Question

The cost price of a pen is Rs x and that of a pencil is Rs y . By selling the pen at a profit of 20% and pencil at a profit of 30% , the shopkeeper made total profit of Rs 5 . Frame a linear equation satisfying the condition *
a) 30x +20y =5
b) 2x +3y =50
c)3x +2y = 50
d)20x + 30y = 5​

Answer 1

Answer:

Correct option is

C

Solution:-

Let the cost of pen and pencil be x and y

cost of 2 pens and one pencil is Rs. 35 (Given)

∴ 2x+y=35 ⟶eq

n

(i)

cost of 3 pens and 4 pencils is Rs. 65

∴ 3x+4y=65 ⟶eq

n

(ii)

Multiplying eq

n

(i) by 4, we get

8x+4y=140 ⟶eq

n

(iii)

Subtracting eq

n

(ii) from (iii), we have

8x+4y−3x−4y=140−65

⇒ 5x=75

Hence, the cost of 1 pen