Question:easy

The price of 2 trousers and 4 shirts is Rs. 1,600. With the same amount one can buy 1 trouser and 6 shirts. If one wants to buy 12 shirts, he has to pay

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Both baskets cost the same, so dropping 1 trouser must be balanced by adding 2 shirts. That gives 1 trouser = 2 shirts, which turns the second equation into 8 shirts = Rs. 1600.
Updated On: Jul 17, 2026
  • Rs. 2400
  • Rs. 4800
  • Rs. 1200
  • Rs. 3700
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The Correct Option is A

Solution and Explanation

Step 1: Read the difference between the two baskets.
Basket 1 is 2 trousers and 4 shirts. Basket 2 is 1 trouser and 6 shirts. Both cost Rs. 1600.
Going from basket 1 to basket 2 you drop 1 trouser and gain 2 shirts, yet the bill does not change.
So the value dropped equals the value gained: 1 trouser = 2 shirts.

Step 2: Rewrite everything in shirt units.
Since a trouser is worth 2 shirts, basket 2 becomes $2 + 6 = 8$ shirts.
Basket 1 becomes $2 \times 2 + 4 = 8$ shirts as well, which is a good consistency check.

Step 3: Value one shirt.
8 shirts are worth Rs. 1600, so one shirt is $\dfrac{1600}{8} = 200$ rupees.

Step 4: Scale to 12 shirts.
8 shirts cost Rs. 1600, and 12 shirts is $\dfrac{12}{8} = 1.5$ times that amount.
\[ 1600 \times 1.5 = 2400 \]
Direct multiplication agrees: $12 \times 200 = 2400$.

Step 5: Test the distractors.
Rs. 4800 would make a shirt cost Rs. 400, but Rs. 400 is the trouser price here.
Rs. 1200 buys 6 shirts only.
Rs. 3700 is not a multiple of 200, so it cannot be a whole number of shirts at Rs. 200 each.

Final Answer:
He has to pay Rs. 2400 for 12 shirts. \[ \boxed{\text{Rs. } 2400} \]
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