A customer wanted to purchase an item marked for ₹10000. Shopkeeper offered two types of discounts, 25% flat discount or successive discounts of 14% and 12%. Which is the better offer for the customers and by how much?

first offer by ₹68

An item purchased by customer = Rs. 10000

First types of discounts = 25%

Second types of discount = successive discounts of 14% and 12%.

Successive discount =  x + y - \(\frac{x × y}{100}\)

Successive discount =  14 + 12 - \(\frac{14 × 12}{100}\)

⇒ (26 – 1.68)

⇒ 24.32%

The best discount = First types of discount – Second types of discount

⇒ (25 – 24.32)% 

⇒ 0.68%

Now,

The better offer for the customers = Rs. (10000 × \(\frac{0.68}{100}\) )

⇒ Rs. 68

 First offer by ₹68