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

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: (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)

Son : wife = 3 : 1 = 9 : 3

Wife : daughter = 3 : 1

Son : wife : daughter

= 9 : 3 : 1

Sum of ratios = 9 + 3 + 1 = 13

If total wealth be Rs.x, then

Son’s share - daughter’s share

= Rs.10,000

${9x}/13 - x/13$ = 10,000

${9x - x}/13$ = 10,000

8x = 13,00,00

$x = {13,00,00}/8$ = Rs.16250

Answer: (a)

A : B : C = 2 : 5 : 4

Sum of ratios = 2 + 5 + 4 = 11

Difference

= $(5/11 - 2/11) × 126.50$

= $3/11 × 126.50$ = Rs.34.50

Answer: (b)

Ratio = $1/2 : 1/4 : 5/16$

= 8 : 4 : 5

Sum of ratios = 8 + 4 + 5 = 17

Required answer

= Rs.$({8 - 4}/17) × 68000$

= Rs.$4/17 × 68000$ = Rs.16000

Answer: (c)

A : B : C = $1/2 : 1/3 : 1/4$

= $1/2 × 12 : 1/3 × 12 : 1/4 × 12$

[LCM of 2, 3 and 4 = 12]

= 6 : 4 : 3

A's share = $6/13$ × 2600 = Rs.1200

B's share = $4/13$ × 2600 = Rs.800

C's share = $3/13$ × 2600 = Rs.600