Question

The price of an item was increased by 20% and later decreased by 20%. If the original price was sh. 500, what was the final price ?
A.500
B.480
C.600
D.400

Answer 1

⋆SoluTion:

Given,

Original Price of an article = Rs. 500

Price Increased by 20%

\boxed {SP × (1+\frac {Increased}{100})}

→ \Large\bold {500×(1+\frac {20}{100})}

→ \Large\bold {500×\frac {(100+20)}{100}}

Now, New SP ☞ \Large\bold {500×\frac {120}{100}}

__________________________

Later, Price decreased by 20%

\boxed {New\;SP × (1-\frac {Decreased}{100})}

→ \Large\bold {500×\frac {120}{100}× (1-\frac {20}{100})}

→ \Large\bold {500×\frac {120}{100}×\frac {(100-20)}{100}}

→ 500× 120/100*80/100

→500×120×80/100×100

→ 48,00,000/10000

☞ Rs. 480

____________________________

Required AnSweR

The Final Price of The Article = Rs.480

OptionB → Rs. 480

Hope It Helps You ✌️