A man buys a trouser for Rs. 1250. If he gets a reduction of 20 percent in the price of the trouser, he can use the remaining money to buy a t shirt as well, so that the total spending stays equal to the original Rs. 1250. What is the price of the t shirt in rupees?

Introduction / Context:
This problem is a straightforward application of percentage reduction and basic arithmetic. The buyer first considers a single item, then a discounted price allows him to buy an additional item while keeping the total expenditure unchanged. The goal is to use the information about the discount to find the price of the second item.

Given Data / Assumptions:

• The man buys a trouser for Rs. 1250 initially.
• The price of the trouser is reduced by 20 percent.
• Using the reduced price, he can buy both the trouser and a t shirt for a total of Rs. 1250.
• We assume there are no other taxes or discounts.
• We need to find the price of the t shirt.

Concept / Approach:
The key concept is that a percentage reduction decreases the price by a certain fraction of the original price. Here a 20 percent reduction means the new price is 80 percent of the original price. Once we compute the reduced trouser price, we subtract that amount from the fixed budget of Rs. 1250. The remaining amount must be the cost of the t shirt. The entire calculation only uses simple multiplication and subtraction.

Step-by-Step Solution:
Original price of the trouser equals 1250 rupees.Reduction is 20 percent, which means the new price is 80 percent of 1250.Compute reduced trouser price as 1250 * 0.80 which is 1000 rupees.The man total budget remains 1250 rupees, the same as the original price of the trouser.After buying the trouser at the reduced price of 1000 rupees, the remaining money is 1250 minus 1000 which is 250 rupees.This remaining amount must be the price of the t shirt.

Verification / Alternative check:
We can verify the solution by checking the total expenditure after the reduction. If the trouser costs 1000 rupees and the t shirt costs 250 rupees, then the total amount spent is 1000 plus 250 which equals 1250 rupees. This matches the original single purchase amount, so the condition in the problem is satisfied exactly. Therefore the derived t shirt price is consistent with all the given information.

Why Other Options Are Wrong:
If the t shirt cost 125 rupees, the total spending would be 1000 plus 125 equals 1125 rupees, which is less than 1250 rupees. For 225 rupees, the total would be 1225 rupees, still less than the original amount. For 200 rupees, the total would be 1200 rupees. None of these totals matches the requirement that the combined cost equals the original trouser price of 1250 rupees. Only 250 rupees makes the total exactly 1250 rupees.

Common Pitfalls:
Some learners mistakenly subtract 20 rupees instead of 20 percent, which is incorrect because the reduction is a percentage of the original price, not a fixed rupee amount. Others forget that the full original amount is available to buy both items and treat the reduced trouser price as the total budget. Carefully reading the statement about spending the same amount as before is essential to set up the correct equation.

Final Answer:
The price of the t shirt that can be purchased along with the discounted trouser is Rs. 250.