Ratio And Proportion Ques 36
Question-
Every month, Sunaina invests $30 \%$ of her monthly income in a gold scheme, and pays $15 \%$ as house rent. Out of the remaining monthly income, she spends on groceries and paying bills in the ratio of $5: 6$ respectively. If the amount spent on groceries in a year is Rs. 96,000 , what is the amount that she invests in gold scheme every month?
(1) Rs. 7500
(2) Rs. 8400
(3) Rs. 7200
(4) Rs. 10800
(5) Rs. 9600
(IBPS SO (IT Officer) CWE (Prelim Exam) 30.12.2017)
Show Answer
Correct Answer: (5)
Solution: (5)
Monthly expense on grocery $=\frac{96000}{12}=$ Rs. 8000
Grocery $:$ bills $=5: 6$
$\therefore$ Expense on bills payment $=$ Rs. $\left(\frac{6}{5} \times 8000\right)$ $=$ Rs. 9600
If the monthly income of Sunaina be Rs. $x$, then
Expense on grocery and bills payment $=$ Rs. $\frac{55}{100} x$
$\therefore \frac{55 x}{100}=9600+8000$
$\Rightarrow \frac{11 x}{20}=17600$
$\Rightarrow x=\frac{17600 \times 20}{11}=$ Rs. 32000
$\therefore$ Monthly investment in gold scheme $=$ Rs. $\left(\frac{32000 \times 30}{100}\right)= Rs. 9600$
BETA
