Question

Raju bought an old bike for 18,000 and spent 2500 on its repairing. Then he sold it
for 25,000. Find his gain or loss.​

Answer 1

Answer:

Step-by-step explanation:

old bine cost = 18,000

cost spent by him to repair it =2500

total cost spent =2500+18000=20500

profit =25000-20500=4500

Answer 2

Given Information:

• Purchasing price of bike = Rs 18,000

• Overheads (Repairing price) = Rs 2500

• Selling Price of bike = Rs 25,000

To calculate:

• Gain or Loss

★ Procedure:

Here, as we are given purchasing price and overheads , so both'll be included in total cost price. Hence, the sum of purchasing price and overheads will be cost price.

Then we'll analyse which one is greater, SP or CP. If SP will be greater, then there is profit. If CP will be greater, then there is loss.

Then by the formula of loss or profit , we'll find his gain or loss.

Calculation:

$\sf {\longrightarrow Total \: CP = Purchasing \: Price + Overheads} \\ \\ \\ \sf {\longrightarrow Total \: CP = Rs \: ( 18,000+2500 ) } \\ \\ \\ \sf {\longrightarrow Total \: CP = Rs \: 20500 \: \purple{\bigstar} }$

So, the total cost price is Rs 20500.

As here is,

• Selling Price > Cost Price

→ Rs 25000 > Rs 20500

So, here is gain.

~ Calculating gain:

$\sf {\star \boxed{\sf{Gain = SP - CP}}} \\ \\ \\ \sf{\longrightarrow Gain = Rs \: (25000-20500) } \\ \\ \\ \longrightarrow \underline{\boxed{\sf{Gain = Rs \: 4500}}} \: \red{\bigstar}$

Therefore,

• His gain is Rs 4500.

______________________________

$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$