Understanding Successive Discounts on a Shirt
The problem asks us to find the total reduction in price when a shirt, initially marked at ₹1,200, is sold after applying two successive discounts: 5% and then 15%. We need to calculate the difference between the marked price and the final selling price.
Calculating the Selling Price After Discounts
To find the final selling price (SP), we apply the discounts one after the other. The second discount is applied to the price calculated after the first discount, not the original marked price.
Step 1: Calculate the price after the first discount (5%)
Marked Price (MP) = ₹1,200
First Discount = 5%
Discount amount = $5\% \text{ of } ₹1,200 = \frac{5}{100} \times 1200 = ₹60$
Price after first discount = Marked Price - First Discount Amount
Price after first discount = $1200 - 60 = ₹1140$
Step 2: Calculate the price after the second discount (15%)
The second discount of 15% is applied to the price calculated in Step 1, which is ₹1140.
Second Discount = 15%
Second Discount amount = $15\% \text{ of } ₹1140 = \frac{15}{100} \times 1140$
Second Discount amount = $0.15 \times 1140 = ₹171$
Final Selling Price (SP) = Price after first discount - Second Discount Amount
SP = $1140 - 171 = ₹969$
Alternative Method: Using Discount Multipliers
We can also calculate the selling price directly:
SP = Marked Price $\times (1 - \frac{\text{Discount}_1}{100}) \times (1 - \frac{\text{Discount}_2}{100})$
SP = $1200 \times (1 - \frac{5}{100}) \times (1 - \frac{15}{100})$
SP = $1200 \times (\frac{100 - 5}{100}) \times (\frac{100 - 15}{100})$
SP = $1200 \times (\frac{95}{100}) \times (\frac{85}{100})$
SP = $1200 \times 0.95 \times 0.85$
SP = $1140 \times 0.85$
SP = $969$
Calculating the Difference Between Marked Price and Selling Price
The question asks by how many rupees the selling price is less than the marked price. This is the total discount amount.
Difference = Marked Price - Selling Price
Difference = $1200 - 969$
Difference = ₹231
Summary of Calculation
| Marked Price (MP) | ₹1,200 |
| First Discount (5%) | ₹60 |
| Price after 1st Discount | ₹1,140 |
| Second Discount (15% on ₹1,140) | ₹171 |
| Final Selling Price (SP) | ₹969 |
| Difference (MP - SP) | ₹231 |
Therefore, the selling price is ₹231 less than the marked price.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
