AMCAT PREVIOUS PLACEMENT PAPER QUESTIONS-10

Ques. A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in

5 days

6 days

7.5 days

8.5 days

Explanation:

B’s 5 days work =

1/10∗5=½

Remaining work =1−1/2=½

A can finish work =15∗1/2=7.5days

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

35 ½

36 ½

37 ½

38 ½

Explanation:

Work done by A in 20 days = 80/100 = 8/10 = 4/5

Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 — (1)

Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)

Work done by A and B in 1 day = 1/15 —(2)

Work done by B in 1 day = 1/15 – 1/25 = 2/75

=> B can complete the work in 75/2 days = 37 (1/2) days

Ques. 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?

30 days

40 days

50 days

60 days

Explanation:

Let 1 man’s 1 day work = x

and 1 woman’s 1 days work = y.

Then, 4x + 6y = 1/8

and 3x+7y = 1/10

solving, we get y = 1/400 [means work done by a woman in 1 day]

10 women 1 day work = 10/400 = 1/40

10 women will finish the work in 40 days

Ques, 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

6 days

7 days

8 days

9 days

Explanation:

1 woman’s 1 day’s work = 1/70

1 Child’s 1 day’s work = 1/140

5 Women and 10 children 1 day work =

(5/70 +10/140)=1/7

So 5 women and 10 children will finish the work in 7 days.

Ques. 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio

1:2

1:3

2:1

2:3

Explanation:

Let 1 man 1 day work = x

1 boy 1 day work = y

then 5x + 2y = 4(x+y)

=> x = 2y

=> x/y = 2/1

=> x:y = 2:1

Rahul and Sham together can complete a task in 35 days, but Rahul alone can complete same work in 60 days. Calculate in how many days Sham can complete this work ?

84 days

82 days

76 days

68 days

Explanation:

As Rahul and Sham together can finish work in 35 days.

1 days work of Rahul and Sham is 1/35

Rahul can alone complete this work in 60 days,

So, Rahul one day work is 1/60

Clearly, Sham one day work will be = (Rahul and Sham one day work) – (Rahul one day work)

=1/35−1/60=1/84

Hence Sham will complete the given work in 84 days.

Ques. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

1.    4 days
2.    5 days
3.    6 days
4.    7 days

Explanation:

Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.

Then, 6x + 8y =    1/10 and 26x + 48y =    1/2 .

Solving these two equations, we get : x =    1/100 and y = 1/200 .

(15 men + 20 boy)’s 1 day’s work =    15/100    + 20/200    =    1/4 .

15 men and 20 boys can do the work in 4 days.

Ques. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

1.    40
2.    50
3.    54
4.    60

Explanation:

(A + B)’s 20 day’s work =    ( 1/30 x 20 ) = 2/3   .

Remaining work =    ( 1 – 2/3 )    = 1/3 .

Now,    1/3 work is done by A in 20 days.

Therefore, the whole work will be done by A in (20 x 3) = 60 days.

Ques. A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.

Rs.1200

Rs.1230

Rs.1260

Rs.1290

Option C

Explanation:

Let the new S.P. be x, then.

(100 – loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)

=>(95/1140=105/x)=>x=1260

Ques. A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?

2% Profit

3% Profit

2% Loss

3% Loss

Explanation:

S.P.=(((100+gain%)/100)∗C.P)

So, C.P. = ((100/110)∗25.75)

When S.P. = 25.75 then Profit=25.75−25=Re.0.75

Profit%=(0.75/25)∗100=3%

Ques. If the cost price is 25% of selling price. Then what is the profit percent.

150%

200%

300%

350%

Explanation:

Let the S.P = 100

then C.P. = 25

Profit = 75

Profit% = 75/25 * 100 = 300%

Ques. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x

13

14

15

16

Explanation:

Let the Cost Price of one article = Rs. 1

CP of x articles = Rs. x

CP of 20 articles = 20

Selling price of x articles = 20

Profit = 25% [Given]

⇒((SP−CP)/CP) = 25/100=1/4⇒(20−x)/x=¼

⇒80−4x=x

⇒5x=80

⇒x=80/5=16

Ques. A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

Rs. 660

Rs. 760

Rs. 860

Rs. 960

Explanation:

Here always remember, when ever x% loss,

it means S.P. = (100 – x)% of C.P

when ever x% profit,

it means S.P. = (100 + x)% of C.P

So here will be (100 – x)% of C.P.

= 80% of 1200

= 80/100 * 1200

= 960

Ques. Sahil purchased a machine at Rs 10000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.

Rs. 22000

Rs. 24000

Rs. 26000

Rs. 28000

Explanation:

Question seems a bit tricky, but it is very simple.

Just calculate all Cost price, then get 150% of CP.

C.P. = 10000 + 5000 + 1000 = 16000

150% of 16000 = 150/100 * 16000 = 24000

Ques. A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.

Rs 25300

Rs 22300

Rs 24300

Rs 21300

Explanation:

This type of question can be easily and quickly solved as following:

Let at Rs x it can earn 15% pr0fit

85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]

x = (18700*115)/85

= Rs.25300

Ques. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

130%

140%

150%

160%

Explanation:

Let the C.P. = x,

Then S.P. = (120/100)x = 6x/5

New S.P. = 2(6x/5) = 12x/5

Profit = 12x/5 – x = 7x/5

Profit% = (Profit/C.P.) * 100

=> (7x/5) * (1/x) * 100 = 140 %