Question

a man sold two bicycles for ₹6000 each, gaining 20% on one and losing 20% on the other. find gain or loss percent on the whole transaction

Answer 1

Given :-

• A man sold 2 bicycles for ₹6000
• Gaining 20% on one bicycle and losing 20% on the other bicycle .
• Gain or loss percent = ?

Solution :-

Gain percent = 20%

Loss percent = 20%

✤ Here gain and loss percentages are equal , so 20 - 20 = 0 % profit . So their will no profit .

Hence , there will be no profit or gain in the whole transaction .

Answer 2

Answer :-

$\pink{\bigstar}$ There is no gain or loss % on the whole transaction!

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Explanation :

• Given :-

• A man sold two bicycles for ₹6,000.

• Gaining 20% on one and losing 20% on the other.

• To Find :-

• Gain or loss % on the whole transaction.

• Solution :-

$\quad\small{\bf{\dag\:{\underline{In\: 1^{st} \:case\::}}}}$

➪ㅤ $\sf Profit = 20\% \:of \:6000$

➪ㅤ $\sf Profit = \dfrac{20}{100} \:\times\:6000$

➪ㅤ $\sf Profit = \dfrac{20}{1\cancel{00}} \:\times\:60\cancel{00}$

➪ㅤ $\sf Profit = 20\:\times\:60$

$\bigstar\quad\underline{\underline{\bf{\red{ Profit = Rs.\:1,200}}}}$

$\quad\small{\bf{\dag\:{\underline{In\: 2^{nd} \:case\::}}}}$

➪ ㅤ$\sf Loss = 20\% \:of \:6000$

➪ ㅤ$\sf Loss = \dfrac{20}{100} \:\times\:6000$

➪ㅤ $\sf Loss = \dfrac{20}{1\cancel{00}} \:\times\:60\cancel{00}$

➪ㅤ $\sf Loss = 20\:\times\:60$

$\bigstar\quad\underline{\underline{\bf{\red{ Loss = Rs.\:1,200}}}}$

• Since, in both cases value of profit and loss are same. Hence, there is no gain or loss % on the whole transaction.

• More to know :-

$\bigstar\:{\underline{\sf{Profit\:and\:loss\:formulas\::-}}}$

$\pink{\bigstar}$ $\sf Profit\:\leadsto\:\boxed{\bf{\blue{S.P - C.P}}}$

$\pink{\bigstar}$ $\sf Loss\:\leadsto\:\boxed{\bf{\blue{C.P - S.P}}}$

$\pink{\bigstar}$ $\sf Profit\%\:\leadsto\:\boxed{\bf{\blue{ \dfrac{Profit\:\times\:100}{C.P}}}}$

$\pink{\bigstar}$ $\sf Loss\%\:\leadsto\:\boxed{\bf{\blue{ \dfrac{Loss\:\times\:100}{C.P}}}}$

$\pink{\bigstar}$ $\sf S.P\:\leadsto\:\boxed{\bf{\blue{\bigg\lgroup \dfrac{100 + Profit\%}{100}\bigg\rgroup\:\times\:C.P}}}$

$\pink{\bigstar}$ $\sf S.P\:\leadsto\:\boxed{\bf{\blue{\bigg\lgroup \dfrac{100 - Loss\%}{100}\bigg\rgroup\:\times\:C.P}}}$

$\pink{\bigstar}$ $\sf C.P\:\leadsto\:\boxed{\bf{\blue{\bigg\lgroup \dfrac{100}{100 + Profit\%}\bigg\rgroup\:\times\:S.P}}}$

$\pink{\bigstar}$ $\sf C.P\:\leadsto\:\boxed{\bf{\blue{\bigg\lgroup \dfrac{100}{100 - Loss\%}\bigg\rgroup\:\times\:S.P}}}$

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