Question

A tricycle was sold data profit
of 12%. However Had it been sold for Rs. 33 more, the gain would have been 14% find the cost price of the tricycle.

​

Answer 1

$\sf\large\underline{Let:}$

$\rm{\implies The\:Cost\:price\:_{(tricycle)}=x}$

$\sf\large\underline{To\: Find:}$

$\rm{\implies The\:Cost\:price\:_{(tricycle)}=?}$

$\sf\large\underline{Solution:}$

• At first calculate calculate selling price in both condition which is given in the question]

$\sf\small\underline{For\:1st\:condition:}$

$\tt{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100+12}{100}\times\:x}$

$\tt{\implies SP=\dfrac{112x}{100}}$

• It had been sold for Rs.33 more so,

$\tt{\implies SP=\dfrac{112x}{100}+33}$

$\sf\small\underline{For\:2nd\:condition:}$

$\tt{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100+14}{100}\times\:x}$

$\tt{\implies SP=\dfrac{114}{100}\times\:x}$

$\tt{\implies SP=\dfrac{114x}{100}}$

• Now calculate the CP of tricycle here]
• Putting together sp¹ and sp² here]

$\tt{\implies SP_{2}=SP_{1}}$

$\tt{\implies \dfrac{114x}{100}=\dfrac{112x}{100}+33}$

$\tt{\implies \dfrac{114x}{100}-\dfrac{112x}{100}=33}$

$\tt{\implies \dfrac{114x-112x}{100}=33}$

$\tt{\implies \dfrac{2x}{100}=33}$

$\tt{\implies 2x=3300}$

$\tt{\implies x=Rs.1650}$

$\sf\large{Hence,}$

$\bf{\implies The\:Cost\:price\:_{(tricycle)}=Rs.1650}$

Answer 2

Let

cost price of Tricycle be x

Solution

using formula first

sp=100+g%/cp(100)

$= > \frac{114x}{100} = \frac{112x}{100} + 33 \\ \\ = > \frac{114x - 112x}{100} = 33 \\ \\ = > \frac{2x}{100} = 33 \\ \\ = > \frac{x}{50} = 33 \\ \\ = > x = 1650$

$\sf\large{\implies \therefore\:Cost\: price=Rs.1650}$