Question

A man buys toffees at 10 for Rs. 3 and sells them at 8 for Rs. 3 , find his gain per cent​

Answer 1

$\sf \Large Solution!!$

The concept of profit and loss has to be used here. The cost price (CP) and selling price (SP) of something is given in the question. It is already written that we have to find the gain/profit percentage. So, it means that the man has made a profit. Let's do it!!

CP of 10 toffees = Rs 3

CP of 1 toffee = Rs 3 ÷ 10 = Rs 0.300

SP of 8 toffees = Rs 3

SP of 1 toffee = Rs 3 ÷ 8 = Rs 0.375

SP of 1 toffee > CP of 1 toffee

★ If selling price (SP) is greater than cost price (CP), then it is a profit.

Profit = SP - CP

Profit = Rs 0.375 - Rs 0.300

Profit = Rs 0.075

Now, as we know the profit, we can easily find out the profit percentage too. Let's find it out!!

Profit % = $\sf \dfrac{Profit}{CP}\times 100$

Profit % = $\sf \dfrac{0.075}{0.300}\times 100$

Profit % = 25 %

FYI, just remember some formulae and then each question will be a piece of cake. If you don't understand then ask for guidance.

Answer 2

$\mathtt{ \underline{ \underline{ \large{Concept \: used }}}}$

Here the concept of profit and loss is used. The C.P and S.p of the toffees are given. First we will find that S.p and C.p of 1 toffee then we will find that profit and calculate the gain percentage using the formula.

$\mathtt{\underline{\underline{\large{Formula\: used}}}}$

$\sf{1.\: profit = S.p -C.P} \\ \\ \sf{2. \: gain\%= \frac{ P}{C.p} × 100 \%}$

where

• C.p denotes cost price
• S.p denotes selling price
• P denotes profit

$\mathtt{ \underline{ \underline{ \large{Solution}}}}$

$\mathtt{ \to Cost \: price \: of \: 10 \: toffees = \color{red}Rs. \: 3} \\ \\ \mathtt{ \to Cost \: price \: of \: 1 \: toffee = \frac{3}{10} = \color{red} Rs. \: 0.3 }$

$\mathtt{ \to Selling \: price \: of \: 8 \: toffees = \color{green}Rs. \: 3 } \\ \\ \mathtt{ \to selling \: price \: of \: 1 \: toffee = \frac{3}{8} = \color{green}Rs. 0.375}$

We observe that the selling price is greater than the cost price.

when

• SP > CP then it's profit.

Calculation of profit -

${\underline{ \boxed{ \sf\color{grey}{Profit = selling \: price- cost \: price }}}}$

$\sf{\implies Profit=0.375 - 0.3}\\ \\\sf{\implies profit =\color{orange}0.075}</p><p>$

Now we will calculate the gain %

${ \underline{ \boxed {\sf{ \color{pink}{ gain \% = \frac{P}{C.p} \times 100\%}}}}}$

$\sf{\implies gain\% =\frac{ 0.075}{0.3}× 100 \%}\\ \\ \sf{\implies gain\% = 0.25 × 100 \% } \\ \\ \sf{\implies \color{purple}gain \% = 25\%}$

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