The cost of 4 shirts and 2 pants is ₹ 3,000. Find the cost of 6 shirts and 3…
2023
The cost of 4 shirts and 2 pants is ₹ 3,000. Find the cost of 6 shirts and 3 pants (in ₹)?
- A.
3,800
- B.
4,500
- C.
4,200
- D.
5,500
Attempted by 31 students.
Show answer & explanation
Correct answer: B
Let the cost of one shirt be S and one pant be P. From the given information, 4S + 2P = ₹3,000. We need to find the cost of 6 shirts and 3 pants, which is represented as 6S + 3P.
Notice that the expression for the required cost (6S + 3P) is exactly 1.5 times the original expression (4S + 2P).
Mathematically, we can factor out 1.5 from the required expression: 6S + 3P = 1.5(4S + 2P).
Since we know the value of (4S + 2P) is ₹3,000, we simply multiply this amount by 1.5 to get the answer: 1.5 × 3,000 = ₹4,500.
Therefore, the cost of 6 shirts and 3 pants is ₹4,500.
Option A (₹3,800) and Option C (₹4,200) are incorrect because they do not maintain the proportional relationship between the quantities of shirts and pants given in the problem statement.