A shopkeeper gives two consecutive discounts of 10% and 5% respectivel

A shopkeeper gives two consecutive discounts of 10% and 5% respectively on his items. He then adds 20% GST on his items. If an item has marked price ₹2,000, how much more or less of the actual price of the item a customer has to pay?

2·6% less
2·6% more
Same price
5·2% more
This question was previously asked in
UPSC CAPF – 2021
The customer has to pay 2.6% more than the marked price.
To calculate the final price, apply consecutive discounts first to the marked price, and then add the GST to the discounted price. Compare this final price to the original marked price.
Marked Price = ₹2,000.
Price after 1st discount (10%): ₹2000 * (1 – 0.10) = ₹2000 * 0.90 = ₹1800.
Price after 2nd discount (5%): ₹1800 * (1 – 0.05) = ₹1800 * 0.95 = ₹1710. This is the price before GST.
Price after adding 20% GST: ₹1710 * (1 + 0.20) = ₹1710 * 1.20 = ₹2052.
The final price paid by the customer is ₹2052.
The original marked price was ₹2000.
Difference = Final Price – Marked Price = ₹2052 – ₹2000 = ₹52.
The customer pays ₹52 more.
Percentage difference = (Difference / Marked Price) * 100 = (52 / 2000) * 100 = (52/20) = 2.6%.
The customer pays 2.6% more than the actual (marked) price.