CAT Exam  >  CAT Tests  >  Test Level 2: Simple & Compound Interest - 2 (August 26) - CAT MCQ

Test Level 2: Simple & Compound Interest - 2 (August 26) - CAT MCQ


Test Description

10 Questions MCQ Test - Test Level 2: Simple & Compound Interest - 2 (August 26)

Test Level 2: Simple & Compound Interest - 2 (August 26) for CAT 2024 is part of CAT preparation. The Test Level 2: Simple & Compound Interest - 2 (August 26) questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Simple & Compound Interest - 2 (August 26) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Simple & Compound Interest - 2 (August 26) below.
Solutions of Test Level 2: Simple & Compound Interest - 2 (August 26) questions in English are available as part of our course for CAT & Test Level 2: Simple & Compound Interest - 2 (August 26) solutions in Hindi for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test Level 2: Simple & Compound Interest - 2 (August 26) | 10 questions in 20 minutes | Mock test for CAT preparation | Free important questions MCQ to study for CAT Exam | Download free PDF with solutions
Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 1

Mr. Magnet got a loan of Rs. 21,000 at 10% simple interest. He repaid that loan in 24 equal monthly installments, each being paid at the end of every month starting from the next year; that means for the first year, he did not pay anything and for the next 2 years he paid the installments and cleared the loan exactly by the end of the third year. What was approximate each installment he paid?

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 1

Let equal installment = Rs. x

21,000 × 1.3 = 26.3x
⇒ x ≈ 1,038

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 2

Find the simple interest on Rs. 2000 at 6% per annum for a period of 1 year and 7 months.

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 2

Time (T) = 1 year 7 months =
Simple Interest = 

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 3

A sum of money at compound interest doubles in 1 year. In how many years will it amount to 8 times of itself?

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 3

A = P

Now, 8P = P
⇒ 8P = P (2)t
Or, 23 = 2t
∴ t = 3
Required time = 3 years

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 4

Sachin borrowed Rs. 28,000 from Yuvraj at 12% simple interest. After 1 year, he paid the interest and Rs. 10,000 extra. After 6 months more, if Sachin wants to clear the debt, then how much money does he have to pay Yuvraj?

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 4

 

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 5

Ritesh deposited Rs. 8000 in State Bank of India. He had to pay 10% of the interest of the first year as his college fees, after which Rs. 900 of the interest amount was left. Find the rate percentage at which the interest was paid.

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 5

Let the rate % be x.

10% of interest paid
⇒ 90% of interest left = Rs. 900
So, complete interest (100%) = Rs. 1000

= 12.5%

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 6

X invested a sum at compound interest payable half-yearly. If the compound interest in November 2003 was Rs. 225 and in May 2004, it was Rs. 236.25, find the annual rate of interest.

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 6

Difference in C.I. of two successive periods = S.I. on C.I. of the earlier period
11.25 is S.I. on Rs. 225 at the same rate for six months.

⇒ r = 5%
Annual rate of interest = 10%

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 7

Divide Rs. 6000 into two parts so that the simple interest on the first part for 2 years at 6% p.a. may be equal to the simple interest on the second part for 3 years at 8% p.a. (in Rs.).

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 7

Let the two parts be P1 and P2.
According to the question,

⇒ P1 : P2 = 2 : 1
∴ P1 = 6000 × 2/3 = 4000 and P2 = 2000

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 8

Amit invested two equal sums of Rs. 5,000 for 2 years at 10% C.I, one at C.I. payable yearly and the other at C.I. payable half yearly. Find the approximate difference in amounts that he will get at the end of 2 years.

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 8

Principal = Rs 5000
Rates = 10% for yearly and 5% for half yearly
Times = 4 periods for compounded half yearly and 2 periods for compounded yearly
Difference = 5,000 = 5,000 (1.215 – 1.210) = Rs. 28

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 9

Dhiraj invests a part of Rs. 8000 at 4% p.a. and the remainder at 5% per year. His annual income from the investments is Rs. 350. What amounts of money (in rupees) has he invested at each rate, respectively?

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 9

Let the amount invested at 4% be x and that at 5% be (8000 - x).

⇒ 4x + 40,000 - 5x = 35,000
Therefore, x = 5,000
Hence, amounts invested by Dhiraj at 4% and 5% are Rs. 5,000 and Rs. 3,000 respectively.

Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 10

A sum was put on simple interest at a certain rate for 4 years. Had it been put at a 5% higher rate, it would have fetched Rs. 200 more. Find the sum.

Detailed Solution for Test Level 2: Simple & Compound Interest - 2 (August 26) - Question 10

Let the sum be P, Rate of interest be r.
So, according to the question:
P × r × 4 + 200 = P × (r + 0.05) × 4
4Pr + 200 = 4Pr + 0.2P
200 = 0.2P
P = Rs. 1000

Information about Test Level 2: Simple & Compound Interest - 2 (August 26) Page
In this test you can find the Exam questions for Test Level 2: Simple & Compound Interest - 2 (August 26) solved & explained in the simplest way possible. Besides giving Questions and answers for Test Level 2: Simple & Compound Interest - 2 (August 26), EduRev gives you an ample number of Online tests for practice

Top Courses for CAT

Download as PDF

Top Courses for CAT