Question

a dealer purchased 250 bulbs for 10rs each however 12 bulbs got fused which she had top throw away she sold the remaining bulbs at 12rs each find her gain or loss percent.​

Answer 1

She purchased 250 bulbs for 10 each = 250×10 =2500

she had thrown away 12 bulbs that were fused

250-12 = 238

She sold the remaining bulbs at 12rs each 238×12 = 2856

Her profit % = you have to calculate

Answer 2

$\color{grey}\underline{ \rm \large \: \:Question :- }$

a dealer purchased 250 bulbs for 10rs each however 12 bulbs got fused which she had top throw away she sold the remaining bulbs at 12rs each find her gain or loss percent.

⠀

$\color{grey}\underline{ \rm \large \: \: Given :- }$

⠀

• No. of bulbs purchased by the dealer = 250 bulbs

• Cost of each bulb = 10 rs

• No. of bulb get fused = 12 bulbs

• Now , the present cost of bulbs = 12 rs

⠀

$\color{grey}\underline{ \rm \large \: \: To \: Find :- }$

⠀

• Her gain or loss percent

⠀

$\color{grey}\underline{ \rm \large \: \: Formula \: Used:- }$

⠀

$\: \: \: \: \boxed{ \blue{ \sf \star \: \: profit = selling \: price - cost \: price}}$

$\: \: \: \: \boxed{ \blue{ \sf \star \: \: profit\% = \left[\dfrac{profit}{cost \: price} \right] \times 100}}$

⠀

$\color{grey}\underline{ \rm \large \: \: Step \: By \: Step \: Solution:- }$

We know that ,

• Cost price of each bulb = 10 rs
• then , Cost price of 250 bulbs = 250 × 10 = 2500

• No. of bulb get fused = 12 bulbs
• So number of bulbs which is not fused = 250 - 12 = 238 bulbs

• Now , the present cost of bulbs = 12 rs
• So , cost of 238 bulbs = 238 × 12 = 2856 rs

Let's compare Cost price with selling price !

2500 < 2856 , Cost price < Selling price

Therefore , Profit !

Let's find the profit and profit percent

In order to find the profit and profit percent we need to apply the formula

Profit =

${ \sf:\longrightarrow \: \: profit = selling \: price - cost \: price}$

${ \sf:\longrightarrow \: \: profit = 2856 - 2500}$

${ \sf:\Longrightarrow \: \: profit = rs \: 356}$

⠀

Profit% =

${ \sf :\longrightarrow \: \: profit\% = \left[\dfrac{profit}{cost \: price} \right] \times 100}$

${ \sf :\longrightarrow \: \: profit\% = \left[\dfrac{356}{2500} \right] \times 100}$

${ \sf :\longrightarrow \: \: profit\% = \left[\dfrac{356}{25} \right] }$

${ \sf :\Longrightarrow \: \: profit\% = 14.24\%}$

⠀

$\color{grey}\underline{ \rm \large \: \: Answer:- }$

⠀

gain% = 14.24 %