- The marked price of an article is 20% more than the cost price and the discount percent is 15% on marked price. If profit earned is rs.96, then find the marked price of an article.
60008500486056005760Option E

Let CP= 100x

MP= 100x*120/100 =120x

SP =120x*85/100 =102x

profit =102x-100x =2x

2x= 96

x= 48

Marked price of an article =120*48 =5760 - The ratio of present ages of A and B is 4:3. After 2 years from now and 4 years ago respectively, the ratio of age of A and B is 9:4. What is the age of A 8 years ago ?
810151620Option A

Let percent age of A =4x

percent age of B =3x

4x+2/3x-4 =9/4

16x+8=27x-36

11x =44

x=4

age of after 8 years =4x-8 =8 years. - X and Y started a business by investing rs.5000 rs.3000 respectively. After one year X invested rs.3000 more and Y invested rs.2000 more and profit of the business at the end of the 2 years is 2600. What is the profit share of Y.
200010001500600800Option B

Profit sharing ratio of X and Y =(5000*1+3000*1):(3000*1+2000*1) =8000:5000 =8:5

profit share of B =2600*5/13 =1000 - Cost of type A and type B sugar are rs,28/kg and rs,34/kg respectively . If type A and type B sugar are mixed together and sold at rs40/kg and profit percentage is 25%, then in what ratio quantities of type A and type B sugar are mixed ?
2:55:41:12:11:2Option E

selling price of mixture =rs.40/kg

cost price of mixture =rs.40*4/5 =32/kg.

by the rule of alligation: 28 34

32

2 4

ratio: 1:2 - If diameter of the circle is equal to the side of the square having perimeter 224cm. then find the perimeter of the circle.
176180185220240Option A

Perimeter of the square =224

side of square =224/4 =56

diameter of the circle =56

2r =56

r=28

256r =2*22/7*28 =176 cm. - The difference between the simple and compound interest on a certain sum is 72 and the rate of interest is 15%, then find the sum.
35004800320044004500Option C

72= PR^2/100^2

72 =p*225/10000

p= 72*10000/225= 3200 - The ratio between speed of boat in still water and speed of stream is 5:3. A boat can row a distance of 160km in 20 hours in upstream speed, then what is the downstream speed of the boat ?
4018203245Option D

Let speed of boat in skill water =5x

speed of stream =3x

downstream speed =5x+3x =8x

upstream speed =5x-3x =2x

upstream speed =160/20 =8 km/hr

2x =8 km/hr

x=4 km/hr

downstream speed of boat =8x =32 km/hr - A bag contains 4 red and 2 green balls. If two balls are taken out from the bag randomly, then find the probability of getting one ball at each colour.
7/153/20488/15Option E

probability=(4C1)*(4C1)/(6C2)

=4*2/6*5/2*1=8/15 - Population at a village is decreased by 20% in 2017 and increased by 40% in 2018. If total population of the village in 2018 is 56000, then what is the population in 2016.
4000060000360005000048000Option D

let population in 2016 =x

x*80/100*140/100 =56000

x =56000*100/80*100/140 =50000 - A can do a piece of work in 15 days and B can do the same work in 20 days respectively. If A and B together worked for 6 days and then A left the work, then in how many days B alone can do the remaining work?
4 days6 days8 days15 days5 daysOption B

LCM of 15 days 20 =60

Total work =60

efficiency of A =60/15 =4

efficiency of B =60/20 =3

A and B together worked for 6 days =(4+3)*6 =42 work

remaining work =60-40 =18

remaining work B alone can do =18/3 =6 days .