Question

The marked price of a cycle is ₹8000. After two successive discount, it is sold for ₹5760. If the first discount was 10%, find the second discount rate.

• A. 15%
• B. 20%
• C. 25%
• D. 18%

Answer 1

Answer:

B. 20%

To find the second discount rate, let's break down the problem step-by-step:

Step 1: Find the price after the first discount

• Marked Price (MP) = ₹8,000

• First Discount = $10\%$

$\text{Price after 1st discount} = 8000 \times \left(1 - \frac{10}{100}\right) = 8000 \times 0.90 =7,200$

Step 2: Determine the price after the second discount

The cycle is finally sold for ₹5,760. The second discount is applied on the reduced price of ₹7,200.

• Let the second discount rate be $x\%$.

• Selling Price (SP) = ₹5,760

$7200 \times \left(1 - \frac{x}{100}\right) = 5760$

Step 3: Solve for the second discount rate ($x$)

$\left(1 - \frac{x}{100}\right) = \frac{5760}{7200}$

$\left(1 - \frac{x}{100}\right) = 0.8$

$\frac{x}{100} = 1 - 0.8 = 0.2$

$x = 0.2 \times 100 = 20\%$

Answer: The second discount rate is $20\%$.