**1).**Three liquids A, B and C of equal density in a mixture is in the ratio of 4 : 2 : 3. Initialy 50% of the mixture is taken out and replaced by liquid A, again 50% of the mixture is replaced by liquid B and at last 3 times the present weight of liquid C is added

to the mixture. What is the precentage of liquid C in present solution?

a) 20%

b) 30%

c) 40%

d) 50%

e) None of these

**2).**Three partners A, B and C invested money in a business in the ratio of 5:3.5 : 5.5 and ratio of their duration of investment is 2 : (8/3) : 1.33. Then what % of total profit will A get?

a) 30%

b) 35%

c) 37.5%

d) 40%

e) None of these

**3).**The ratio of present ages of son and daughter of a lady is in the ratio of 7:8 and the age of lady is sum total of ages of her daughter and son. If the ratio of ages of son after 3 years and the age of daughter 6 years ago is 4 : 3 then what will be the ratio of the present age of lady and the age of her son after four years?

a) 4:5

b) 5:3

c) 6:5

d) 9:5

e) None of these

**4).**In a two digit number the digit at unit’s place is less than twice the digit at ten’s place by 1. And the difference between the number obtained by interchanging its digits and the original number is 50% of the number obtained by adding 1 in original number. What is the original number?

a) 46

b) 57

c) 35

d) 68

e) None of these

**5).**An alloy contains mixture of two metals A and B in the ratio of 3:5, and the second alloy contains, mixture of same metals in the ratio of 2.33 : 3. In what ratio should be both alloy mixed to make a new alloy containing 42 6/7 % metal A?

a) 1 : 2

b) 3 : 2

c) 2 : 3

d) 1 : 6

e) None of these

**6).**The profit earned by a company is to be distributed among the managers and officers in the ratio of 7 : 5. If the number of managers and officers is in the ratio of 7 : 12 the amount received by each officers is 30,000 what was the total profit earned if the number of managers was 28?

a) 35 lakh

b) 17.5 lakh

c) 34.56 lakh

d) 19 lakh

e) None of these

**7).**A shopkeeper offers two successive discounts of 10% and 15% on an article and is still able to earn 53% profit. If he offers only 20% discount what will be his profit percentage?

a) 70%

b) 60%

c) 65%

d) 80%

e) None of these

**8).**Pradeep and Kishan together can complete typing work a book of 1008 pages in 12 days working 7 hrs per day. Pradeep is 25% more efficient than kishan. A page contains an average of 333 words, then how many words can Pradeep type in an hour.

a) 2000 words / hr.

b) 2050 words / hr.

c) 2100 words / hr.

d) 2220 words / hr.

e) None of these

**9).**Two trains, one from place A to B and another from B to A started simultaineously. After they meet they reach their destinations after 12.25hrs and 17.64 hrs respectively. The ratio of their speeds is.

a) 5 : 4

b) 4 : 5

c) 7 : 6

d) 6 : 5

e) None of these

**10).**The difference between the compound interest and simple interest on an amount of Rs. 46000 for 2 year is Rs. 73.6. What the rate of interest?

a) 4.25

b) 4

c) 5

d) 3.75

e) None of these

__Solution:__**1). E)**Let the inital quanity of A, B and C is 400, 200 and 300ml

After Ist replacement

A. 200 + 450 = 650

B. 100 = 100

C. 150 = 15

After IInd replacment

325 = 325

50 + 450 = 500

75 = 75

In IIIrd Step Ratio

A 325 325 13

B 500 500 20

C 75 + 225 300 12

% of liquid C = (12/45)ร100 = 26 2/3%

**2). C)**Money invested in the ratio of = 5 : (7/2) : (11/2)

= 10:7:11

The ratio of duration of investment = 2 : (8/3) : (4/3)

= 6 : 8 : 4

= 3 : 4 : 2

ratio of their profit = 10 ร 3 : 7 ร 4 : 11ร 2

= 30 : 28 : 22 = 15, 14, 11

profit % of A = (15/40) ร 100 = 37.5%

**3). D)**Let the present ages of son and daughter be 7x and 8x.

The age of lady = 15x

Now, (7x + 3) / (8x – 6) = 4/3

or, 21x + 9 = 32x – 24

or, 11x = 33

x = 3

sonโs age = 21yrs

daughter = 24 yrs

age of lady = 45 yrs

required ratio = 45/(21+4) = 9/5 = 9 : 5

**4). C)**Let the number be 10x + y

As per first condition y = 2x โ 1

As per second condition 9y โ 9x = (1/2)(10x y 1)

or, 18y โ 18x = 10x + y + 1

17y โ 28x = 1

on solving both the equations. x = 3 y = 5

Thus, number 10x + y = 10 ร 3 + 5 = 35

**5). D)**quantity of A in the first alloy = 3/8

quantity of A in the second alloy = 7/16

Let the two alloys are mixed in the ratio of x : y

% of โAโ is new mixture = { [(3x/8) + (7y/16)] / (x+y) } ร 100%

It is given that the % of โAโ in the new mixture is

= 42 6/7% ie 300/7%

Or, { [(3x/8) + (7y/16)] / (x+y) } ร 100% = 300/7

Or, (6x + 7y) / [16 (x + y)] = 3/7

or, 42 x + 49 y = 48 x + 48 y

or, 6 x = y ie. x/y = 1/6

x : y = 1 : 6

**6). C)**Let the mangers get x Rs.

(7/12) ร (x/30000) = 7/5

x = 72000 Rs.

Total money = 72000 ร 28 ร (12/7) = 34.56 lakh

**7). B)**Total discount given -10 -15 + (150/100)

– 25 + 1.5

– 23.5

let CP of article be Rs.100

then SP of article = Rs.153

labelled price = 153 / [(100-23.5) ร (1/100)]

= 153 / [76.5ร(1/100)]

labelled price = Rs.200

on giving 20% discount = SP = 200 โ 200 ร (20/100)

= 200 โ 40 = 160

profit = 160-100 = 60% profit

**8). D)**The ratio of efficiency of Pradeep and Kishan

= 125/100 = 5/4

The no. of pages that can be typed by Pradeep and Kishan together in 1 hr. = 1008 / (12 ร 7) = 12

The pages typed by Pradeep = 12ร (5/9) = 20/3 = pages

= (20/3) ร 333 = 2220 words/hr.

**9). D)**Ratio of their speed = โ(17.64) /(12.25) = 4.2/3.5 = 6/5

**10). B)**sum = diff ร (100 / r)

^{2}

or, 46000 = (73.6 ร 10000) / r

^{2}or, r

^{2}= 736/46 = 16r = 4

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