Shyam went shopping to buy a mobile, the shopkeeper asked him to pay 23.5% tax if he wants bill. If not, you can get 9% discount on the actual price of the mobile. Then shyam decided not to take the bill and paid Rs.5460. By this, how much money could Shyam saved on purchasing mobile?

Options

A. 1950
B. 2437.5
C. 1410
D. 1850

Answer

To find out how much money Shyam saved by not taking the bill while purchasing the mobile, we can follow these steps:

### Step 1: Determine the actual price of the mobile

Let the actual price of the mobile be \( X \).

Since Shyam received a 9% discount on the actual price, the amount he paid can be expressed as:
\[ \text{Amount paid} = X - 0.09X = 0.91X \]

Given that Shyam paid Rs. 5460, we can set up the equation:
\[ 0.91X = 5460 \]

### Step 2: Solve for \( X \)

To find \( X \), we divide both sides by 0.91:
\[ X = \frac{5460}{0.91} \]

Calculating this gives:
\[ X = 6000 \]

### Step 3: Calculate the total amount if Shyam had taken the bill

If Shyam had taken the bill, he would have to pay a tax of 23.5% on the actual price. The total amount he would have paid is:
\[ \text{Total amount with tax} = X + 0.235X = 1.235X \]

Substituting \( X = 6000 \):
\[ \text{Total amount with tax} = 1.235 \times 6000 = 7410 \]

### Step 4: Calculate the savings

Now, we can find out how much money Shyam saved by not taking the bill:
\[ \text{Savings} = \text{Total amount with tax} - \text{Amount paid} \]
\[ \text{Savings} = 7410 - 5460 = 1950 \]

### Conclusion

Shyam saved Rs. 1950 by not taking the bill when purchasing the mobile.

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