Page 131 - Maths Skills - 8

Comparing Quantities 129

Answer the following questions on the basis of the per annum and time 3 years are ` 5788.13 and
above data. ` 788.13.
1. What is the total amount paid by Mohan after Reason (R): Compound interest is the interest
two years? calculated on the previous year’s amount.
2. What is the interest money that Mohan has to pay? Q. 2. Assertion (A): The formula for calculating the

3. What would be the interest amount if Mohan R n

had borrowed the same amount at a rate of 7% compound interest is given by A = 1 100

per annum?
4. What would be the total amount due if Mohan Reason (R): According to above formula, we
require principal amount, rate and number of
borrowed ` 10,000 at the same 5% per annum time period in years.
simple interest for 3 years?

E. Assertion-Reason Based Questions SUBJECTIVE TYPE QUESTIONS
Directions for Questions 1 to 2: In each of the F. Solve the following word problems
questions given below. There are two statements
marked as Assertion (A) and Reason (R). Mark your 1. A person deposited a sum of ` 10000 in his
answer as per the codes provided below: savings account. After 2 years he withdrew
(a) Both A and R are true and R is the correct accumulated interest ` 4000 and at the end of
6 years, what amount he will get and at what
explanation of A. rate of simple interest?
(b) Both A and R are true but R is not the correct
explanation of A. 2. Find the amount and the compound interest on

(c) A is true but R is false. ` 10000 for 3 years at 12% per annum,
compounded half-early.
(d) A is false but R is true. 3. Sohan took a loan of ` 22000 from a bank at
Q. 1. Assertion (A): The amount and compound 20% per annum compounded half-yearly for
interest for principal amount ` 5,000, rate 5%
4 years. Find the interest paid by him to the bank.

INTEGRATED QUESTION

G. Statistics Vs Maths
In a school, 600 students were surveyed to find out about their favourite sport. The result is shown in the circle
graph. Use the given data to Answer the following questions—
(a) What fraction of children have cricket as their favourite sport?
(b) What is the number of children that like playing Hockey? 4% Golf 10% Hockey
(c) Last year 160 students liked playing cricket the most. Is there an 6% Baseball
12% Football
increase or decrease in number of students liking cricket? Find the 30% Cricket
increase or decrease percent. 14% Basket
(d) Find the number of children whose favourite sport is: Ball

Football Cricket Chess Hockey
24% Chess

HOTS

1
1. A sum of money amounts to ` 8820 in 1 year and to ` 9,261 in 1 when interest is compounded semi-
annually. Find the sum and the rate of interest per annum. 2