Question

solve it with full explanation
children of class 7 prepaired candles 150 rupees on wax and 8.50 paise on trade the expenditure on coloured paper for packing was 12. 50 paise spent 9 rupees on silver powder chamki. they earned 40% profit if they sold half the candles at 50% profit at what profit percent did they sell the other​

Answer 1

Correct Question :

Children of class 7 prepared candles. They spent 150 rupees on wax and Rupees 8.50 on thread. the expenditure on coloured paper for packing was Rupees 12. 50. They spent 9 rupees on silver powder chamki. They earned 40% profit. If they sold half the candles at 50% profit at what profit percent did they sell the other?

Solution :

• Cost of Wax = Rs 150

• Cost of Thread = Rs 8.5

• Cost of coloured Papers = Rs 12.5

• Cost of Silver Powder = Rs 9

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$\sf \: Total \: Cost = Rs \: 150 + 8.5 + 12.5 + 9$

$\sf \: Total \: Cost = Rs \: 180$

Price of Half of the Candles :

$\star \sf \: Half \: Price = \dfrac{Total \: Price}{2}$

$\longrightarrow \sf \cancel \dfrac{180}{2}$

$\longrightarrow \sf Rs \: 90$

Given,They sold Half the Candles at 50% Profit.

$\sf \longrightarrow 50\% \: of \: 90$

$\sf \longrightarrow \cancel\dfrac{50}{100} \times \: 90$

$\sf \longrightarrow \dfrac{1}{2} \times \: 90$

$\sf \longrightarrow \cancel\dfrac{90}{2}$

$\longrightarrow \sf Rs \: 45$

Given,They sold Total Candle at 40% Profit.

$\sf \longrightarrow 40\% \: of \: 180$

$\sf \longrightarrow \cancel\dfrac{40}{100} \times \: 180$

$\sf \longrightarrow \dfrac{2}{5} \times \: 180$

$\sf \longrightarrow \cancel\dfrac{360}{5}$

$\longrightarrow \sf Rs \: 72$

Actual Profit on Other Half :

$\longrightarrow \sf \: Rs(72 - 45)$

$\longrightarrow \sf \: Rs \: 27$

Actual Profit % on Other Half.

$\bigstar \large \boxed{ \purple{ \sf \: Profit \% = (\frac{Profit}{Cost \: Price}) \times 100}}$

$\longrightarrow \sf \: \dfrac{27}{90} \times 100$

$\longrightarrow \sf \dfrac{270 \cancel0}{9 \cancel0}$

$\longrightarrow \sf \cancel\dfrac{270}{9}$

$\longrightarrow \sf \red{30\%}$

Hence,Profit % on other Half is 30%

Answer 2

Answer:

Cost Of:-

• Wax = ₹150  

• Thread = ₹8.5

• Coloured Papers = ₹12.5  

• Silver Powder = ₹9

Total cost of the articles = ₹150 + ₹8.5 + ₹12.5 + ₹9 = ₹180

Half Price of candles = $\frac{Total Price}{2}$ = $\frac{180}{2}$ = 90

Half of the candles at 50% Profit = $\frac{50}{100}$ × 90 = ₹45

Total Candles at 40% Profit = $\frac{40}{100}$ × 180 = ₹72

Actual Profit:-

72 - 45 = ₹27

Profit Percentage = $\frac{Profit}{Cost Price}$ × 100 = $\frac{27}{90}$ × 100 = 30

Hence Profit = 30%

$\mathcal{ BE \: BRAINLY }$_________________________________________________________