Question

By selling a radio set for $650 Raja lose $100 at what price must he sell the radio set to gain 12%​

Answer 1

Let the CP of radio set
=Rs xSP
= Rs 650
Loss = Rs 100
Loss = CP − SP
⇒100 = x − 650
⇒x = 750
⇒CP = Rs 750
So, cost price of radio set = Rs 750
Now, gain % = 12%
⇒[gain/cp×100]% = 12%
⇒gain/750×100 = 12
⇒gain = 12 × 750/100 = 90
⇒SP − CP = 90
⇒SP − 750 = 90
⇒SP = 90 + 750 = Rs 840
So, in order to gain 12%, he must sell it at Rs 840.

Answer 2

Sp=650

Cp=750

12% of Cp

=12/100 × 750

=90

cp+90=750+90=840