A shopkeeper increased the price of a fan by 30%. Sales did not improve, so he announced a discount so that the price came back exactly to the original. What discount percentage (to two decimals) did he give on the increased price?

Question

Accepted Answer

23.08%. Increased factor = 1.30. To return to original, discount d satisfies 1.30 x (1 - d) = 1, so 1 - d = 1/1.30 = 0.7692, d = 0.2308 = 23.08%.

A shopkeeper increased the price of a fan by 30%. Sales did not improve, so he announced a discount so that the price came back exactly to the original.
What discount percentage (to two decimals) did he give on the increased price?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Percentage Increase and Decrease practice

A shopkeeper increased the price of a fan by 30%. Sales did not improve, so he announced a discount so that the price came back exactly to the original.What discount percentage (to two decimals) did he give on the increased price?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Percentage Increase and Decrease practice

A shopkeeper increased the price of a fan by 30%. Sales did not improve, so he announced a discount so that the price came back exactly to the original.
What discount percentage (to two decimals) did he give on the increased price?