Question

If the price of a pen is discounted by 40%, for 120 you can buy 4 more pens than you could buy at the original price. How many pens could be bought for 120 at the original price?

Answer 1

Answer:

The original price of pen is Rs. 6 and 120/6=20 pens could be bought for Rs 120 at original price.

Step-by-step explanation:

Let x no of pens bought for Rs. 120 at original price.

then the original cost of pen is Rs. 120/x

Now if it is discounted at 40% then we can by 4 more pens in Rs. 120.

that is discounted price per unit is:

=120/x-(.40)120/x

=120/x(1-0.40)

=120/x(0.60)

And x+4 units of pen can be bought for Rs. 120,

Therefore,  120/x(0.60)(x+4)=120

(0.60)(x+4)=x

0.60x+2.4=x

2.4=(0.4)x

x=2.4/0.4

x=6

so the original price of pen is Rs. 6 and 120/6=20 pens could be bought for Rs 120 at original price.