A teacher gives the following problem related to 'discount' to the students for solving. "The Marked Prices (M.P.) of a shirt and sweater are ₹ 200 and ₹ 300 respectively, and the discounts on the marked prices of shirt and sweater are `20%` and `12%` respectively. While preparing the bill, the shopkeeper interchanged the discounts on these items by mistake. On getting the bill, Hamida noticed the mistake and paid the acutal amount to the shopkeeper. How much money did Hamida pay to the shopkeeper?"
What value does the teacher try to promote through this problem?

Options

A. Honesty
B. Co-operation
C. Sympathy
D. Compassion

Answer

To solve the problem, we need to calculate the actual amount Hamida paid after the shopkeeper mistakenly interchanged the discounts on the shirt and sweater. Let's break this down step by step.

### Step 1: Calculate the actual price of the shirt and sweater with the correct discounts.

**Marked Price of Shirt (M.P.) = ₹200**
**Discount on Shirt = 20%**

To find the discount amount on the shirt:
\[ \text{Discount on Shirt} = \frac{20}{100} \times 200 = ₹40 \]

Now, calculate the selling price of the shirt:
\[ \text{Selling Price of Shirt} = \text{M.P.} - \text{Discount} = 200 - 40 = ₹160 \]

**Marked Price of Sweater (M.P.) = ₹300**
**Discount on Sweater = 12%**

To find the discount amount on the sweater:
\[ \text{Discount on Sweater} = \frac{12}{100} \times 300 = ₹36 \]

Now, calculate the selling price of the sweater:
\[ \text{Selling Price of Sweater} = \text{M.P.} - \text{Discount} = 300 - 36 = ₹264 \]

### Step 2: Calculate the total actual amount Hamida should have paid.

Now, we add the selling prices of the shirt and sweater:
\[ \text{Total Actual Amount} = \text{Selling Price of Shirt} + \text{Selling Price of Sweater} = 160 + 264 = ₹424 \]

### Step 3: Calculate the prices with the interchanged discounts.

Now, let's calculate the prices if the discounts were interchanged.

**Discount on Shirt (mistakenly applied) = 12%**
\[ \text{Discount on Shirt (mistakenly)} = \frac{12}{100} \times 200 = ₹24 \]
\[ \text{Selling Price of Shirt (mistakenly)} = 200 - 24 = ₹176 \]

**Discount on Sweater (mistakenly applied) = 20%**
\[ \text{Discount on Sweater (mistakenly)} = \frac{20}{100} \times 300 = ₹60 \]
\[ \text{Selling Price of Sweater (mistakenly)} = 300 - 60 = ₹240 \]

### Step 4: Calculate the total amount Hamida paid based on the mistaken bill.

Now, we add the mistaken selling prices:
\[ \text{Total Mistaken Amount} = \text{Selling Price of Shirt (mistakenly)} + \text{Selling Price of Sweater (mistakenly)} = 176 + 240 = ₹416 \]

### Step 5: Conclusion

Hamida noticed the mistake and paid the actual amount:
\[ \text{Amount paid by Hamida} = ₹424 \]

### Value Promoted by the Teacher

The teacher promotes the value of **honesty** through this problem, as Hamida noticed the mistake and ensured she paid the correct amount.

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