type 5 shares & partnership based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (b)

Let the amount to be distributed be Rs.x.

P : Q : R = 2 : 7 : 9

Sum of the ratios = 2+7 + 9 = 18

P = $2/18 × x = x/9$

Q = $7/18$ x

R = ${9x}/18 = x/2$

As given,

$x/9 + {7x}/18 = x/2$

Thus, we get no conclusion.

Amount should necessarily be known.

Answer: (c)

A = B × $2/9 = {2B}/9$

$C= {3A}/4 ; A = 4/3C$

Ratio of A : B : C = 4 : 18 : 3

Share of A = $4/25 × 1250$ = Rs.200

Share of B = $18/25 × 1250$ = Rs.900

Share of C = $3/25 × 1250$ = Rs.150

Answer: (a)

Suppose amount received by men = 5x.

and amount received by women = 4x

According to question

5x + 4x = 180

9x = 180 ⇒ x = 20

Amount received by men = Rs.100

Amount received by women= Rs.80

Suppose the number of men be y and that of women be (66 - y).

According to question

${100/y}/{80/{66 - y}} = 3/2$

$100/y × {66 - y}/80 = 3/2$

${5(66 - y)}/{4y} = 3/2$

660 - 10y = 12y

22y = 660 ⇒ y = 30

Answer: (b)

Original ratio of A, B and C

= $1/2 : 1/3 : 1/4$ = 6 : 4 : 3

Share of A

= $6/13 × 117$ = Rs.54

Share of B

= $4/13 × 117$ = Rs.36

and share of C

= $3/13 × 117$ = Rs.27

The ratio of A, B and C by mistake = 2 : 3 : 4

Share of A = $2/9 × 117$ = Rs.26

Share of B = $3/9 × 117$ = Rs.39

Share of C = $4/9 × 117$ = Rs.52

Therefore, it is clear from above calculation that C gains maximum i.e. Rs.25.

Answer: (d)

A : B : C : D = 2 × 4 × 2 : 3 × 4 × 2 : 3 × 3 × 2 : 3 × 3 × 3

or, A : B : C : D = 16 : 24 : 18 : 27

Sum of the ratios

= 16 + 24 + 18 + 27 = 85

B’s share

= Rs.$24/85 × 3400$ = Rs.960

D’s share

= Rs.$27/85 × 3400$ = Rs.1080

The required sum

= Rs.(1080 + 960) = Rs.2040

Answer: (c)

B’s share = Rs.b

A’s share = Rs.(b + 7)

C’s Share = Rs.(b - 6)

b + b + 7 + b - 6 = 76

3b = 76 - 1 = 75

b = Rs.25

A’s share = 25 + 7 = Rs.32

C’s share = 25 - 6 = Rs.19

Required ratio = 32 : 25 : 19