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A. B, and C divide an amount of Rs. 4,200 amongst themselves in the ratio of 7 : 8 : 6 respectively. If an amount of Rs. 200 is added to ea…

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A. B, and C divide an amount of Rs. 4,200 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 the new respective ratio of their shares of amount?
  • A8 : 9 : 6
  • B7 : 9 : 5
  • C7 : 8 : 6
  • D8 : 9 : 7
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Discussion 2

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0
CCommunity
Solution
Ratio of amounts received by A, B and C = 7 : 8 : 6
Sum of ratios = 7 + 8 + 6 = 21
=> Sum received by :
A = $\frac{7}{21} \times 4200$ = Rs. 1400
B = $\frac{8}{21} \times 4200$ = Rs. 1600
C = $\frac{6}{21} \times 4200$ = Rs. 1200
On adding Rs. 200 to the share of each one, the required ratio
= 1600 : 1800 : 1400
= 8 : 9 : 7
0
CCommunity
Solution
Ratio of amounts received by A, B and C = 7 : 8 : 6
Sum of ratios = 7 + 8 + 6 = 21
=> Sum received by :
A = $\frac{7}{21} \times 4200$ = Rs. 1400
B = $\frac{8}{21} \times 4200$ = Rs. 1600
C = $\frac{6}{21} \times 4200$ = Rs. 1200
On adding Rs. 200 to the share of each one, the required ratio
= 1600 : 1800 : 1400
= 8 : 9 : 7