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Question

Total salary of three persons A,B and C is $R s . 1, 44, 000.$ They spend $80 %, 85 %$ and $75 %$ respectively. If their savings are in the ratio $8 : 9 : 20,$ find C's salary.

48000

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40000

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64000

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32000

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Solution

The correct option is A 48000
Let us assume that their savings are $8 k, 9 k$ and $20 k$ respectively.
A spends 80% of his salary. Thus he saves $(100 - 80 = 20 %)$ of his salary.
So, $20 % = 8 k$
Therefore, A's total salary i.e., $100 % = 40 k$
B spends $85 %$ of his salary. Thus he saves $(100 - 85 = 15 %)$ of his salary. So, $15 % = 9 k$
Therefore, B's total salary i.e., $100 % = 60 k$
C spends $75 %$ of his salary. Thus he saves $(100 - 75 = 25 %)$ of his salary. So, $25 % = 20 k$
Therefore, C's total salary i.e., $100 % = 80 k$
According to the question,
$40 k + 60 k + 80 k = 1, 44, 000$
$k = 800$
Thus, C's salary = $80 k = 80 \times 800 = 64, 000$

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Total salary of three persons A,B and C is Rs.1,44,000. They spend 80%,85% and 75% respectively. If their savings are in the ratio 8:9:20, find C's salary.

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