Question

10 men, 6 women and 9 boys were given a project of
doing 2000 designs of a building in 5 days. All of
them designed on the first day. On the second day 2
women and 3 boys are absent. On the third day. 3
men and and 5 boys are absent. If the ratio of the
number ofdesigns done by them is in the ratio 3:2:1
respectively. Then find the number of designs
designed by them on the second day (approx.)?
(a) 620 (b) 600 (0) 667 (d) 650 (0) 682
​

Answer 1

Answer:

nno. of designs desi620

Answer 2

667 designs were made on second day

Solution:

Given that,

The ratio of the  number of designs done by them is in the ratio 3 : 2 : 1  respectively

Let the number of designs done by men be 3x

Let the number of designs done by women be 2x

Let the number of designs done by boys be 1x

10 men, 6 women and 9 boys were given a project

All of  them designed on the first day

Designs of building on the first day is given as:

$\rightarrow 10 \times 3x + 6 \times 2x + 9 \times 1x = 30x + 12x + 9x = 51x$

On the second day 2  women and 3 boys are absent

Therefore, women = 6 - 2 = 4

boys = 9 - 3 = 6

Designs of building on the second day is given as:

$\rightarrow 10 \times 3x + 4 \times 2x + 6 \times 1x = 30x + 8x + 6x = 44x$

On the third day, 3  men and and 5 boys are absent

Men = 10 - 3 = 7

boys = 9 - 5 = 4

Designs of building on the third day is given as:

$\rightarrow 7 \times 3x + 6 \times 2x + 4 \times 1x = 37x$

A project of  doing 2000 designs of a building in 5 days

Therefore,

first day designs + second day designs + third day desgins = 2000

51x + 44x + 37x = 2000

132x = 2000

x = 15.15

Find the number of designs  designed by them on the second day

Designs on 2nd day = 44x = 44(15.15) = 666.6

Which is approximately 667

Thus 667 designs were made on second day