Leela sold her old necklace at a profit of 7% of she sold it for 294 more she would have got 10% profit. Find the cp
Answers
Answer:
cp will 9800
let cp be 100 sp =107(7%of cp)
new sp=110(10%of cp)
difference=3
3=294
98*100
Answer:
The cost price of the necklace is Rs. 9800.
Step-by-step-explanation:
We have given that,
- Profit % = 7
Let the cost price be Rs x and initial selling price be SP₁.
We know that,
Profit % = ( Profit / Cost price ) * 100
⇒ 7 = [ ( Selling price - Cost price ) / Cost price ] * 100
⇒ 7 = [ ( SP₁ - x ) / x ] * 100
⇒ 7x = 100 ( SP₁ - x )
⇒ 100SP₁ - 100x = 7x
⇒ 100SP₁ = 7x + 100x
⇒ 100SP₁ = 107x
⇒ SP₁ = 107x / 100
From the given condition,
If the necklace was sold for Rs 294 more, the profit % would be 10.
Let the new selling price be SP₂.
Profit % = ( Profit / Cost price ) * 100
⇒ 10 = [ ( Selling price - Cost price ) / Cost price ] * 100
⇒ 10 = [ ( SP₂ - x ) / x ] * 100
⇒ 10x = 100 ( SP₂ - x )
⇒ 100SP₂ - 100x = 10x
⇒ 100SP₂ = 10x + 100x
⇒ 100SP₂ = 110x
⇒ SP₂ = 110x / 100
The difference between new selling price and initial selling price is 294.
∴ SP₂ - SP₁ = 294
⇒ ( 110x / 100 ) - ( 107x / 100 ) = 294
⇒ ( 110x - 107x ) / 100 = 294
⇒ 3x = 294 * 100
⇒ x = 294 * 100 / 3
⇒ x = 294 ÷ 3 * 100
⇒ x = 98 * 100
⇒ x = 9800
∴ The cost price of the necklace is Rs. 9800.