Page 155 - Maths Skills - 8

Assessment - 3 153

Case Study Based Questions
It is common that government revise fares from time to time based on various factors such as taxes, economy
an inflation for various vehicles like bus, cab, e-rickshaw etc. Bus and cab charge in a city comprise of fixed
charge and the charge for the distance covered.
17. If the fixed charge in a city is ` x and charge per km is ` 15 and total fare is ` 600 then find the linear
equation for the journey of 10 km.
18. If the a city fixed charge is double of charge per km and a person paid ` 744 for a journey of 10 km
then find the linear equation for the following situation.

19. According to the given equation 4x + 17 = 85, it 17 is the fixed charge and the total fare is ` 85 for
a journey of 2 km then what is the charge per kilometer?

Assertion-Reason Based Questions
Directions for Questions 20 to 21: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:

(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
20. Assertion (A) : A 20 % GST was applied to a product which increase its price from ` 500 to ` 600.

Reason (R) : The tax amount was ` 150.
21. Assertion (A) : The cost of buying movie tickets is directly proportion to the number of people
watching the movie.
Reason (R) : It is an example of direct variation because they increase together is same ratio.

SUBJECTIVE BASED QUESTIONS
22. At what per cent will a sum of ` 3125 amount to ` 3645 in 2 years, if the interest is compounded
annually?

23. Nidhi deposited ` 7500 in a bank which pays her interest at the rate of 4% per annum, compounded
annually find the amount and interest received by her after 3 years.

24. Madhu bought a house for ` 1,31,25,000. If its value depreciates at the rate of 10% p.a. What will
be its sale price after 3 years?
25. The sum of the digits of a 2 digit number is 10. The number obtained by interchanging the digits
exceeds the original number by 36. Find the original number.

26. P, Q and R together can build a house in 8 days. P and Q can build the house separately in 20 days
and 24 days respectively. In how many days can R build the house alone?
27. A train 450 m long passes another train coming from opposite direction on parallel track in
30 seconds. If their speeds are 43 km/h and 47 km/h respectively. Find the length of another train.
28. Find out a single discount equivalent to two successive discounts of 16% and 8%.

29. The angles of a quadrilateral are in the ratio 1:2:3:4. Find all the angles of quadrilateral.