Q1. Shivam invested Rs. 2x-600 in a scheme offering 20% p.a. simple interest for 2 years. If Shivam earns an interest of Rs.500. Find 2/5 of x?
Q2. If the selling price of an article is increased by Rs.308, a loss of 12% gets converted into a profit of 16%. Find the cost price? (in Rs.)
Q3. A, B and C enters into a partnership by investing Rs.1200, Rs.1500 and Rs.2000 respectively. After 6 months A and C withdraw their investment while B continued for whole year. If difference between the profit share of A and B is Rs.1080, Find total profit earned? (in Rs.)
Q4. 5 men can do a work in 16 days and 8 women can do the same work in 15 days. In how many days 2 man and 3 women can do the work together ?
(a) 22 days
(b) 20 days
(c) 21 days
(d) 18 days
(e) 24 days
Q5. If the ratio of the speed of a boat in upstream and the speed of the stream is 6: 1. Find the total distance travelled by the boat in still water in 8 hours if the boat can travel 300 km downstream in 15 hours? (in km)
Q7. A shopkeeper sells his goods at 20% profit. Had he brought it at 10% more and sold it in Rs.105 more, he would have earned a profit of 25%. Find the cost price of the goods? (in Rs.)
Q8. Two trains of lengths x+80 and 2x meters running towards each other at 108 kmph and 72 kmph respectively crosses each other in 10 seconds, Find the 150% of x?
Q9. The 28 liters of mixture containing milk and water in the ratio of 3:4. Find how much water must be added to the mixture so that resultant mixture contains 60% water? (in liters)
Q10. The present ratio of ages of A and B are in the 3:4 and after 6 years ratio will be 5:6. Find the sum of their present ages? (in years)
Q11. A boy travelled from his home to collage and collage to home at a speed of 20 kmph and 10 kmph respectively in 2 ¼ hours. Find the distance from his collage to home? (in km)
Q12. The average marks of a class in English are 76. If the average marks of 30 boys of same class is 68 while the average marks of n girls are 82. Find the value of n?
Q13. The difference between compound interest and simple interest at the same rate of interest ‘r’ percent per annum on an amount of Rs.15,000 for 2 years is Rs.96. What is the value of r²- ½ of r?
Q14. Find the probability of getting a sum divisible by 4 if two dices are thrown simultaneously?