1. A can do a piece of work in 9 days and B can do the same work in 15 days. If they work together, in

what ratio A and B will receive their wages?

1) 3 :5 2) 5:3 3) 2:5 4) 5:2 5) None of these

Solution: (2).

A’s 1 day’s work = 1/9

B’s 1 day’s work = 1/15

A’s share : B’s share

= 1/9 : 1/15 = 5/45 : 3/45 = 5:3

2. A can finish a work in 15 days, B in 20 days and C in 25 days. All these three worked together and

earned Rs.4700. The share of C is

1) Rs.1200 2) Rs.1500 3) Rs.1800 4) Rs.2000 5) None of these

Solution: (1)

A’s 1 day’s work = 1/15

B’s 1 day’s work = 1/20

C’s 1 day’s work = 1/25

A, B and C worked together .

Therefore ( A+ B +C )’s 1 day’s work

= 1/15 + 1/20 + 1/25

= (20 + 15 + 12) / 300

= 47/300

Days taken to complete work by A, B and C working together = 300/47

Therefore share of C = 1/25 x 300/47 x 4700

= Rs.1200.

3. A person can do a piece of work in 26 days and an another person can do the same work in 39 days.

If they work together, then by what per cent the wages of 1st person is more than that of 2nd person?

1) 25% 2) 35% 3) 15% 4) 50% 5) None of these

Solution: (4).

Let 1st person be x and 2nd person be y.

Then, x’s 1 day’s work = 1/26

Y’s 1 day’s work = 1/39

x’s share : y’s share

= 1/26 : 1/39 = 3/78 : 2/78 = 3:2

Difference of ratio = 3 – 2 = 1

Therefore required percentage = ½ x 100% = 50%

Therefore 1st person’s wages is 50% more than the 2nd person’s wages.

4. A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days . the same

money is sufficient to pay the wages of both for

1) 24 ½ days 2) 12 days 3) 12 ¼ days 4) 14 days 5) None of these

Solution: (2).

A’s 1 day’s work = 1/21

B’s 1 day’s work = 1/28

Therefore same money is sufficient to pay the wages of both for

= 1/ (1/21 + 1/28) = 21 x 28 / 21 + 28 = 21 x 28 / 49

= 3 x 4 = 12 days

5. A,B and C completed a work costing Rs.1800. A worked for 6 days, B worked for 4 days and C

worked for 9 days. If their daily wages are in the ratio of 5:6:4, how much amount will be received by A ?

1) Rs.600 2) Rs.500 3) Rs.900 4) Rs.450 5) None of these

Solution: (1).

Ratio of the wages of A, B and C = 5 : 6 : 4

A’s share : B’s share : C’s share

= ( 6 x 5) : ( 4 x 6 ) : ( 9x 4)

= 30 : 24 : 36 = 5 : 4 : 6

Therefore A’s share = 5/15 x 1800 = Rs.600

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