Model 2 Formula method ‘M1D1W1 = M2D2W2’ Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (c)

Man : boy = 3 : 1

Boy's share = $1/4 × 800$ = Rs.200

The daily wages of boy

= Rs.$(200/5)$ = Rs.40

A:B = 3x:x and A:B = t:3t

Share of boy

= $t/{t + 3t} × 800$ = 200

Daily wages of boy = $200/5$ = Rs.40

Answer: (a)

Let daily wages of a man be Rs.x.

Daily wages of a woman

= Rs.$(x - 1/2)$

According to the question,

600x + 400$(x - 1/2)$

= 1000 × 2.55

600x + 400x - 200 = 2550

1000x = 2550 + 200 = 2750

$x = 2750/1000$ = Rs.2.75

Daily wages of a woman

= Rs.(2.75 - 0.5) = Rs.2.25

Answer: (b)

It is required to find the highest common factor of 5750 and 5000,

because his daily wage is their common factor.

$5750/5000 = 1{750}/5000$

Hence, the daily wage is Rs.250.

Answer: (d)

More persons, more earning, Less working hours, less earning = Direct proportion

∴ ${6 : 9}/{8 : 6}]$ : : 8400 : x

where x = required earning

Therefore, 6 × 8 × x = 9 × 6 × 8400

or $x ={9 × 6 × 8400}/{6 × 8}$ = Rs.9450

Here, $M_1 = 6, T_1$ = 8, wages = x

$M_2 = 9, T_2$ = 6, wages = 8400

6 × 8 × x = 9 × 6 × 8400

$x = {9 × 6 × 8400}/{6 × 8}$ = Rs.9450

Answer: (c)

Rule 2 and Rule 25,

Work done by A and B in 5 days

= $5(1/12 + 1/15) = 5({5 + 4}/60)$

= $9/12 = 3/4$

Time taken by C in doing $1/4$ work = 5 days

C will complete in 20 days.

Ratio of wages = $1/12 : 1/15 : 1/20$ = 5 : 4 : 3

Amount received by A

=$5/12 × 960$ = Rs.400

Answer: (d)

Using Rule 25,

Work done by the third person in 1 day

= $1/8 - 1/16 - 1/24 = {6 - 3 - 2}/48 = 1/48$

Ratio of their 1 day’s work

= $1/16 : 1/24 : 1/48$ = 3 : 2 : 1

Share of the third person

= $1/(3 + 2 + 1) × 960 = 960/6$ = Rs.160