A mobile company offers two plans. The plan A costs Rs.300 and offers 1100 free minutes per month with a charge of 15 paise per minute for every additional minute. Plan B costs Rs. 400 and offers 1300 free minutes per month with a charge of 10 paise per minute for every additional minute. Let x and y represent the total cost per month for the plan A and the plan B respectively, where t represents the number of minutes used. If Sneha uses 2500 minutes per month, then what will be the value of x-y?
x = 300 + 0.15 (2500 - 1100)
= 300 + 0.15 x 1400
= 300 + 210
= 510
y = 400+ 0.10 (2500 - 1300)
= 400 + 0.10 x 1200
= 400 + 120
= 520
∴ x - y = 510 - 520 = -10
To find the total cost per month for each plan, we can use the given information:
For plan A:
- Monthly cost: Rs. 300
- Free minutes: 1100
- Additional charge: Rs. 0.15 per minute
For plan B:
- Monthly cost: Rs. 400
- Free minutes: 1300
- Additional charge: Rs. 0.10 per minute
Since Sneha uses 2500 minutes per month, we can calculate the total cost for each plan by considering the free minutes and the additional charge.
For plan A:
- Free minutes: 1100
- Additional minutes: 2500 - 1100 = 1400
- Cost for additional minutes: 1400 * Rs. 0.15 = Rs. 210
Total cost for plan A = Monthly cost + Cost for additional minutes = Rs. 300 + Rs. 210 = Rs. 510
For plan B:
- Free minutes: 1300
- Additional minutes: 2500 - 1300 = 1200
- Cost for additional minutes: 1200 * Rs. 0.10 = Rs. 120
Total cost for plan B = Monthly cost + Cost for additional minutes = Rs. 400 + Rs. 120 = Rs. 520
Now, we can calculate the value of x - y, which represents the difference in the total cost per month between plan A and plan B.
x - y = Total cost for plan A - Total cost for plan B
= Rs. 510 - Rs. 520
= -Rs. 10
Therefore, the value of x - y is -Rs. 10.
To find the difference in cost between Plan A and Plan B, we first need to calculate the total cost for each plan.
For Plan A:
The cost of the plan is Rs. 300, and it offers 1100 free minutes per month. For any additional minute used beyond the free minutes, there is a charge of 15 paise per minute (0.15 Rs/min).
So, for 2500 minutes used, the cost for additional minutes will be (2500 - 1100) * 0.15 Rs.
Therefore, the total cost for Plan A per month (x) will be:
x = 300 + [(2500 - 1100) * 0.15] Rs.
For Plan B:
The cost of the plan is Rs. 400, and it offers 1300 free minutes per month. For any additional minute used beyond the free minutes, there is a charge of 10 paise per minute (0.10 Rs/min).
So, for 2500 minutes used, the cost for additional minutes will be (2500 - 1300) * 0.10 Rs.
Therefore, the total cost for Plan B per month (y) will be:
y = 400 + [(2500 - 1300) * 0.10] Rs.
Now, to find the difference x - y, substitute the values of x and y into the equation and solve for the difference.
x - y = [300 + (2500 - 1100) * 0.15] - [400 + (2500 - 1300) * 0.10] Rs.
Simplify the equation to find the result.
The costs are (assuming 1 Rs) = 100 paise)
A: 300+0.15(t-1100)
B: 400+0.10(t-1300)
So now plug in t=2500 and calculate x-y