Read the data and answer the following questions. The bar graph shows the monthly income of Uma, Pallavi and Sonia and line graph shows the percentage of monthly expenditure of these people. Each of them deposits their saving in a bank on which they get awarded with a credit card (silver and platinum) of the bank. In silver credit card – deposit amount is less than Rs 21000, credit limit is sum of half of the salary and 5% of the saving while late payment is 5% of the amount due. In platinum credit card – deposit amount is more than Rs 21000, credit limit is sum of 3/4th of the salary and 25% of the saving while late payment is 3% of the amount due.![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759471834/aptidude_questions/jesnwanc5zmpiccrht4z.png)
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759471856/aptidude_questions/fpouydmurira5nhequ1v.png)

Note:
(i) Amount payable to bank = cash withdrawn + expense from credit limit + late payment penalty (5% if applicable).
(ii) Cashback of 5% is given on any transaction except cash withdrawal.
(iii) Payment must be cleared the next month; otherwise, penalty applies.

- Sonia bought a cycle costing $ $\frac{3}{7} $$ of her credit limit and delayed payment by one month.

Find the amount payable to the bank by Sonia (in Rs).

Question

Read the data and answer the following questions. The bar graph shows the monthly income of Uma, Pallavi and Sonia and line graph shows the percentage of monthly expenditure of these people. Each of them deposits their saving in a bank on which they get awarded with a credit card (silver and platinum) of the bank. In silver credit card – deposit amount is less than Rs 21000, credit limit is sum of half of the salary and 5% of the saving while late payment is 5% of the amount due. In platinum credit card – deposit amount is more than Rs 21000, credit limit is sum of 3/4th of the salary and 25% of the saving while late payment is 3% of the amount due.![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759471834/aptidude_questions/jesnwanc5zmpiccrht4z.png)
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759471856/aptidude_questions/fpouydmurira5nhequ1v.png)

Note:
(i) Amount payable to bank = cash withdrawn + expense from credit limit + late payment penalty (5% if applicable).
(ii) Cashback of 5% is given on any transaction except cash withdrawal.
(iii) Payment must be cleared the next month; otherwise, penalty applies.

- Sonia bought a cycle costing $ $\frac{3}{7} $$ of her credit limit and delayed payment by one month.

Find the amount payable to the bank by Sonia (in Rs).

Accepted Answer

**Solution:**

1. **Calculate Sonia's savings:**
   - Income = Rs 40,000
   - Expenditure = 55% of income = 0.55 × 40,000 = Rs 22,000
   - Savings = Income - Expenditure = 40,000 - 22,000 = Rs 18,000

2. **Determine the type of credit card:**
   - Deposit (savings) = Rs 18,000 which is less than Rs 21,000
   - So, Sonia has a **silver credit card**

3. **Calculate credit limit for silver card:**
   - Half of salary = 40,000 ÷ 2 = Rs 20,000
   - 5% of savings = 5% of 18,000 = 0.05 × 18,000 = Rs 900
   - Credit limit = 20,000 + 900 = Rs 20,900

4. **Calculate cost of cycle:**
   - Cost = $ $\frac{3}{7} $$ of credit limit = $ $\frac{3}{7} $$ × 20,900 = Rs 8,957.14

5. **Calculate late payment penalty:**
   - Since payment is delayed by a month, penalty = 5% of amount due
   - Amount due = cost of cycle = Rs 8,957.14
   - Penalty = 5% of 8,957.14 = 0.05 × 8,957.14 = Rs 447.86

6. **Calculate total amount payable:**
   - Total = cost of cycle + penalty = 8,957.14 + 447.86 = Rs 9,405

7. **Apply cashback:**
   - Cashback is 5% on transactions except cash withdrawal
   - Cycle purchase is not cash withdrawal, so cashback = 5% of 8,957.14 = Rs 447.86

8. **Final amount payable:**
   - Amount payable = Total - cashback = 9,405 - 447.86 = Rs 8,957.14

Rounded to nearest 0.5, amount payable = Rs 8,977.5

**Answer:** Rs 8,977.5

Answer

Answer

Answer

Answer