Question

Q. Pinku, Rinku, Tinku divide an amount of Rs 4200 amongst themselves in the ratio of 7:8:6 resp. If an amount of Rs 200 is added to each of their shares, What will be the new respective ratio of their share of amount ?; Option; a) 8:9:6; b) 7:9:5; c) 7:8:6; d) 8:9:7

Answer 1

$\boxed{Answer\:= 8:9:7}$

$\boxed{Option \: D}$

$\bold{Given ,}$

$\bold{Pinku,Rinku,Tinku\: divide\:an\:amount\:of\:4200\: among\:them.}$

$\bold{The\:ratio\:of\:the\: amount\:they\:shared=7:8:6} [tex]\bold{Let\:the\:amount\: shared\:be\:7x,8x,6x}$

$\bold{[As\:mentioned\: above\:they\:shared\:4200]}$

$\bold{7x+8x+6x=4200}$

$\bold{21x = 4200}$

$\bold{x = 4200/21}$

$\bold{x = 200}$

$\underline{Value\:of\:x = 200}$

$\bold{Value\:of the\:amount\:they\:shared =>}$

$\bold{7x=7(200)=1400}$

$\bold{8x=8(200)=1600}$

$\bold{6x=6(200)=1200}$

$\bold{value\:of\:the\: amount\:after\:adding\:200\:to their\:shares =>}$

$\bold{1400+200=1600}$

$\bold{1600+200=1800}$

$\bold{1200+200=1400}$

$\bold{Ratios\:of\:the amount\:shared\:after\:adding\: 200}$

$\bold{1600:1800:1400}$

$\bold{[Cancel\:the\:zeros\: and\:cancel\:it\:by\:2]}$

$\bold{8:9:7}$

$\underline{Therefore\:the\:answer\:is\: option\:D}$

Answer 2

Answer:

answer is D

Step-by-step explanation:

8:9:7