| 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? |
A) Rs. 25000
B) Rs. 30000
C) Rs. 15000
D) Rs. 20000
E) Rs. 24000
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 |
| \[=4x=4\times 6000=Rs.\,24000\] |
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