Ratio and Proportion For SBI PO : Set – 04

1) A man purchases some orange at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs.60. If he sells all the oranges at the rate of 3 for Rs.50, find his gain or loss percent (to the nearest integer)

a) 34% loss

b) 31.5% loss

c) 31.5% profit

d) 34% profit

e) 35% Profit

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(c)

Man purchased 15 oranges of each type

C.P of 1st type={40/3}*15=200

C.P of 2nd type={60/5}*15=180

Total cost price=(200+180)=380

Total selling price={50/3}*30=500

Profit percentage=(500-300)/380*100

=31.5%

2) Harsh has 50 paise, 25 paise and 10 paise coins in the ratio of 5 : 9 : 4 amounting to 412. Find the number of 10 paise coins.

a) 720

b) 240

c) 320

d) 400

e) 420

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(c)

let ratio be x

Number of coins be 5x; 9x;4x respectively

(0.50)5x+(0.25)9x+(0.10)4x=412

25x+2.25x+0.4x=412

5.15x=412

X=80

4x=320

3) In a village 75% of the populations are literate of which the men and women are in the ratio 8:7 respectively. If the number of literate women is 70000. What is the total population of the village?

a) 1.5lacs

b) 2lacs

c) 70,000

d) 80,000

e) 50,000

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b)

= 2 lakhs

4) When a number is added to another number the total becomes 150 percent of the second number what is the ratio between the first and the second number?

a) 3:4                  

b) 2:1                  

c) 1:2                  

d) 4:3

e) 3:2

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c)

x+y=150/100y

x/y=1/2  = x:y = 1:2

5) If two numbers are in the ratio 7:12 and their least common multiple is 336, what is the sum of the numbers?

a) 57

b) 67

c) 75

d) 76

e) 78

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d)

Two numbers are in the ratio 7:12

7x,12x; x must be the H. C. F

product of 2 numbers=H.C.F * L.C.M

7x*12x=336*x

x=4 ,

sum=19x=19*4=76

6) The ratio of the speed of two cars is 5:8. If the second car covers 300km in 3 hours find the speed of first car?

a) 65.5kmph           

b) 62.5kmph  

c) 70kmph    

d) 72.5kmph  

e) None of these

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(b)

C1       C2

5x:     8x

C2=300/3=100km/hr

8x = 652.5 km/hr

7) The ratio of the number of students studying in schools A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the schools in increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in school A, B, and C?

a) 13 : 25 : 15        

b) 20 : 15 : 13

c) 15 : 25 : 13        

d) 25:15:30 

e) None of these

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(c)

A        : B      : C

50      : 8      : 4

600: 1000: 520

15: 25: 13

8) A man spends 80% of his monthly salary on rent, EMI and miscellaneous expenses in the ratio of 3:1:4 . If he spends a total of 16000rs on rent and EMI together, how much is his monthly salary?

a) 44000

b) 35000

c) 40000                

d) 48000

e) 50000

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(c)

Rent + EMI = 40%

40%    = 16000

100%  = x

x= 40000

10) Rahul and Gaurav started a business in the ratio of 15:6 and their profit were in the ratio of 3:1. If Rahul invested the money for 6 months, then for what time did Gaurav invest the money?

a) 3months

b) 5months  

c) 6months

d) 7months

e) None of these

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(b)

x= 5 months