SSC Apt Exam 04053

1. Cheap and Best, a kirana shop bought some apples at 4 apple per rupee and an equal number at 5 apple per rupee. He then sold the entire quantity at 9 for 2 rupees. What is his percentage profit or loss ?

2. A shopkeeper calculates percentage profit on the buying price and another on the selling price. What will be their difference in profits if both claim a profit of 20% on goods sold for Rs. 3000 ?

3. A merchant makes a profit of 20% by selling an article. What would be the percentage change in the profit percent had he paid 10% less for it and customer paid 10% more for it?

4. Rajesh spends 20% of his monthly income on his houshold expenditure, 15% of the rest on books, 30% of the rest on clothes and saves the rest. On counting, he comes to know that he has finally saved Rs. 9520. Find his monthly income .

5. The population of a village is 5500. If the number of males increase by 11% and the number of females increases by 20% then the population becomes 6330. Find the population of females in the town.

6. Ram sells his goods 25% cheaper than Shyam and 25% dearer than Balram. How much percentage is Balram’s goods cheaper than Shyam’s ?

7. The are two vessels of equal capacity, one full of milk, and the second one-third full of water. The second vessel is then filled up put of the first, the contents of the second are then poured back into the first till it is full and then again the contents of the first are poured back into the second till it is full. What is the proportion of milk in the second vessel?

8. The ratio of the volume of water and glycerine in 240cc of mixture is 1 : 3. The quantity of water (in cc) that should be added to the mixture so that the new ratio of the volumes of water and glycerine becomes 2 : 3 is

9. If (a +b) : (b+c) : (c+a) = 6 :7 : 8 and (a+b+c) =14, then the value of c is

10. The difference between the times taken by two buses to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 kmph, find the slower speed:

11. One bad day, at 7 a.m. I started on my bike at the speed of 36 kmph to meet one of my relatives. After I had travelled some distance, my bike went out of order and I had to stop. After resting for 35 minutes, I returned home on foot at a speed of 14 kmph and reached home at 1 p.m. Find the distance from my house at which my bike broke down :

12. When a bus stops at different stations then its average speed is 40 km/h. But when it travels without stoppage the average speed of the bus is 50 km/h. Then find how many minutes the bus stops in an hour?

13. Three typist A, B and C working together 8 hours per day can type 900 pages in 20 days. In a day B types as many pages more than A as C types as many pages more than B. The number of pages typed by A in 4 hours equal to the number of pages typed by C in 1 hour. How many pages C types in each hour?

14. Anne, Benne and Cenne are three friends. Anne and Benne are twins. Benne takes 2 days more than Cenne to complete the work. If Anne started a work and 3 days later Benne joins him, then the work gets completed in 3 more days. Working together Anne, Benne and Cenne can complete thrice the original work in 6 days. In how many days Benne can complete twice the original work with double the efficiency working alone?

15. Henry and Ford are two different persons, but when they worked together, they complete it in 10 days. Had Henry worked at half of his efficiency and Ford at 5 times of his efficiency it would have taken them to finish the job in 50% of the scheduled time. In how many days Ford can complete the job working alone?

16. A lent out 4800 to B at 8% per annum rate of simple interest for 2 years. B lent the same amount to C at 3% more for the same time period. If after the completion of time B paid back to A and C paid back to B, Find the profit of B.

17. A certain amount was lent out at 8% per annum rate of simple interest and after one year ` 4680 was paid back and the interest rate on the remaining sum was made 7% per annum. If the interest of second year is 3/4 of the first year’s interest, find the amount lent out

18. X, Y and Z are three friends. X took loan from Y and Z of ` 1200 and 1600 at 5% per annum and at 4% per annum respectively for 3 years. After the completion of the time X returned the amount with interest to Y and Z. Being a friend Y and Z returned 1% of the interest they received from X. Find the actual interest X paid to Y and Z.

19.The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be:

20.The perimeter of a rhombus is 100 cm, If one of its diagonals is 14 cm.Then the area of the rhombus is

21.The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm2 the sum of the length of the parallel sides is

22 .A sector is formed by opening out a cone of base radius 8 cm and height 6 cm. Then the radius of the sector is (in cm)

23 .A solid cone of height 9 cm with diameter of its base 18 cm is cut out from a wooden solid sphere of radius 9 cm. The percentage of wood wasted is :

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