Pinku, Rinku and Tinku divide an amount of Rs.4200 amongst themselves in the ratio of 7 : 8 : 6 respectively. If an amount of Rs.200 is added to each of their shares, what will be their new respective ratio of their shares of amount?

A) 8 : 9 : 5
B) 7 : 9 : 5

C) 7 : 8 : 6
D) 8 : 9 : 7

Correct answer:
D) 8 : 9 : 7

Description for Correct answer:
Let Pinku's share = 7x
Rinku's share = 8x
Tinku's share = 6x

According to the question,

7x + 8x + 6x = 4200

21x = 4200

X = 4200 / 21 = 200

Hence amount of Pinku = 7x
= 7 X 200 = Rs.1400

Amount of Rinku = 8x
= 8 X 200 = Rs.1600

Amout of Tinku = 6x
= 6 X 200 = Rs.1200

Now Rs.200 is added to each share
Then,
New ratio of shares = (1400 + 200 ) : (1600 + 200) : (1200 : 200)

= 1600 : 1800 : 1400
= 16 : 18 : 14 = 8 : 9 : 7

Please provide the error details in above question

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