CBSE Class 10 Maths (Basic) 2025 · Paper 430/4/1 · Question 36

Pair of Linear Equations in Two Variables 4 marks Medium

A telecommunication company came up with two plans– plan A and plan B for its customers. The plans are represented by linear equations where ‘

t

’ represents the time (in minutes) bought and ‘

C

’ represents the cost. The equations are : Plan A :

3 C = 20 t

Plan B :

3 C = 10 t + 300

Based on above information, answer the following questions :

(i)If you purchase plan B, how much initial amount you have to pay ?[1]
(ii)Charu purchased plan A. How many minutes she bought for ₹ 250 ?[1]
(iii)(a)At how many minutes, do both the plans charge the same amount? What is that amount?[2]
(iii)(b)OR : Which plan is better if you want to buy 60 minutes? Give reason for your answer.[2]

Answer

(i) ₹100 has to be paid initially (at

t = 0

C = 100

); (ii) Charu bought

37.5

minutes; (iii)(a) Both plans charge the same amount at

30

minutes, and that amount is ₹200; OR (iii)(b) For

60

minutes plan A costs ₹400 and plan B costs ₹300, so plan B is better as it saves ₹100.

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