Question

Mayank buys a washing machine for rs 6800 For how much should he sell it so as (a) gain 10% (b) loss 5%

Answer 1

GIVEN :-

• Mayank buys a machine for Rs. 6800.

TO FIND :-

• The selling price at gain of 10%.
• The selling price at loss of 5%.

SOLUTION :-

✭ When loss of 5%,

➟ Selling price = Cost price × (100 - loss%)/100

➟ Selling price = 6800 × (100 - 5)/100

➟ Selling price = 6800 × 95/100

➟ Selling price = 68 × 95.

➟ Selling price = Rs. 6460

$\rule{250}{3}$

✭ When profit of 10%,

⇢ Selling price = Cost price × (100 + gain%)/100

⇢ Selling price = 6800 × (100 + 10)/100

⇢ Selling price = 6800 × 110/100

⇢ Selling price = 68 × 110

⇢ Selling price = Rs. 7480

Hence selling price is 7480 (at 10% gain) and 6460 (at 5% loss).

Answer 2

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

• Mayank buys a washing machine for Rs.6800 .

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

• The selling price at

1. Gain 10% .
2. Loss 5% .

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

✞︎ It is given that,

• Cost price of washing machine ($\bf\red{C.P}$) = Rs.6800

(a) Selling price of washing machine as to gain 10% on it is,

$\orange\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{S.P\:=\:C.P\:+\:10\%\:of\:C.P\:}}}}}$

$\rm{:\implies\:S.P\:=\:6800\:+\:6800\times{\dfrac{10}{100}}\:}$

$\rm{:\implies\:S.P\:=\:6800\:+\:680\:}$

$\bf\green{:\implies\:S.P\:=\:Rs.7480\:}$

$\huge\red\therefore$ The selling price of washing machine after 10% of gain is "Rs.7480" .

(b) Selling price of washing machine as to loss 5% on it is,

$\green\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{S.P\:=\:C.P\:-\:5\%\:of\:C.P\:}}}}}$

$\rm{:\implies\:S.P\:=\:6800\:-\:6800\times{\dfrac{5}{100}}\:}$

$\rm{:\implies\:S.P\:=\:6800\:+\:340\:}$

$\bf\green{:\implies\:S.P\:=\:Rs.6460\:}$

$\huge\red\therefore$ The selling price of washing machine after 5% of loss is "Rs. 6460" .