**Q1. The profit earned on selling an article at Rs. 500 is same as loss incurred on selling the article at Rs. 440. What will be the profit/loss percentage (approx.) if 10 such articles are sold at 10% discount and remaining 10 are sold at 20% discount. Cost price and marked price of each article are in the ratio of 47:58.**

(a) 6%

(b) 7%

(c) 5%

(d) 4%

(e) None of these

**Q2. The probability of attempting two fixed questions correctly out of some fixed questions which are included in order to make every student pass the exam in an exam of 20 questions is 1/19. If the student attempts 16 questions correct, then find the maximum probability of attempting the non-fixed questions as correct.**

(a) 4/5

(b) 3/4

(c) 11/20

(d) 7/10

(e) 1/4

**Q3. A boat when travels a distance of 20 km upstream takes 5 hours in river Ganga. The same boat takes 8 hours to cover a distance of 80 km downstream in river Yamuna. If the ratio of speed of current in river Ganga to that of in river Yamuna is 2:1, then find the time taken by same boat (in hour) to cover 100 km downstream in river Ganga.**

(a) 10

(b) 8

(c) 10⅓

(d) 8 ⅓

(e) 6 ¼

**Q5. Sonia, Rahul & Mohan entered a business firm by investing in the ratio of 5:8:7. Rahul due to some issues has to withdraw from the business for 8 months in the contract period. But when he rejoined the business, he invested an additional amount of 25% of what he has invested earlier. At the end of contract of 3 years, Mohan received Rs. 5040 out of total profit Rs. 14000. Find the ratio of period of investment for which Rahul was in business from the starting to the period of investment for which he rejoined. (Sonia & Mohan were in for full period)**

(a) 3 : 11

(b) 1 : 5

(c) 2 : 5

(d) 2 : 7

(e) 3 : 14

**Q6. A and B started a business together with capital of Rs. 8000 and Rs. 10,000 respectively. A left the business after 5 months while B continued. A gets 20% of total profit for managing business and remaining is distributed in ratio of their profit sharing. If after a year, A gets total profit of Rs.2500 then, find the total profit earned by ‘A’ and ‘B’ together. **

(a) 10,000

(b) 8,500

(c) 7,500

(d) 6,250

(e) 5,750

**Q7. A box contains ‘x’ blue balls, 5 red and 5 black balls. If probability of choosing 2 blue balls from the bag is 0.125, then find the total number of balls in the box? **

(a) 25

(b) 15

(c) 16

(d) 18

(e) 21

**Q8. Sawan went to Kanpur from Delhi with a certain speed and return to Delhi by reducing his speed by 12 ½ %. if distance between Delhi and Kanpur is 560 km and time taken by him to reach Kanpur from Delhi is 2.5 hours less than time taken by him to return to Delhi from Kanpur.Then find the time taken by him in whole journey. **

(a) 32 hours

(b) 42 hours

(c) 37 ½ hour

(d) 34 ¼ hour

(e) 35 hours

**Q9. A, B and C independently can do a work in 15 days, 20 days, and 30 days respectively. They work together for some days after which C leaves and remaining work is completed by A and B together. Total Rs. 18000 is paid for the work and ‘B’ gets Rs. 6000 more than ‘C’. For how many days did ‘A’ worked? **

(a) 8 Days

(b) 4 Days

(c) 6 Days

(d) 10 Days

(e) 2 Days

**Q10. Mitra and Mohit started a business with initial investment in ratio 4 : 11 respectively . After 6 months of starting of business Maya also joined the business with investment more than investment made by mohit. If after a year, profit share of Mitra and Maya together is Rs. 37560 then find the difference between profit share of Mohit and Maya.**

(a) Rs 12320

(b) Rs 18780

(c) Rs 15625

(d) Rs 19195

**Solutions**