Register

CAT 2022 Set-3 | Quantitative Aptitude | Question: 10

• edited by
585 views
2 votes
2 votes

Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in bank $\mathrm{B}$ and the remaining amount at $x \%$ in bank $\mathrm{C}$, each rate being simple interest per annum. Her combined annual interest income from these investments is equal to $5 \%$ of the initial capital. If she had invested her entire initial capital in bank $\mathrm{C}$ alone, then her annual interest income, in rupees, would have been

  1. $900$
  2. $800$
  3. $1000$
  4. $700$
• edited by
User Avatar

1 Answer

0 votes
0 votes

Total Capital is 20000. Invested 8000 @5.5% per annum in bank A, 5000 @5.6% per annum in bank B, and remaining i.e., 7000(20k-8k-5k) @x% per annum in bank C.

And the combined annual interest income from these investments is equal to 5% of the initial capital (20k).

So, the equation is (8000 * 5.5 * 1)/100 + (5000 * 5.6 * 1)/100 + (7000 * x * 1)/100 = (20000 * 5 * 1)/100 

=>  440 + 280 + 70x = 1000  => x = 4

If she had invested her entire initial capital in bank C alone, then her annual interest income, in rupees, would have been (20000 x 4 x 1)/100 = 800. Ans is B.

User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

1 votes
1 votes
1 answer
1
admin asked Mar 3, 2023
1,713 views
CAT 2022 Set-3 | Quantitative Aptitude | Question: 1
A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a total sum of ₹$15250$. Then, the maximum possible number of cheques of ₹$500$ that the donation box may have contained, is
A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a t...
1 votes
1 votes
1 answer
2
admin asked Mar 3, 2023
1,648 views
CAT 2022 Set-3 | Quantitative Aptitude | Question: 2
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value $-60$ $-50$ $60$ $-70$
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value$-60$ $-50$ $60$ $-70$
2 votes
2 votes
1 answer
3
admin asked Mar 3, 2023
396 views
CAT 2022 Set-3 | Quantitative Aptitude | Question: 3
If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are integers, then the value of $\left(\frac{b}{m}+\frac{c-2 b}{n}\right)$ is $0$ $3$ $4$ $1$
If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are inte...
1 votes
1 votes
0 answers
4
admin asked Mar 3, 2023
313 views
CAT 2022 Set-3 | Quantitative Aptitude | Question: 4
Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{sq. cm}$., then, the area of the triangle $\mathrm{EOD}$, in $\mathrm{sq. cm}$., is
Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{s...
Link Copied!