Question: Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives $ \frac{3}{5}th $ to her mother, 15% towards her sister’s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2100. What is the monthly salary of Som?
Options:
A) Rs. 25000
B) Rs. 30000
C) Rs. 15000
D) Rs. 20000
E) Rs. 24000
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Answer:
Correct Answer: E
Solution:
- Let the monthly salaries of Pia and Som are 5x and 4x,
Money given by Pia to her mother $ =5x\times \frac{3}{5}=3x $
Money given by Pia as sister’s tuition fees
= 15% of $ 5x=0.75x $
Money given by Pia towards loan
= 18% of $ 5x=0.90x $
Total money spent $ =3x+0.75x+0.90x $
$ =3x+1.65x=4.65x $
Remaining money left with her
$ =5x-4.65x=0.35x $
Given, $ 0.35x=2100 $
$ \Rightarrow $ $ x=\frac{2100}{0.35} $
$ \Rightarrow $ $ x=Rs.,6000 $
$ \therefore $ Monthly salary of Som
$ =4x=4\times 6000=Rs.,24000 $