Question

a fruit seller bought bananas at the rate of 3 for rupees 8 and sold them at the rate of 2 for rupees 7 .find his gain or loss percent

Answer 1

According To Question,

• Seller brought 3 bananas at ₹ 8    (i)

• He Sold 2 bananas for ₹ 7    (ii)

In Equation, (1)

⇒ 3 bananas = ₹ 8

∴ 1 banana = $\bold{\frac{8}{3}}$

∴ Cost Price of 1 banana = $\bold{\frac{8}{3}}$

In Equation, (2)

⇒ 2 bananas = ₹ 7

∴ 1 banana = $\bold{\frac{7}{2}}$

∴ Selling Price of 1 banana = $\bold{\frac{7}{2}}$

Q. Did fruit seller had a Gain or Loss?

A. Since, Selling Price > Cost Price,

It was a Gain.

Q. To Find Gain percent?

A. $\bold{Gain \% Formula\:=\:\frac{Gain}{Cost\:Price}\:\times100}$

$\implies\bold{Gain \% Formula\:=\:\frac{Gain}{Cost\:Price}\:\times100}$

Gain = Selling Price - Cost Price

        = $\bold{\frac{7}{2}}\:-\:\frac{8}{3}$

        =$\bold{\frac{7\times3}{2\times3}}\:-\:\frac{8\times2}{3\times2}$

        = $\bold{\frac{21}{6}}\:-\:\frac{16}{6}$

        = $\bold{\frac{21-16}{6}}$

        = $\bold{\frac{21-16}{6}}$

        = $\bold{\frac{5}{6}}$

Putting this value of Gain in formula,

$\implies\bold{Gain \% Formula\:=\:\frac{Gain}{Cost\:Price}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{\frac{5}{6}}{\frac{8}{3}}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{5}{6}\times\frac{3}{8}}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{5}{\cancel{6}_\:\:2}\times\frac{\cancel{3}^\:\:1}{8}}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{5}{2}\times\frac{1}{8}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{5\times1}{2\times8}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{5}{16}\:\times100}$

$\implies\bold{Gain \%\:=\:\frac{5\times100}{16}}$

$\implies\bold{Gain \%\:=\:\frac{500}{16}}$

= 31.25% was his gain percent

Answer 2

Answer:

$\bf{\huge{\underline{\boxed{\tt{\blue{Answer:-}}}}}}$

$\underline{According\: To\: Question,}$

Seller brought 3 bananas at ₹ 8    (i)

He Sold 2 bananas for ₹ 7    (ii)

Selling price of 1 banana is 7/2

In Equation, (1)

⇒ Gain = 7/2 - 8/3

Solving equation

21 -16/6 = 5/6

Percentage of gain (%)

= 5/6 × 100

Solving equation

5 × 100 × 3 / 6 ×8

$\boxed{Now , }$

5 × 25 / 2× 2 % = 125 / 4

$\bf{\huge{\underline{\boxed{\tt{\blue{=31.1/4}}}}}}$

= 31.25% was his gain percent