Question
The cost price of two books is Rs. 180. The first book is Rs. 10 cheaper than the second. What is the cost price of first book?
Answers
GPT-4o mini
Let the cost price of the second book be \( x \) rupees. Then, the cost price of the first book will be \( x - 10 \) rupees.
According to the given information, the total cost price of the two books is Rs. 180. Therefore, we can set up the following equation:
\[
x + (x - 10) = 180
\]
Simplifying the equation:
\[
2x - 10 = 180
\]
Adding 10 to both sides:
\[
2x = 190
\]
Dividing by 2:
\[
x = 95
\]
Now that we have the cost price of the second book, we can find the cost price of the first book:
\[
\text{Cost price of first book} = x - 10 = 95 - 10 = 85
\]
Thus, the cost price of the first book is Rs. 85.
According to the given information, the total cost price of the two books is Rs. 180. Therefore, we can set up the following equation:
\[
x + (x - 10) = 180
\]
Simplifying the equation:
\[
2x - 10 = 180
\]
Adding 10 to both sides:
\[
2x = 190
\]
Dividing by 2:
\[
x = 95
\]
Now that we have the cost price of the second book, we can find the cost price of the first book:
\[
\text{Cost price of first book} = x - 10 = 95 - 10 = 85
\]
Thus, the cost price of the first book is Rs. 85.