1.
Prakash can do a work in 10 days and Priya can do the same work in 15 days. Prakash started the work and left after 4 days. How many days will priya take in completing the remaining work?
• A.
9 days
• C.
8 days
• B.
6 days
• D.
12 days
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Explanation :
Prakash�s 4 days work =
 4 10
=
 2 5

Remaining work = 1 -
 2 5
=
 3 5

Priya�s 1 day work =
 1 15

Time taken to complete
 3 5
of work =
 3 5
x 15 = 9 days
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2.
If 40 men earn Rs. 2000 in eight days. How many men will earn Rs. 200 in two days
• A.
20
• C.
14
• B.
16
• D.
10
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Explanation :
 Wages Days Men 2000 ↑ 8 | 40 200 | 2 ↓ x
x =
 200 x 8 x 40 2000 x 2
= 16
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3.
A and B are assigned a work to complete for Rs. 37.50. A can do it in 20 days, while B in 30 days. If they complete the work in 8 days with the help of C, then how much would C get?
• A.
Rs. 12.50
• C.
Rs . 14
• B.
Rs. 13
• D.
Rs. 15
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Explanation :
A's 1 day work =
 1 20
and B's 1 day work =
 1 30

(A + B + C)'s 1 day work =
 1 8

C's 1 day work =
 1 8
-
 1 20
-
 1 30

=

 15 - 6 -4 120
=
 5 120
=
 1 24

Ratio of their work =
 1 20
:
 1 30
:
 1 24

= 6 : 4 : 5

Share of C =
 5 15
x 37.50 = Rs. 12.50
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4.
A and B can do a work in 12 days while B and C can do it in 6 2/3 days. After A had worked on it for 3 days and B for 4 days. C finished the work in 7 days. In how many days can A alone do the work?
• A.
30
• C.
10
• B.
35
• D.
20
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Explanation :
Let the daily work of A, B an C be x, y, z respectively.
Then, x + y =
 1 12
------------- (1) => y =
 1 12
- x
y + z =
 3 20
------------- (2) => z =
 3 20
- y =
 3 20
-
 1 12
+ x
=
 4 60
+ x =
 1 15
+ x => 3x - 4y + 7z = 1 ------------- (3)
Substituting (1) and (2) in (3) we get
3x + 4
 1 12
- x    + 7
 1 15
+ x    = 1 => 3x +
 1 3
- 4x +
 7 15
+ 7x = 1
6x =
 15 - 5 - 7 15
=
 3 15

x =
 3 15 x 6
=
 1 30

A alone can complete the work in 30 days.
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5.
Three persons A, B, C can do a piece of work in 15 days, 6 days and 10 days respectively. In how many days will all; the three finish three times the similar work?
• A.
3 days
• C.
6 days
• B.
9 days
• D.
4 days
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Explanation :
(A + B + C)'s 1 day work =
 1 15
+
 1 6
+
 1 10
=
 2 + 5 + 3 30
=
 10 3
=
 1 3

The work is completed in 3 days.
3 times the work is completed in 3 x 3 = 9 days
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