Question

Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sales tax is 7%. He tells the shopkeeperto reduce the price of the radio to such an extent that he has to pay Rs 2568, inclusive of sales tax. Find the reduction needed in the price of the radio.

• A. Rs 179.76
• B. Rs 170
• C. Rs 168
• D. Rs 169

Answer 1

The Correct Option is C

Let's Assume the reduced price of the radio be \(Rs. x\)

According to the question, Reduced Price + Sale tax = \(Rs.\) 2568

So,

\(x + \frac{7x}{100} = 2568\)

\(= \frac{107x}{100} = 2568\)

= \(x = \frac{2568 \times 100}{107}\)

\(x = 24 \times 100 = 2400\)

So, the reduction needed in the price of the radio. = 2568 - 2400

= \(Rs. 168\)

The correct option is (C): Rs.168