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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 : $3C = 20t$
Plan B : $3C = 10t + 300$
Based on above information, answer the following questions :
(i) If you purchase plan B, how much initial amount you have to pay?
(ii) Charu purchased plan A. How many minutes she bought for ₹ 250 ?
(iii) (a) At how many minutes, do both the plans charge the same amount? What is that amount?
OR
(iii) (b) Which plan is better if you want to buy 60 minutes? Give reason for your answer.
Plan A : $3C = 20t$
Plan B : $3C = 10t + 300$
Based on above information, answer the following questions :
(i) If you purchase plan B, how much initial amount you have to pay?
(ii) Charu purchased plan A. How many minutes she bought for ₹ 250 ?
(iii) (a) At how many minutes, do both the plans charge the same amount? What is that amount?
OR
(iii) (b) Which plan is better if you want to buy 60 minutes? Give reason for your answer.
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(i) At $t = 0, 3C = 300 \Rightarrow C = 100$. ₹ 100 have to be paid initially. [$1$ mark]
(ii) $3 \times 250 = 20t \Rightarrow t = 37.5\text{ minutes}$ [$1$ mark]
(iii) (a) $20t = 10t + 300 \Rightarrow t = 30$. Both plans charge same amount if a person buys 30 minutes. [$1$ mark]
Amount $= \frac{20 \times 30}{3} = \text{Rs} 200$ [$1$ mark]
OR
(iii) (b) At $t = 60$, cost under plan A $= \text{Rs} 400$ [$\frac{1}{2}$ mark]
At $t = 60$, cost under plan B $= \text{Rs} 300$ [$\frac{1}{2}$ mark]
Plan B is better as ₹ 100$ are saved. [$1$ mark]
(ii) $3 \times 250 = 20t \Rightarrow t = 37.5\text{ minutes}$ [$1$ mark]
(iii) (a) $20t = 10t + 300 \Rightarrow t = 30$. Both plans charge same amount if a person buys 30 minutes. [$1$ mark]
Amount $= \frac{20 \times 30}{3} = \text{Rs} 200$ [$1$ mark]
OR
(iii) (b) At $t = 60$, cost under plan A $= \text{Rs} 400$ [$\frac{1}{2}$ mark]
At $t = 60$, cost under plan B $= \text{Rs} 300$ [$\frac{1}{2}$ mark]
Plan B is better as ₹ 100$ are saved. [$1$ mark]