all three glasses is poured into an another fourth glass, what will be the ratio of alcohol and water in the new mixture.

9 .In an alloy 80% is copper and remaining tin. In an another alloy, copper is 85% and tin is 12%. In what ratio should the two alloys be mixed so that the new mixture must have 15% tin. Also find the percentage of copper in the new mixture.

10. Ankit can do 1/3 of a piece of work in 5 days, Vinod do 3/5 of the same work in 15 days and Chetan can do 6/7 of that work in 18 days. In how many days three of them working together will complete the work?

11. Rakesh, Ashok and Raju can do a piece of work in 30, 45 and 60 days respectively. Working together, In how many days they will complete the Two-fifth work?

12. A tyre has two Punctures. The first Puncture alone would have made the tyre flat in 9 minutes and second alone would have done it in 12 minutes. If air leaks out at a constant rate, how long it takes both the Punctures together to make it flat?

13. Rajesh kumar starts in Honda city from Delhi towards Goa. After sometime he realises that he will cover only 75% of the distance in the scheduled time and he therefore doubles his speed immediately and thus manages to reach Goa exactly on time. Find the time after which Rajesh kumar changed his speed, given that he could have been late by 3 hours if he had not changed his speed:

14 . After travelling 3 hours a train meets with an accident due to this it stops for an hour. After this the train moves at 75 % speed of its original speed and reaches to destination 4 hours late. If the accident would occur at 150 km ahead in the same line then the train reaches only 3.5 hours late. Then find the distance of journey and the original speed of the train?

15 . After travelling 25 km the speed of the car increases by 1/4th of its original speed, due to this the car reaches 30 minutes earlier to its destination. If the speed of the car increased 10 km before, then it reaches to its destination 32 2/5 minutes earlier. Then find the distance travelled by car:

16 . In what time will a sum of money doubles itself at the rate 20% per annum (p.a.) simple interest?

17 . Rajesh lent Rs. 6000 to Bhuvnesh for 2 years and Rs. 1500 to Pawan for 4 years and received altogether from both Rs. 900 as simple interest. The rate of interest is :

18 . What annual payment will discharge a debt of Rs. 580 in 5 years, the rate being 8% p.a.

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21.The area of a rhombus is 256 sq.cm. and one of its diagonal is twice the other in length.Then length of its larger diagonal is

22.The length of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 sq.cm, then its height is:

23.The cost of car penting a room is Rs. 120 . If the width had been 4 metres less, the cost of the Carpet would have been Rs. 20 less. The width of the room is :

24.The diameter of two cylinders, whose volumes are equal, are in the ratio 3 : 2, Their heights will be in the ratio.

25 . A solid metallic sphere of radius 8 cm is melted to form 64 equal small solid spheres. The ratio of the surface area of this sphere to that of a small sphere is