Final answer:
Calculating the cost prices of the cycles and the overall result shows that Rajesh incurred a total loss of Rs. 791.21 in both deals, which is not in the options provided.
Step-by-step explanation:
The student asked to find the total profit or loss from two deals in which Rajesh earns a profit of 30% on one cycle and incurs a loss of 30% on the second cycle, with each cycle sold for Rs. 4000. To solve this, we need to calculate the actual cost price of each cycle using the given profit or loss percentages and then determine the net result.
Let's assume the cost price for the first cycle is 'x'. Rajesh earns a 30% profit, so the selling price becomes 1.30x. Given that the selling price is Rs. 4000,
1.30x = 4000
x = Rs. 3076.92 (Cost price of the first cycle).
For the second cycle, assuming the cost price is 'y', Rajesh incurs a 30% loss. Therefore, the selling price is 0.70y. If the selling price is also Rs. 4000,
0.70y = 4000
y = Rs. 5714.29 (Cost price of the second cycle).
Add the cost prices of both cycles: Rs. 3076.92 (first cycle) + Rs. 5714.29 (second cycle) = Rs. 8791.21 (Total cost price).
The total selling price for both cycles is: Rs. 4000 (first cycle) + Rs. 4000 (second cycle) = Rs. 8000.
The net result is the total selling price minus the total cost price: Rs. 8000 - Rs. 8791.21 = Rs. -791.21.
Thus, Rajesh incurred a total loss of Rs. 791.21 in both deals, which does not match any of the given options (a) Rs. 1200 profit (b) Rs. 1200 loss (c) Rs. 2400 profit (d) Rs. 2400 loss. Therefore, the correct option is not listed.