Successive Discount: 19% + Additional 2%
English
Question:
A sports store offers a 19% discount on its articles and a further 2% discount on the reduced price to customers who pay through an online wallet. If a customer purchases sports items worth ₹18,000 and pays through an online wallet, find the final amount to be paid.
Solution
Marked Price = ₹18,000
First discount = 19%
Price after first discount:
= 18000 × (81/100)
= ₹14,580
Now, an additional discount of 2% is given on ₹14,580.
Second discount:
= 14580 × (2/100)
= ₹291.60
Therefore,
Final Amount = 14580 − 291.60
= ₹14,288.40
Shortcut Method
For successive discounts of 19% and 2%:
Equivalent Discount
= 19 + 2 − (19 × 2)/100
= 21 − 0.38
= 20.62%
Therefore, the customer pays:
= 100% − 20.62%
= 79.38% of ₹18,000
= 18000 × 79.38/100
= ₹14,288.40
हिंदी
प्रश्न:
एक स्पोर्ट्स स्टोर अपने सामान पर 19% की छूट देता है। ऑनलाइन वॉलेट से भुगतान करने वाले ग्राहकों को घटी हुई कीमत पर 2% की अतिरिक्त छूट दी जाती है। यदि कोई ग्राहक ₹18,000 का सामान खरीदता है, तो उसे कितनी राशि का भुगतान करना होगा?
हल
अंकित मूल्य = ₹18,000
पहली छूट = 19%
पहली छूट के बाद मूल्य:
= 18000 × (81/100)
= ₹14,580
अब ₹14,580 पर 2% की अतिरिक्त छूट मिलेगी।
दूसरी छूट:
= 14580 × (2/100)
= ₹291.60
अतः,
अंतिम भुगतान राशि
= 14580 − 291.60
= ₹14,288.40
शॉर्टकट विधि
क्रमिक छूट 19% और 2% है।
कुल प्रभावी छूट:
= 19 + 2 − (19 × 2)/100
= 21 − 0.38
= 20.62%
अतः ग्राहक को भुगतान करना होगा:
= 100% − 20.62%
= 79.38%
अब,
= 18000 × 79.38/100
= ₹14,288.40
🎯 Final Answer / अंतिम उत्तर
₹14,288.40
Important Exam Point
19% + 2% successive discount is NOT equal to 21%.
The effective discount is:
20.62%
Formula
For two successive discounts of a% and b%:
Equivalent Discount = a + b − (ab/100)%