If a shopkeeper sold a watch for Rs 640 at a loss of 20%,find the cost price of the watch

Mathematics

1 answer:

stealth61 [152]3 years ago

4 0

Answer:

Rs 800

Step-by-step explanation:

Selling Price =Rs640

Loss=20%

Let the cost price of the watch be Rs x.

SP=CP-20%of CP

or, 640=x-x/5

or, 640=4x/5

or, 4x=640*5

or,x=3200/4

Therefore, x=Rs 800. The cost price of the watch is Rs 800.

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Work Shown:

$y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\$