Question

4 shirts and 3 pants cost ₹4,000, whereas 2 shirts and 5 pants cost ₹4800. The sum of cost of one shirt and one pant is

• A. ₹1300
• B. ₹1600
• C. ₹1250
• D. ₹1200

Answer 1

The correct option is D ₹1200

Let the cost of 1 shirt be ₹x and the cost of 1 pant be ₹y.
Then, 4x + 3y = 4000 …..(i)
2x + 5y = 4800 …..(ii)
Multiplying (ii) by 2, we get
4x + 10y = 9600 …..(iii)
Subtracting (i) from (iii), we get
$(4x+10y)-(4x+3y)=9600-4000$
$\Rightarrow 7y=5600$
$\Rightarrow y=800$
Substituting the value of y in (i), we have
$4x+3\times 800=4000$
$\Rightarrow 4x+2400=4000$
$\Rightarrow 4x=4000-2400=1600$
$\Rightarrow x=\frac{1600}{4}=400$
Then, the sum of cost of one shirt and one pant = x + y = 400 + 800 = ₹1200
Hence, the correct answer is option (4).