On selling an article at a certain price a man gains 10%. On selling t

1.	On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is A. 20% B. 100% C. 120% D. 140%
Answer» Let the cost price be Rs.100 Gain = 10% SP = \(\frac{100\,+\,Gain\%}{100}\times CP\) = \(\frac{100\,+\,10}{100}\times100\) = Rs.110 Now, according to question make the selling price double = 110 × 2 = Rs.220 Now, Gain will be = 220 – 100 = Rs.120 \(Gain\%=\frac{Gain\,\times100}{CP}\) = \(\frac{120\,\times\,100}{100}\) = 120%

On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is A. 20% B. 100% C. 120% D. 140%

Answer»

Let the cost price be Rs.100

Gain = 10%

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

= \(\frac{100\,+\,10}{100}\times100\)

= Rs.110

Now, according to question make the selling price double

= 110 × 2

= Rs.220

Now, Gain will be

= 220 – 100

= Rs.120

\(Gain\%=\frac{Gain\,\times100}{CP}\)

= \(\frac{120\,\times\,100}{100}\)

= 120%