SSC Apt Exam 04062

1. Cost price of two motorcycles is same. One is sold at a profit of 15 % and the other for Rs. 4800 more than the first. If the net profit is 20 %. Find the cost price of each motorcycle :

2. Rajesh bought 1200 eggsat Rs. 16 a dozen. At what price per dozen must he sell the eggs so as to earn a profit of 15% ?

3. There were two articles and the sum of cost price of these articles is Rs. 500. One of them was sold at a profit of 20% and another at a loss of 20%. Besides if the selling prices of both the articles were same. Find the amount of overall loss.

4. In every month Rajesh consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350 ? Given that the price of rice and consumption of wheat is constant.

5 . 8 % of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was:

6. Two numbers are in the ratio 2 : 3. If the 20 % of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is :

7 .In the mixture of 48 litre the ratio of milk to water is 5 : 3. How many litres water should be added to the mixture so that the ratio of milk and water may reverse ?

8 .A milkman says that he sells milk at cost price but he makes 16 2/3 profit by mixing water to milk. If he sells 14 litre (mixture) milk, find the quantity of water in the mixture.

9 .In 700 ml solution of 18% alcohal, how much quantity of pure alcohol is to be added so that the new solution contains 30% alcohol.

10 . A man reduces his speed to 2/3, he takes 1 hour more in walking a certain distace. The time (in hours) to cover the distance with his normal speed is:

11 . A and B start at the same time with speeds of 40 km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is:

12 . The speeds of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reachs the destination?

13 . Aman can do a work in 8 days and Shyam in 10 days. In how many days they, work together will do the double work?

14 . A can do a piece of work in 23 days and B in 29 days. In how many days they work together to finish the work?

15. Ram can finish a work in 30 days and Vijay in 60 days, In how many days they work together will do the same work?

16 . Rajesh invested 40% of his total amount at 15% per annum, 50% of the rest amount at 10% per annum and the remaining amount at 18% If the interest is calculated on the whole amount what will be effective single annual rate of interest?

17 . An article is bought for ` 6000 at down payment and rest of the amount was paid back after 2 1/2 years with 6% per annum rate of simple interest by paying `12650. Find the cost of the article.

18 . When the rate of simple interest decreases from 5% to 4% and the investment is increased by `4000 in this way the earnings in two conditions remains same. Find the initial amount of investment.

19.The adjacent sides of a paralleo gram are 36 cm and 27 cm in length, If the distance between the shorter sides is 12 cm, then the distance between the longer sides is

20. A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.

21. If the diagonals of a rhombus are 8 cm and 6 cm, then the area of square having same side as that of rhombus is

22 . By melting a solid lead sphere of diameter 12 cm, three small spheres are made whose diameters are in the ratio 3 : 4 : 5. The radius (in cm) of the smallest sphere is

23 . A cone is cut at mid point of its height by a frustum parallel to its base. The ratio between the volumes of two parts of cone would be

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