Question
Rohan deposited Rs. ‘Y’ in a bank offering compound
interest of 10% p.a. compounded annually. After 3 years, he invested the amount received from the bank in scheme ‘C’ and ‘D’ in the ratio of 7:3 respectively. Scheme ‘D’ offers compound interest of 18% p.a. compounded annually while scheme ‘C’ offers simple interest of 12% p.a. If total interest received by him from schemes C and D together at the end of 2 years is Rs. 1584, then find the value of ‘Y’.(Calculate approximate value)Solution
ATQ, Amount after 3 years at 10% CI = Y × (1.1)3 = Y × 1.331 Split into Scheme C and D (7:3): Scheme C = 1.331Y × 7/10 = 0.9317Y Scheme D = 1.331Y × 3/10 = 0.3993Y Interest from Scheme C (SI @12% for 2 yrs) = 0.9317Y × 12 × 2 / 100 = 0.2236Y Interest from Scheme D (CI @18% for 2 yrs) = 0.3993Y × [(1.18)^2 – 1] = 0.3993Y × 0.3924 = 0.1566Y Total Interest = 1584 0.2236Y + 0.1566Y = 1584 0.3802Y = 1584 Y = 1584 / 0.3802 = ₹4165.87 or approx ₹4165
In which programming language are pointers explicitly supported and used for memory manipulation?
Which of the following is a key difference between TCP and UDP in the transport layer of the TCP/IP model?
Which of the following best defines the role of a data analyst within an organization?
In the context of time series analysis, the Dickey-Fuller test is used to:
Which method is used to handle missing values by replacing them with the mean?
Which of the following techniques is most suitable for handling and organizing an unstructured dataset with textual data?
When performing time series decomposition , which method separates data into additive components?
In hypothesis testing, which of the following best describes the p-value?
Which type of data visualization is most useful for identifying the relationship between two continuous variables?
What is the primary difference between Type 1 and Type 2 hypervisors?
Relevant for Exams:
