By selling a radio for Rs. 950, a man loses 5%. What per cent shall he

1.	By selling a radio for Rs. 950, a man loses 5%. What per cent shall he gain by selling it for Rs. 1040? A. 4% B. 4.5% C. 5% D. 9%
Answer» SP = Rs.950 Loss % = 5 CP = \(\frac{100}{100\,-\,Loss\%}\times SP\) = \(\frac{100}{100\,-\,5}\times 950\) = Rs.1000 New SP will be Rs.1040 Gain = SP - CP = 1040 – 1000 = Rs.40 \(Gain\%=\frac{Gain\,\times\,100}{CP}\) = (40 × 100) / 1000 = 4%

By selling a radio for Rs. 950, a man loses 5%. What per cent shall he gain by selling it for Rs. 1040? A. 4% B. 4.5% C. 5% D. 9%

Answer»

SP = Rs.950

Loss % = 5

CP = \(\frac{100}{100\,-\,Loss\%}\times SP\)

= \(\frac{100}{100\,-\,5}\times 950\)

= Rs.1000

New SP will be Rs.1040

Gain = SP - CP

= 1040 – 1000

= Rs.40

\(Gain\%=\frac{Gain\,\times\,100}{CP}\)

= (40 × 100) / 1000

= 4%