**Q1. X invested Rs. P at 10% per annum, Y invested Rs.(P – 4000) less amount than X at the rate of 12% per annum. If they both get total compound interest at the end of two years Rs. 6412.8, then find capital invested by Y ? **

(a) 16000 Rs.

(b) 12000 Rs.

(c) 10000 Rs.

(d) 14000 Rs

(e) 18000 Rs.

**Q3. Ratio of Vodka and Wine in vessel A is 5 : 3 and same mixture in vessel B in the ratio of 3 : 2, 16ℓ of mixture from vessel A taken out and poured in vessel B new ratio of Vodka to wine becomes 29 : 19. If new quantity of mixture in vessel B is equal to initial quantity of mixture in vessel A, then find quantity of Vodka after 16 ℓ of mixture has been taken out from vessel A ? **

(a) 50l

(b) 48l

(c) 54l

(d) 80l

(e) 84l

**Q4. A boat takes double times in covering same distance in upstream that of downstream, if boat cover 96 km in downstream and 72 upstream in total 20 hours. Find still water speed of boat ? **

(a) 6 km/hr

(b) 8 km/hr

(c) 7 km/hr

(d) 9 km/hr

(e) 12km/hr

**Q6. There are three varities of sugar with their quantity in the ratio of 3 : 4 : 5. If 9 kg of first variety and 4 kg of second variety are added to their respective quantity and x kg of 3rd type is removed from it, then final ratio becomes 9 : 10 : 10. Find the sum of initial quantities of these varieties. **

(a) 120 kg

(b) 96 kg

(c) 84 kg

(d) 108 kg

(e) None of these

**Q7. A society organised an esvent every Saturday of week and after the event sweets are distributed among member of society. Each male got two sweets and each female got three sweets. If three males leave society and 216 sweets are distributed, then ratio between total sweets got by male to female of society is 5 : 7. Find difference between number of male and female in society?**

(a) 1

(b) 3

(c) 6

(d) 7

(e) 11

**Q8. A started a business with Rs 9000 and B joined him with Rs 16000 after 3 months. After a year ‘A’ got 35% of total profit for his managerial work while remaining profit is divided into A and B according to their investment. It after a year ‘A’ got Rs 52800 as his share, the total profit earned by them?**

(a) 74,000

(b) 76,000

(c) 80,000

(d) 84,000

(e) 88,000

**Q9. Marked price of two articles A and B are in the ratio of 7 : 9, at the time of selling shopkeeper gives discount of d% on article A and (d + 5)% on article B and made a profit of 25% on each article, if cost price of article A and B are in ratio 112 : 135. Then find percent of discount given by shopkeeper on both articles? **

(a) 12.5%, 17.5%

(b) 25%, 30%

(c) 10%, 15%

(d) 15 %, 20%

(e) 20%, 25%

**Q10. There was a race of 3000 meters between A & B on a circular track of 750 meters. First time they meet during the race is after 5 minutes of starting of race. Find the time taken by B to complete the race, if he runs at half the speed of A.**

(a) 20 minutes

(b) 18 minutes

(c) 15 minutes

(d) 10 minutes

(e) None of these

**Solutions**