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**Q1. Ram sold an article to Shyam at a certain profit percent and Shyam sold it to Mohan at same profit percent. If Mohan sold it to Rakesh at the same price (C.P) of Ram and get 36% loss. Then find at what profit percent Ram sold the article.**

**Q2. If 2 sina + 15 cos2a = 7, 0 < a < 90, find the value**

of tana.

of tana.

**Q3. A person bought two types of articles at the rate of 6 articles for Rs. 1, and 7 articles for Rs. 1 and sold all articles at rate of 12 articles for Rs. 2. Find the overall profit or loss percent in allover the business.**

**Q4. A person spends 75% of his income. If his income increases by 30% and his expenditure also increases by 25%, then how much percent saving will change.**

**Q5.**

**1 × 2 × 3 × 4 × ……………………. 520 is divisible by 7n. Find the max value of n.**

**Q6.**

**Ratio of the principal and amount after a certain time period is 4 : 5, then after 2 years principal and amount ratio becomes 5 : 7. Then find the rate of interest per annum.**

**Q7.**

**A certain sum of money is invested for 3 years. If rate of interest is 12.5%, 10% & 25% per annum compounded annually respectively. If the total compound interest in 3 year is Rs. 1750. Find the principal.**

**Q8.**

**In one glass milk and water are mixed in the ratio 2 :3 and in another glass they are mixed in the ratio 7 : 3. In what ratio should the content of the two glasses be mixed together so that the new mixture contains milk and water in the ratio 1 : 1.**

**Q10. A certain money is distributed among A, B, C & D. Such that B get 12.5% more than A but 25% more than C. D get 1/3rd less than C. If A gets Rs. 260 more than D. Then find the amount of D.**

**Q11.**

**8 years ago a couple was married, at the time of marriage the age of wife was 20% more than her husband but after 7 years from now the age of wife will be 12.5% more than her husband. Find their present age.**

**Q12.**

**A, B & C are employed to do a piece of work for Rs. 460. A & B are supposed to finish 13/23 of the work together, while B & C are supposed to finished 17/23 of the work together. Amount shall be paid to A is.**

**Q13.**

**A large solid sphere is melted and moulded to form identical right circular cones with base radius and height is melted and moulded to form a smaller solid sphere. Then the ratio of the surface area of the smaller to the surface area of the larger sphere is.**

**Q14.**

**Three pipes A, B & C can fill a tank with water in 24 min, 30 min & 20 min respectively. First pipe C is opened. After some time, at 8 : 42 am pipe C is closed and A & B are opened together. At 8 : 48 am tank will filled up then find at what time pipe C was opened.**

**Q15.**

**In a triangle ABC, AB = AC. A circle is drawn which passes through the point B, and touches the line AC at point D and intersect the line AB at point P. If AD = CD, Find AP/BP.**

**Q16.**

**A, B & C start their journey at the same place with speed 3 km/h, 4 km/h & 5 km/h respectively at 1 am, 2 am & 3 am respectively. When B meets to A, then A returns and meet to C. At what time A meets to C.**

**Q17.**

**If the radius of a cylinder is decreased by 20% and the height is increased by 12.5% to form a new cylinder. Then volume will be increased by.**

**Q18.**

**Two boats A & B start towards each other from two places, 480 km apart. If A proceeds down and B up the stream. The sum of speed in still water of A & B is 80 km/h. Find in how much time they will meet.**

**Q19.**

**The average age of 80 students of a class is 19.5 years. If average age of first 15 students is 23.5 years and average age of next 25 students is 17.5 years. Find the average age of remaining students.**

**Q22.**

**In a triangle ABC, D,E & F points are on BC, AB & AC respectively. If BD : CD = 3 : 2, AB : AC = 6 : 5. If DE AB, DF AC, find the ratio of DE : DF.**

**Q23.**

**ABCD is a square, BF is angle bisector of ∠ABO. OB ⊥ EF, OF = 12cm, OE = 8cm. Find the area of ABCD.**

**Q24.**

**The difference between the area of circles which are inscribed and circumscribed on a equilateral triangle is 9 cm2, then find the area of that equilateral triangle.**