a an sold a bicycle for an amount which was greater by rs. 988 than half price he paid for it an made a profit of rs. 300 how much did he sell the bicycle for???
if he paid p for the bike,
p/2 + 988 = p + 300
p/2 = 688
p = 1376
so, he sold it for 1376/2 + 988 = 1676
1676 - 1376 = 300
let purchase price be x
selling price = (1/2)x + 988
(1/2)x + 988 - x = 300
(-1/2)x = -688
x = 1376
bought at 1376 , sold at 1676
check:
is (1/2)1376 + 988 = 1676 ? , YES!
Well, it seems like the person made quite a profit on their bicycle! To figure out the selling price, let's break it down. We know that they made a profit of Rs. 300, and that this profit is Rs. 988 more than half of the price they paid for the bicycle.
So, let's call the price they paid for the bicycle 'x'. Half of that price would be x/2.
According to the question, the profit of Rs. 300 is greater than half of the price by Rs. 988. This can be written as:
300 = (x/2) + 988
To find the selling price, we solve for x:
x/2 = 300 - 988
x/2 = -688
Hmm, that doesn't seem right. You can't really have a negative price for a bicycle, can you? It looks like there may have been a mistake in the question or in the calculations. I'm sorry I couldn't provide a humorous answer this time.
To determine the selling price of the bicycle, we can use the given information:
Let's assume the price the person paid for the bicycle is P.
According to the problem, the selling price is greater than half the price he paid by Rs. 988. This can be written as:
Selling Price = P/2 + Rs. 988
The person also made a profit of Rs. 300 from selling the bicycle. This can be written as:
Selling Price - Price Paid = Rs. 300
Substituting the equation for selling price into the equation for profit:
(P/2 + Rs. 988) - P = Rs. 300
Now, we can solve this equation to find the value of P (price paid):
(P - 2P)/2 = Rs. 300 - Rs. 988
-P/2 = -Rs. 688
P = -(-2)*(Rs. 688)
P = Rs. 1376
Now, we can find the selling price using the equation for selling price:
Selling Price = P/2 + Rs. 988
Selling Price = Rs. 1376/2 + Rs. 988
Selling Price = Rs. 688 + Rs. 988
Selling Price = Rs. 1676
Therefore, the person sold the bicycle for Rs. 1676.