Question

John bought 5 printed shrits and 3 plain shirts for Rs. 120. James bought 4 printed shirts and 2 plain shirts for Rs. 100. What is the cost of one printed shirt?

• A. Rs. $20$
• B. Rs. $30$
• C. Rs. $10$
• D. Rs. $40$

Answer 1

The correct option is B Rs. $30$

Let the printed shirt = x
Plain shirt = y
As per the given statement form an equation as,
$5x+3y=120$ ----- (1)
$4x+2y=100$ ---- (2)
From equation (2)
$2y=100-4x$
$y=\frac{100-4x}{2}$
Put the value of y in equation (1)
$5x+3\left(\frac{100-4x}{2}\right)=120$
$10x+300-12x=240$
$-2x=240-300$
$-2x=-60$
$x=30$
Therefore the cost of an printed shirt = Rs. 30