Question

If the price of a pen is increased by Rs 2, a person can buy 1 pen less for Rs 40, then the original
price of one pen is :

Answer 1

Answer:

the original price of pen is 8Rs so he buys 5 pens from 40 rs

if its price increased to 8+2=10rs he anles to buy 4 pens .

Answer 2

Answer: original price of one pen is Rs 8.

Step-by-step explanation:

Let original price of one pen = x Rs

Number of pens for Rs 40 = 40/x

If the price of a pen is increased by Rs 2 then new price = (x+2) Rs

Now number of pens for Rs 40 = 40/(x+2)

According to question if the price of a pen is increased by Rs 2, a person can buy 1 pen less for Rs 40, so

(40/x) - (40/(x+2)) = 1

40(1/x - 1/(x+2)) = 1

x(x+2) = 80

x²+2x-80 = 0

(x+10) (x-8) = 0

x = 8, -10

∵ Price can't be negative

∴Original price of one pen is 8 Rs.