Narendra and Gopal Bhar friend they went to a stationary shop to purch

1.	Narendra and Gopal Bhar friend they went to a stationary shop to purchase pen and pencil purchase 2pen and 3 pencil pencil for rupees 23. where as a Gopal purchase some kind of 3 pen and 5 pencil for rupees 36 find the cost of a pen and pencil
Answer» LET the cost of a pen is Rs. x and the cost of a PENCIL is Rs. y. Narendra and Gopal Bhar were two friends. Narendra went to a stationery SHOP to purchase pen and pencil purchase 2 pens and 3 pencils for Rs. 23. So, Total Rupees = x × (number of pens) + y × (number of pencils) → 23 = x(2) + y(3) → 23 = 2x + 3y............... (1) Similarly, Gopal Bhar purchases some kind of 3 pens and 5 pencils for Rs 36. → 36 = x(3) + y(5) → 36 = 3x + 5y............... (2) On multiplying (eq 1) by 3 and (eq 2) by 2. We get, → 69 = 6x + 9y → 72 = 6x + 10y On COMPARING them, we get, → 69 - 9y = 72 - 10y → 69 - 72 = - 10y + 9y → -3 = - y → y = 3 Substitute VALUE of y = 3 in eq (1) → 23 = 2x + 3(3) → 23 = 2x + 9 → 2x = 23 - 9 → 2x = 14 → x = 7 Therefore, Cost of a pen is Rs. 7 and a pencil is Rs. 3

Narendra and Gopal Bhar friend they went to a stationary shop to purchase pen and pencil purchase 2pen and 3 pencil pencil for rupees 23. where as a Gopal purchase some kind of 3 pen and 5 pencil for rupees 36 find the cost of a pen and pencil

Answer»

LET the cost of a pen is Rs. x and the cost of a PENCIL is Rs. y.

Narendra and Gopal Bhar were two friends.

Narendra went to a stationery SHOP to purchase pen and pencil purchase 2 pens and 3 pencils for Rs. 23.

So,

Total Rupees = x × (number of pens) + y × (number of pencils)

→ 23 = x(2) + y(3)

→ 23 = 2x + 3y............... (1)

Similarly, Gopal Bhar purchases some kind of 3 pens and 5 pencils for Rs 36.

→ 36 = x(3) + y(5)

→ 36 = 3x + 5y............... (2)

On multiplying (eq 1) by 3 and (eq 2) by 2. We get,

→ 69 = 6x + 9y

→ 72 = 6x + 10y

On COMPARING them, we get,

→ 69 - 9y = 72 - 10y

→ 69 - 72 = - 10y + 9y

→ -3 = - y

→ y = 3

Substitute VALUE of y = 3 in eq (1)

→ 23 = 2x + 3(3)

→ 23 = 2x + 9

→ 2x = 23 - 9

→ 2x = 14

→ x = 7

Therefore, Cost of a pen is Rs. 7 and a pencil is Rs. 3