Question

Ram bought two bikes for Rs. 35,000 each. On selling one bike he made a profit of 5% and on another a loss of 10%, find his overall profit or loss.​

Answer 1

Given:-

bought 2 bikes for Rs 35,000 each

Sold 1 at a loss of 10% and another one at a profit of 5%.

Let's take the case of the bike in which he got 5% profit first.

we've to find 5% of 35,000

and add the real price with it

therefore the equation is

$( \frac{5}{100} \times 35000) + 35000 \\ = 1750 + 35000 \\ = 36750$

therefore his profit is Rs 1,750 and The amount he got is Rs 36,750

Now taking the case of the second bike for 10% loss

same like the first one,here

we've to find 10% of 35000

but I don't think equation is needed here

as we know 5% is 1750

then 10% is 2×1750

2×1750=3500

and now here he faced a loss,thus we've to subtract

= 35000-3500

=31500

therefore his loss is Rs 3,500 and money he left after the loss for the bike is Rs 31,500

And now we've to find the overall profit/loss

From both cases,clear that he bought 2 bikes for a total of Rs 70,000

and he got 1750

and he lost 3500

3500-1750=1750

therefore his loss is Rs 1750

finding what % of 70000 is 1750

making an equation from the data

that is

$\frac{x}{100} \times 70000 = 1750$

$x \times 700 = 1750 \\ 700x = 1750 \\ x = \frac{1750}{700} = \frac{175}{70} \\ x = 2.5$

Thus 2.5% of Rs 70,000 is Rs 1,750

therefore his Overall Loss is 2.5%

Answer 2

Given data:

Ram bought two bikes for Rs. 35000 each.

On selling one, he made a profit of 5% and on another, a loss of 10%.

To find:

His overall profit or loss

Step-by-step explanation:

Step 1. finding the selling price of the first bike

Cost price = Rs. 35000

Profit = 5%

Then selling price

= Rs. 35000 (1 + 5/100)

= Rs. 36750

Step 2. finding the selling price of the second price

Cost price = Rs. 35000

Loss = 10%

Then selling price

= Rs. 35000 (1 - 10/100)

= Rs. 31500

Step 3. finding total cost price and total selling price

Total cost price of two bikes

= Rs. 2 × 35000

= Rs. 70000

and total selling price of two bikes

= Rs. (36750 + 31500)

= Rs. 68250

Step 4. finding overall profit or loss

Since, total selling price < total cost price, then selling the two bikes was a loss for Ram.

Here, amount of loss

= total cost price - total selling price

= Rs. (70000 - 68250)

= Rs. 1750

Step 5. finding overall loss percentage

Hence loss percentage

= loss / cost price × 100 %

= 1750/70000 × 100 %

= 2.5 %

Final answer:

His overall loss 2.5%, an amount of Rs. 1750.