Directions : Ramu and Shyamu decide to sell their cars each at Rs. 36,000. While Ramu decided to give a discount of 8% on the first Rs. 8000,5% on next Rs 12000 and 3% on the rest to buyer Shashi. Shyamu decided to give a discount of 7% on the first 12000, 6% on next 8000 and 5% on the rest to buyer Rajesh. These discounts were, however, subject to the buyers making the payment on time failing which the discount gets reduced by 1% for every delay of a week. In each case, the selling price of 36,000 was arrived at by increasing the cost price by 25%.
If Shashi defaults by 1 and 2 weeks in the second and third payments respectively, what would be the profit of Ramu in the sale of the car ?

Options

A. Rs 5920
B. Rs 6240
C. Rs 5860
D. Rs 5980

Answer

To solve the problem step by step, we will calculate Ramu's profit from the sale of his car after applying the discounts based on Shashi's payment delays.

### Step 1: Determine the Selling Price and Cost Price
Ramu sells his car for Rs. 36,000. The selling price is derived from the cost price (CP) increased by 25%.

Let the cost price be \( CP \).
\[ SP = CP + 0.25 \times CP = 1.25 \times CP \]
\[ 36,000 = 1.25 \times CP \]
To find \( CP \):
\[ CP = \frac{36,000}{1.25} = 28,800 \]

### Step 2: Calculate the Discounts
Ramu gives discounts based on the following structure:
- 8% on the first Rs. 8,000
- 5% on the next Rs. 12,000
- 3% on the remaining amount (Rs. 16,000)

#### First Installment (Rs. 8,000)
\[ \text{Discount} = 8\% \text{ of } 8,000 = 0.08 \times 8,000 = 640 \]

#### Second Installment (Rs. 12,000)
Shashi is late by 1 week, so the discount reduces by 1%.
\[ \text{Discount} = 4\% \text{ of } 12,000 = 0.04 \times 12,000 = 480 \]

#### Third Installment (Remaining Rs. 16,000)
Shashi is late by 2 weeks, so the discount reduces by 2%.
\[ \text{Discount} = 1\% \text{ of } 16,000 = 0.01 \times 16,000 = 160 \]

### Step 3: Total Discount Given
Now, we can calculate the total discount given to Shashi:
\[ \text{Total Discount} = 640 + 480 + 160 = 1,280 \]

### Step 4: Calculate the Profit
Now we can calculate Ramu's profit:
\[ \text{Profit} = SP - CP - \text{Total Discount} \]
\[ \text{Profit} = 36,000 - 28,800 - 1,280 \]
\[ \text{Profit} = 36,000 - 30,080 = 5,920 \]

### Final Answer
Ramu's profit from the sale of the car is Rs. 5,920.

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