Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sale

1.	Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sales tax is 7%. He tells the shop keeper to reduce the price of 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 (b) Rs 170 (c) Rs 168 (d) Rs 169
Answer» (c) Rs 168 Let the reduced price of the radio be Rs x. Then, x + 7% of x = 2568 \(\Rightarrow\) \(\frac{107}{100}\)x x = 2568 \(\Rightarrow\) x = \(\frac{2568\times100}{107}\) = 2400 \(\therefore\) Reduction needed in the price of radio = Rs 2568 – Rs 2400 = Rs 168.

Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sales tax is 7%. He tells the shop keeper to reduce the price of 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 (b) Rs 170 (c) Rs 168 (d) Rs 169

Answer»

(c) Rs 168

Let the reduced price of the radio be Rs x. Then, x + 7% of x = 2568

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

\(\Rightarrow\) x = \(\frac{2568\times100}{107}\) = 2400

\(\therefore\) Reduction needed in the price of radio = Rs 2568 – Rs 2400 = Rs 168.