Question

A shopkeeper gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs. 704, then what is its labelled price?​

Answer 1

Given:

• A shopkeeper gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs. 704

To find:

• What is its labelled price?

Solution:

• Let the label price of the radio be x

$\sf \: Sp = (100 - 20)\% \: of(100 - 12)\% \: of \: x \\ \sf \: 704 = \frac{80}{100} \times \frac{88}{100} \times x \\ x = \frac{704 \times 100 \times 100}{80 \times 88} \\ = Rs.1000 \\ Hence \: the \: Labelled \: Price \: of \: Radio = rs.704$