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

Answer: (c)

A : B = 2 : 3 = 8 : 12

B : C = 4 : 5 = 12 : 15

A : B : C = 8 : 12 : 15

Sum of ratios = 35

A’s share = $8/35 × 700$ = Rs.160

B’s share = $12/35 × 700$ = Rs.240

C’s share = $15/35 × 700$ = Rs.300

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: (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: (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.