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A telephone service provider charges a price of P for a new connection, and allows 30 free calls within that. On every extra call beyond the 30th one, the charge is Rs 5. Raja has 2 connections, on one of which he makes calls, and on the other, R calls, (where both and R are greater than or equal to 30) resulting in 2 bills of Rs 500 and Rs 400 respectively. Had he made all the calls on a single connection instead, his bill would have come to just Rs 800. What is the value of P?
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A telephone service provider charges a price of P for a new connection...
- **Given Information**
Given that the telephone service provider charges a price of P for a new connection and allows 30 free calls within that. On every extra call beyond the 30th one, the charge is Rs 5. Raja has 2 connections, one resulting in a bill of Rs 500 and the other resulting in a bill of Rs 400. Had he made all the calls on a single connection instead, his bill would have come to just Rs 800.
- **Calculating the number of extra calls**
Let the number of extra calls made on the first connection be x and on the second connection be R - x.
- **Calculating the total cost for each connection**
For the first connection: P + 5(x)
For the second connection: P + 5(R - x)
- **Given Bills**
According to the given information:
P + 5(x) = 500
P + 5(R - x) = 400
If all calls were made on a single connection:
P + 5(R) = 800
- **Solving the equations**
Solving the above equations will give:
P = 200
R = 100
x = 40
- **Conclusion**
Therefore, the value of P, which is the price for a new connection, is 200. This means that Raja pays Rs 200 for a new connection and Rs 5 for every extra call beyond the 30 free calls for each connection.
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A telephone service provider charges a price of P for a new connection, and allows 30 free calls within that. On every extra call beyond the 30th one, the charge is Rs 5. Raja has 2 connections, on one of which he makes calls, and on the other, R calls, (where both and R are greater than or equal to 30) resulting in 2 bills of Rs 500 and Rs 400 respectively. Had he made all the calls on a single connection instead, his bill would have come to just Rs 800. What is the value of P?
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A telephone service provider charges a price of P for a new connection, and allows 30 free calls within that. On every extra call beyond the 30th one, the charge is Rs 5. Raja has 2 connections, on one of which he makes calls, and on the other, R calls, (where both and R are greater than or equal to 30) resulting in 2 bills of Rs 500 and Rs 400 respectively. Had he made all the calls on a single connection instead, his bill would have come to just Rs 800. What is the value of P? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A telephone service provider charges a price of P for a new connection, and allows 30 free calls within that. On every extra call beyond the 30th one, the charge is Rs 5. Raja has 2 connections, on one of which he makes calls, and on the other, R calls, (where both and R are greater than or equal to 30) resulting in 2 bills of Rs 500 and Rs 400 respectively. Had he made all the calls on a single connection instead, his bill would have come to just Rs 800. What is the value of P? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A telephone service provider charges a price of P for a new connection, and allows 30 free calls within that. On every extra call beyond the 30th one, the charge is Rs 5. Raja has 2 connections, on one of which he makes calls, and on the other, R calls, (where both and R are greater than or equal to 30) resulting in 2 bills of Rs 500 and Rs 400 respectively. Had he made all the calls on a single connection instead, his bill would have come to just Rs 800. What is the value of P?.
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