Page 101 - Maths Skills - 7

Comparing Quantities 99

4. A machine is purchased for ` 64500 and sold for Answer the following questions on the basis of the
` 70000. The gain per cent is: above data.
(i) 7% (ii) 10% 1. Find the percentage increase in the number of

(iii) 8.53% (iv) 9% listeners from 1995 to 1996.
(i) 10% (ii) 12%
5. A man spends ` 1800 per month and saves 25% (iii) 8% (iv) 14%
of his income. His monthly income is:
2. Calculate the number who voted in 1995.
(i) ` 2000 (ii) ` 2220.50 (i) 63000 (ii) 62000

(iii) ` 2360 (iv) ` 2400 (iii) 65000 (iv) 61000

B. Fill in the Blanks 3. The percentage of listeners who voted in 1997.
1. ________________ is 50% more than ` 60. (i) 17% (ii) 20%
1 (iii) 19% (iv) 18%
2. 12 % of 25 g is ________________.
2 4. Calculate the number who voted in 1996.
3. The interest on ` 3500 for 3 years at the rate of (i) 62000 (ii) 63000
15% is ________________. (iii) 65000 (iv) 61000
4. Express 9 in the form of a per cent E. Assertion-Reason Based Questions
20
________________.
Directions for Questions 1 to 3: In each of the
5. The price for which an article is sold is called the questions given below, there are two statements
________________. marked as Assertion (A) and Reason (R). Mark your
answer as per the codes provided below:
C. Write ‘T’ for true and ‘F’ for false statements
(a) Both A and R are true and R is the correct
1. Loss = Cost Price – Selling Price explanation of A.

2. Amount = Principal – Interest (b) Both A and R are true but R is not the correct
explanation of A.
3. The additional money paid by the borrower to (c) A is true but R is false.
the lender after a period of time is called interest. (d) A is false but R is true.
Q. 1. Assertion (A): The simple interest on ` 5000 for

4. 25% of 50 is 12.5. 2 years at 6% per annum is ` 60.

5. 28% is equivalent to 7 . Reason (R): Formula of simple interest
25 P × R × T
=
100
D. Case Study Based Questions Q. 2. Assertion (A): Profit of 20% means if the cost
The number of listeners to a radio station in 1995 price of any item is ` 100, then the profit is ` 120.
was 350000. In 1996, there were 392000 listeners. Reason (R): If S.P. is greater than C.P., there is
Each year, the radio station invites its listeners to vote profit.
for their favourite pieces of music. In 1995, 18% of Q. 3. Assertion (A): The ratio 1:25 as a percentage
listeners voted. In 1997, the number of listeners was is 4%.
460000 and 91000 of these voted. The number who
voted in 1997 was 40% more than in 1996. Reason (R): To covert a ratio into a percentage,
we multiply by 100%.