Model 2 Formula Method ‘M1D1W1 = M2D2W2’ Practice Questions Answers Test With Solutions & More Shortcuts

Question : 1 [SSC CGL Tier-I 2010]

If 5 men or 7 women can earn Rs.5,250 per day, how much would 7 men and 13 women earn per day ?

a) Rs.11,600

b) Rs.11,700

c) Rs.17,100

d) Rs.16,100

Answer: (c)

5 men ≡ 7 women

[Both earn same amount in 1 day]

7 men ≡ $7/5 × 7 = 49/5$ women

7 men + 13 women

= $49/5 + 13 = 114/5$ women

Now, Since, 7 women ≡ Rs.5250

$114/5$ women ≡ $5250/7 × 114/5$ = Rs.17100

Question : 2 [SSC Constable (GD) 2013]

A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76. The daily earning of ‘C’ is

a) Rs.56

b) Rs.20

c) Rs.75

d) Rs.34

Answer: (b)

The daily earning of ‘C’

= Daily earning of (A + C) and (B + C) - Daily earning of (A + B + C)

= 94 + 76 - 150 = Rs.20

Question : 3 [SSC DEO 2008]

2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs.600 per day, how much should a woman get per day?

a) Rs.400

b) Rs.450

c) Rs.360

d) Rs.480

Answer: (a)

According to the question,

(2 × 14) men + 14 women

= 16 men + 32 women

(28 - 16) men =(32–14) women

12 men = 18 women

2 men = 3 women

1 woman = $2/3$ man

Amount received by 1 woman per day

= $2/3 × 600$ = Rs.400

Question : 4 [SSC CGL Prelim 2003]

A and B undertook to do a piece of work for Rs.4500. A alone could do it in 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. Then C’s share of the money is

a) Rs.2250

b) Rs.1500

c) Rs.375

d) Rs.750

Answer: (d)

Using Rule 25
If A, B and C finish the work in m, n and p days respectively and they receive the total wages R, then the ratio of their wages is $1/m : 1/n : 1/p$

C’s 1 day’s work

= $1/4 - (1/8 + 1/12) = 1/4 - ({3 + 2}/24)$

= $1/4 - 5/24 = {6 - 5}/24 = 1/24$

A : B : C = $1/8 : 1/12 : 1/24$ = 3 : 2 : 1

C’s share = Rs.$(1/6 × 4500)$ = Rs.750

Question : 5 [SSC CGL Prelim 2007]

Two men undertook to do a job for Rs.1400. One of them can do it alone in 7 days, and the other in 8 days. With the assistance of a boy they together completed the work in 3 days. How much money will the boy get ?

a) Rs.300

b) Rs.325

c) Rs.250

d) Rs.275

Answer: (d)

Using Rule 25,

First man’s 1 day’s work = $1/7$

Second man’s 1 day’s work = $1/8$

Let, Boy’s 1 day’s work = $1/x$

$1/7 + 1/8 + 1/x = 1/3$

$1/x = 1/3 - 1/7 - 1/8$

= ${56 - 24 - 21}/168 = 11/168$

Ratio of their one day’s work

= $1/7 : 1/8 : 11/168$ = 24 : 21 : 11

Sum of the ratios

= 24 + 21 + 11= 56

Boy’s share in wages

= $11/56 × 1400$ = Rs.275

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