A Shopkeeper buys \(two \) bicycles for \(Rs. 750.\) He sells first bicycle at a profit of \(22\) % and he second bicycle at a loss of \(8\)%. What is the Selling Price of first bicycle if in the whole transaction there is no profit no loss?
Answer: B
Cost Price of bicycle \(= x\)
Then Cost Price of \(2nd\) bicycle is \(750 - x.\)
Their Selling Price be \(\frac{122}{100} \times x\) and \(\frac{92}{100} \times (750 - x)\)
Given that there is no profit no loss.
\(\frac{122}{100} \times x + \frac{92}{100} \times (750 - x) = 750\)
\(\Rightarrow 122x + 750 \times 92 - 92x = 750 \times 100\)
\(\Rightarrow 122x - 92x = 750 \times 100 - 750 \times 92\)
\(\Rightarrow 30x = 750 \times (100 - 92)\)
\(x = 200.\)
Selling Price of \(1st\) bicycle \(= \frac{122}{100} \times 200 = Rs 244.\)