Question

Sachin bought two hockey sticks for * 560 and
*240 respectively. He sells the first stick at a
gain of 15% and the second one at a loss of 5%. Find
his gain or loss per cent on the whole transaction?
​

Answer 1

✬ Profit % = 9 % ✬

Step-by-step explanation:

Given:

• C.P of two hockey sticks is Rs 560 & 240 respectively.
• He sells first stick are gain of 15% and second at loss of 5 %.

To Find:

• His profit or loss in whole transaction ?

Solution: First of all let's find the S.P of first stick. To find S.P when C.P and profit % are given we use the following formula

★ S.P = 100 + Profit%/100 × C.P ★

➟ S.P = 100 + 15/100 × 560

➟ S.P = 115 × 5.6

➟ S.P = 644

Now on the second hockey stick he suffers a loss of 5 %

★ S.P = 100 – Loss %/100 × C.P

➟ S.P = 100 – 5/100 × 240

➟ S.P = 95 × 2.4

➟ S.P = 228

Total C.P = Rs (560 + 240) = 800

Total S.P = Rs (644 + 228) = 872

Here we can observe

• S.P > C.P { Here is a profit }

★ Profit = S.P – C.P ★

Profit = 872 – 800 = 72

★ Profit % = Profit /C.P × 100 ★

Profit % = 72/800 × 100

=> 72/8 = 9 %

Hence, his profit percent on whole transaction is 9%.

Answer 2

$\bf{\gray{\underbrace{\blue{GIVEN:-}}}}$

• Sachin brought two hockey sticks for Rs.560 and Rs.240 respectively .

• He sells, the first stick at a gain of 15% and the second stick a loss of 5% .

$\bf{\gray{\underbrace{\blue{TO\:FIND:-}}}}$

• His gain or loss percentage on the whole transaction .

$\bf{\gray{\underbrace{\blue{SOLUTION:-}}}}$

For First hockey stick :-

$\orange\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{S.P\:=\:\dfrac{100\:+\:Profit\%}{100}\times{C.P}\:}}}}}$

where,

• $\bf\red{C.P}$ = Rs.560

• $\bf\red{Profit\%}$ = 15%

$\rm{:\implies\:S.P\:=\:\dfrac{100\:+\:15}{100}\times{560}\:}$

$\rm{:\implies\:S.P\:=\:115\times{5.6}\:}$

$\bf\green{:\implies\:S.P\:=\:Rs.644\:}$

For Second hockey stick :-

$\green\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{S.P\:=\:\dfrac{100\:-\:Loss\%}{100}\times{C.P}\:}}}}}$

Where,

• $\bf\red{C.P}$ = Rs.240

• $\bf\red{Loss\%}$ = 5%

$\rm{:\implies\:S.P\:=\:\dfrac{100\:-\:5}{100}\times{240}\:}$

$\rm{:\implies\:S.P\:=\:95\times{2.4}\:}$

$\bf\green{:\implies\:S.P\:=\:Rs.228\:}$

$\red\therefore$ Total C.P = Rs.560 + Rs.240 = Rs.800

$\red\therefore$ Total S.P = Rs.644 + Rs.228 = Rs.872

Hence,

• $\bf\pink{S.P\:>\:C.P}$

• So, here profit is happened .

$\pink\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{Profit\:=\:S.P\:-\:C.P\:}}}}}$

Profit = 872 - 800

Profit = Rs.72

$\blue\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{Profit\%\:=\:\dfrac{Profit}{C.P}\times{100}\:}}}}}$

$\rm{:\implies\:Profit\%\:=\:\dfrac{72}{800}\times{100}\:}$

$\rm{:\implies\:Profit\%\:=\:\dfrac{72}{8}\:}$

$\bf\red{:\implies\:Profit\%\:=\:9\%\:}$

$\bf\therefore$ His gain percentage on whole transaction is "9%" .