If two jeans and three shirts cost ₹ 4000 and three jeans and two shirts cost ₹ 3500, how much does a jean cost?
(a)₹ 500
(b)₹ 1000
(c)₹ 1500
(d)₹ 2000
Answer
Answer (as printed): A
Explanation
Let the price of a jean be ₹ $x$ and that of a shirt be ₹ $y$. Then, $2 x+3 y=4000 \quad \ldots(i)$ and $3 x+2 y=3500$ Adding (i) and (ii), we get: $5 x+5 y=7500$ or $x+y=1500$ Subtracting (ii) from (i), we get: $-x+y=500$ Adding (iii) and (iv), we get: $2 y=2000$ or $y=1000$. Putting $y=1000$ in (iii), we get: $x=500$. Hence, cost of a jean $=₹ 500$.
Explanation as extracted from the printed page; notation may be imperfect.