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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?
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?
1). 8 : 9 : 6
2). 7 : 9 : 5
3). 7 : 8 : 6
4). 8 : 9 : 7
1). 8 : 9 : 6
2). 7 : 9 : 5
3). 7 : 8 : 6
4). 8 : 9 : 7
This Question has 2 answers.
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
$= 1600 : 1800 : 1400$
$= 8 : 9 : 7$
= 8 : 9 : 7
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