A sells a scooter priced Rs 36,000. He gives a discount of 8% on the first Rs 20,000 and 5% on the next Rs 10,000. How much discount can he affored on the remaining Rs 6000 if he is to get as much as 7% discount is allowed on the total.

Answer

To solve the problem, we will follow these steps:

### Step 1: Calculate the total discount allowed on the scooter.
The total price of the scooter is Rs 36,000. A discount of 7% is allowed on this total.

\[ \text{Total discount} = 7\% \text{ of } 36,000 = \frac{7}{100} \times 36,000 = 2,520 \]

### Step 2: Calculate the discount given on the first Rs 20,000.
A gives an 8% discount on the first Rs 20,000.

\[ \text{Discount on first } 20,000 = 8\% \text{ of } 20,000 = \frac{8}{100} \times 20,000 = 1,600 \]

### Step 3: Calculate the discount given on the next Rs 10,000.
A gives a 5% discount on the next Rs 10,000.

\[ \text{Discount on next } 10,000 = 5\% \text{ of } 10,000 = \frac{5}{100} \times 10,000 = 500 \]

### Step 4: Calculate the total discount given so far.
Now, we will add the discounts from the first two parts.

\[ \text{Total discount given so far} = 1,600 + 500 = 2,100 \]

### Step 5: Calculate the remaining discount that can be given on the last Rs 6,000.
We need to find out how much discount can be given on the remaining Rs 6,000. We will subtract the total discount given so far from the total discount allowed.

\[ \text{Remaining discount} = \text{Total discount} - \text{Total discount given so far} \]
\[ \text{Remaining discount} = 2,520 - 2,100 = 420 \]

### Step 6: Calculate the discount percentage that can be given on the remaining Rs 6,000.
Now, we can find the percentage discount that can be given on the remaining Rs 6,000.

\[ \text{Discount on remaining } 6,000 = 420 \]

### Step 7: Calculate the discount percentage on Rs 6,000.
To find the percentage discount on Rs 6,000:

\[ \text{Discount percentage} = \left(\frac{420}{6,000}\right) \times 100 = 7\% \]

### Final Answer:
A can afford to give a discount of Rs 420 on the remaining Rs 6,000.

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