Ratio And Proportion Ques 26
Question-
The respective ratio between the monthly salary of Neil and that of Dipti is $5: 6$. Neil and Dipti, both save $40 \%$ and $25 \%$ out of their respective monthly salaries. Neil invests $\frac{5}{8}$ th of his savings in LIC and Dipti invests $\frac{3}{5}$ th of her savings in LIC. If Neil invests Rs. 1750 more than Dipti in LIC, what is Neil’s monthly salary?
(1) Rs. 20000
(2) Rs. 25000
(3) Rs. 40000
(4) Rs. 15000
(5) Rs. 30000
(IBPS Bank PO/MT CWE (Pre.), 16.10.2016 (First Sitting))
Show Answer
Correct Answer: (2)
Solution: (2)
Neil’s monthly salary $=$ Rs. $5 x$ Dipti’s monthly salary $=$ Rs. $6 x$
Neil’s savings $=\frac{5 x \times 40}{100}$ $=$ Rs. $2 x$
Dipti’s savings $=\frac{6 x \times 25}{100}=$ Rs. $\frac{3 x}{2}$
According to the question,
Neil’s investment - Dipti’s investment $=1750$
$\Rightarrow 2 x \times \frac{5}{8}-\frac{3 x}{2} \times \frac{3}{5}=1750$
$\Rightarrow \frac{5 x}{4}-\frac{9 x}{10}=1750$
$\Rightarrow \frac{25 x-18 x}{20}=1750$
$\Rightarrow 7 x=1750 \times 20$
$\Rightarrow x=\frac{1750 \times 20}{7}=5000$
$\therefore$ Neil’s monthly salary $=$ Rs. $5 x=$ Rs. 25000
BETA
