shopkeeper bought 60 erasers for rs 50 how many erasers should he sell for 50 rs in order to earn a profit of 20 %
Answers
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QUESTION :-
shopkeeper bought 60 erasers for rs 50 how many erasers should he sell for 50 rs in order to earn a profit of 20 %
ANSWER :-
By selling a pen gain is Rs.2
and by selling a pencils, he loses 50 paise
and an eraser, he loses 15 paise
On one day, he gain =Rs.10
On that day he sold 10 pens and pencils and erasers in the ratio of 7:10
On ten pens, his gain =10×2=Rs.20
loss on pencils and erasers =Rs.20−Rs.10=Rs.10=1000 paise
Ratio in pencil and eraser =7:10
Let number of pencils =7x, then eraser =10x
7x×50+10x×15=1000
⇒350x+150x=1000
⇒500x=1000
⇒x=2
Numbe rof penciles =7×2=14
and number of erasers =10×2=20
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Concept:
Profit (P) is the money made when a product is sold for more than what it costs to produce.
Loss(L)
A loss is defined as the sum the seller experiences after selling the good for less than its cost.
Cost Price (CP)
Cost price refers to the price paid to purchase a good or commodity. Denoted as CP as well. This cost price is divided into two more categories:
Fixed Cost: Under any conditions, the fixed cost remains constant.
Variable Cost: It may change depending on the quantity purchased and other elements.
Selling price (SP)
The selling price is the price at which a product is sold. Typically, it is identified as SP. also known as a sale price on occasion.
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
Profit percentage (P%) = (Profit /Cost Price) x 100
Loss percentage (L%) = (Loss / Cost price) x 100
Given:
Shopkeeper bought 60 erasers for rs 50
Find:
How many erasers should he sell for 50 rs in order to earn a profit of 20 %
Solution:
Total investment = Rs 50 x 60
=Rs 3000
20% of 300= 20/100 x 3000
=600
Let the no. of erasers needed to sold to earn a profit of 20% be x
As per question,
50x-3000 = 600
50x=3600
x=72
Therefore, 72 erasers he should sell for 50 rs in order to earn a profit of 20 %
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