Question

The cost of a pen is 5 times the cost of a pencil. If the cost of 2 pens and 3 pencils is Rs. 26, find the cost of one pen and one pencil.

Answer 1

✬ Pen = Rs 10 ✬

✬ Pencil = Rs 2 ✬

Step-by-step explanation:

Given:

• Cost of a pen is 5 times cost of pencil.
• Cost of 2 pens and 3 pencils is Rs 26.

To Find:

• What is the cost of one pen & pencil?

Solution: Let the cost of one pen & one pencil be Rs x and y respectively. Therefore,

➟ Cost of one pen = 5 times of y

➟ x = 5y......(1)

A/q

➟ Cost of 2 pen and 3 pencils = 26

➟ 2(x) + 3(y) = 26......(2)

Put the value of x in equation (2) from (1)

$\implies{\rm }$ 2(5y) + 3y = 26

$\implies{\rm }$ 10y + 3y = 26

$\implies{\rm }$ 13y = 26

$\implies{\rm }$ y = 26/13

$\implies{\rm }$ y = 2

So, cost price of both items

➼ C.P of one pencil is y = Rs 2

➼ C.P of one pen x = 5y = 5(2) = Rs 10

_________________

★ Verification ★

➛ 2x + 3y = 26

➛ 2(10) + 3(2) = 26

➛ 20 + 6 = 26

➛ 26 = 26

$\large\boxed{\texttt{Verified}}$

Answer 2

Answer:

pen=10 pencil=2

Step-by-step explanation: