Question:

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: Turn the words into equations.
Let one trouser cost \( t \) rupees and one shirt cost \( s \) rupees.
Two trousers and four shirts cost Rs. 1600, so \[ 2t + 4s = 1600 \]
The words "with the same amount" mean the second purchase also costs Rs. 1600, so \[ t + 6s = 1600 \]
Two equations with two unknowns, so both prices are fixed.

Step 2: Compare the two purchases.
Both cost the same rupees, so we can set the left sides equal: \[ 2t + 4s = t + 6s \]
Take \( t \) and \( 4s \) to the other side: \[ t = 2s \]
So one trouser costs exactly what two shirts cost. This single relation carries the whole question.

Step 3: Find the price of one shirt.
Put \( t = 2s \) into the second equation because its numbers are smaller: \[ 2s + 6s = 1600 \]
\[ 8s = 1600 \]
\[ s = 200 \]
One shirt costs Rs. 200, and one trouser costs \( t = 2 \times 200 = 400 \) rupees.

Step 4: Check both given conditions.
First purchase: \( 2(400) + 4(200) = 800 + 800 = 1600 \). Correct.
Second purchase: \( 400 + 6(200) = 400 + 1200 = 1600 \). Correct.
Both match, so the prices are right.

Step 5: Cost of 12 shirts.
\[ 12 \times 200 = 2400 \]

Step 6: Why the other options are wrong.
Rs. 4800 comes from using the trouser price of Rs. 400 for a shirt, which mixes up the two items.
Rs. 1200 is the cost of only 6 shirts, half the asked quantity.
Rs. 3700 does not come from any consistent reading of the data.

Final Answer:
Twelve shirts at Rs. 200 each cost Rs. 2400. \[ \boxed{\text{Rs. } 2400} \]
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