Question 9.

Nitu has an initial capital of ₹20,000 . Out of this, she invests ₹8,000 at 5.5% in bank A,₹5,000 at 5.6% in bank B and the remaining amount at x% in bank 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 C alone, then her annual interest income, in rupees, would have been

A
900
B
700
C
1000
D
800

Question Explanation

Text Explanation

It is given,

5.5×1×8000100+5.6×1×5000100+x×1×7000100=5100×20000\frac{5.5 \times 1 \times 8000}{100} + \frac{5.6 \times 1 \times 5000}{100} + \frac{x \times 1 \times 7000}{100} = \frac{5}{100} \times 20000

440+280+70x=1000440 + 280 + 70x = 1000

x = 4%

Interest = 20000×4×1100\frac{20000 \times 4 \times 1}{100} = Rs 800

Video Explanation
XAT 2026 Full Course - Enroll Now for Best XAT Preparation
CAT LRDI 100 Recorded Course - Master Logical Reasoning and Data Interpretation
HOME
XAT Sankalp Sale
Quant Revision Book
More
YoutubeWhatsapp