A shopkeeper in Lucknow bought books for Rs 80 in all. If each book had cost Rs 1 less, he would have got 4 more books for the same Rs 80. Let each book cost Rs x. Form a quadratic and solve by factorisation. What is the cost per book (in Rs)?

Question

Accepted Answer

Rs 5. Books bought = 80/x; cheaper case 80/x-1 = 80/x + 4. This gives x^2 - x - 20 = 0 = (x - 5)(x + 4). x = 5. Cost per book = Rs 5.

A shopkeeper in Lucknow bought books for Rs 80 in all. If each book had cost Rs 1 less, he would have got 4 more books for the same Rs 80.
Let each book cost Rs $x$ . Form a quadratic and solve by factorisation. What is the cost per book (in Rs)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Solving by Factorisation practice

A shopkeeper in Lucknow bought books for Rs 80 in all. If each book had cost Rs 1 less, he would have got 4 more books for the same Rs 80.Let each book cost Rs x. Form a quadratic and solve by factorisation. What is the cost per book (in Rs)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Solving by Factorisation practice

A shopkeeper in Lucknow bought books for Rs 80 in all. If each book had cost Rs 1 less, he would have got 4 more books for the same Rs 80.
Let each book cost Rs $x$ . Form a quadratic and solve by factorisation. What is the cost per book (in Rs)?