Question

Raavi sold her scooty to Vineeta at a loss of 28%. Vineeta spent Rs 1680 on its polishing and sold the scooty to Rahila for Rs 35910, thereby making a profit of 12.5%, find the cost price of the scooty for Raavi.​

Answer 1

★ Given:-

▪︎Loss% made by Ravi on scooty = 28%

▪︎Money spent by Vineeta on scooty = Rs.1680

▪︎S.P. of scooty which is sold by Vineeta = Rs.35910

▪︎Profit % made by Vineeta = 12.5 %

★ To Find:-

▪︎Cost price of scooty for Raavi

★ Formula Used:-

▪︎S.P. when Loss% is given

= [ (100 - Loss%) ÷ 100] × C.P.

▪︎S.P. when Profit % is given

= [ (100 + Profit%) ÷ 100] × C.P.

Here,

• S.P. = Selling Price
• C.P. = Cost Price

★ Solution:-

➥ Let the C.P. of scooty for Raavi be Rs.x

➥ S.P. of scooty for raavi

= [ (100 - Loss%) ÷ 100] × C.P.

= [ (100 - 28) ÷ 100 ] × x

= [ 72 ÷ 100 ] × x

= 0.72 × x

= Rs.0.72x

➥ Total C.P. of scooty for Vineeta

= S.P. for Raavi + Money spent

= 0.72x + 1680

➥ According to given conditions;

S.P. of scooty for Vineeta = Rs. 35910

➟ [ (100 + Profit %) ÷ 100] × C.P. = Rs. 35910

➟ [ (100 + 12.5%) ÷ 100 ] × (0.72x+1680) = Rs. 35910

➟ [112.5 ÷ 100] × (0.72x + 1680) = 35910

➟ 1.125 × (0.72x + 1680) = 35910

➟ 0.81x + 1890= 35910

➟ 0.81x = 35910 - 1890

➟ x = 34020 - 0.81

➟ x = 42,000

∴ x = C.P. of scooty for Raavi = Rs.42000

★ Answer:-

▪︎C.P. of scooty for Raavi is Rs. 42000.

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Answer 2

$\huge \sf{ \underline{ \underline{Given:-}}}$

• Loss% by Ravi on scooty = 28%
• Money spent by Vineeta on scooty = Rs.1680
• S.P. of scooty which is sold by Vineeta = Rs.35910
• Profit % by Vineeta = 12.5 %

$\huge \sf{ \underline{ \underline{ \red{To \: Find:-}}}}$

• Cost price of scooty for Raavi

Formulas we will use here:-

• S.P. when Loss% is given

$\sf \: = [ (100 - Loss\%) ÷ 100] × C.P.$

• S.P. when Profit % is given

$\sf= [ (100 + Profit\%) ÷ 100] × C.P.$

$\huge \sf{ \underline{ \underline{Solution:-}}}$

• Let the C.P. of scooty for Raavi be Rs.x

S.P. of scooty for raavi

= [ (100 - Loss%) ÷ 100] × C.P.

= [ (100 - 28) ÷ 100 ] × x

= [ 72 ÷ 100 ] × x

= 0.72 × x

= Rs.0.72x

• Total C.P. of scooty for Vineeta

= S.P. for Raavi + Money spent

= 0.72x + 1680

According to Question:-

S.P. of scooty for Vineeta = Rs. 35910

$\rightarrow\sf \:[ (100 + Profit \%) ÷ 100] × C.P. = Rs. 35910$

$\sf \: [ (100 + 12.5\%) ÷ 100 ] × (0.72x+1680) = Rs. 35910$

⇒ [112.5 ÷ 100] × (0.72x + 1680) = 35910

⇒ 1.125 × (0.72x + 1680) = 35910

⇒ 0.81x + 1890= 35910

⇒ 0.81x = 35910 - 1890

⇒ x = 34020 - 0.81

⇒ x = 42,000

$\sf \: ∴ x = C.P. of \: scooty \: for \: Raavi = Rs.42000$

• C.P. of scooty for Raavi is Rs. 42000.