Question

Raghav sold to almari for 12000 on one he gains 20% and on the other He loses 20% what is his gain or loss percent on the whole transaction​

Answer 1

Step-by-step explanation:

Selling price of each almari : ₹6,000

When it is 20% Profit :

$\implies$ $CP={\Large\frac{100}{100+P}}×SP$

$\implies$ $CP={\Large\frac{100}{120}}×6,000$

$\implies$ $\boxed{CP=5000}$

When it is 20% Loss :

$\implies$ $CP={\Large\frac{100}{100-L}}×SP$

$\implies$ $CP={\Large\frac{100}{80}}×6,000$

$\implies$ $\boxed{CP=7,500}$

Total CP = 5,000 + 7,500 = 12,500

Total SP = 6,000 + 6,000 = 12,000

CP > SP, So Loss

$\implies$ $L=CP-SP$

$\implies$ $L=12,500-12,000$

$\implies$ $L=500$

$\implies$ $L\%={\Large\frac{Loss}{CP}}×100$

$\implies$ $L\%={\Large\frac{500}{12,500}}×100$

$\implies$ $\boxed{Loss\%=4\%}$

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