Question : The cost price of a saree to a person X was INR 100. Person X sells the saree to Person Y at a profit of 10% and Person Y then sells it to Person Z at a loss of 10%. How much does person Z pay for the saree?
Option 1: INR 100
Option 2: INR 99
Option 3: INR 101
Option 4: INR 90
Correct Answer: INR 99
Solution :
Given,
Cost price of X = Rs100
Final value = Initial value$(1 + \frac{R}{100}) (1 - \frac{R}{100}$)
Where, R = increment and decrement of Rate successively
Here, we have Initial value = Cost price of X = INR 100, Rate of increment = 10%, Rate of decrement = 10%
$\therefore$ Final value
= Initial value × $(1 + \frac{R}{100}) (1 - \frac{R}{100}=100 × ( 1 + \frac{10}{100}) × ( 1 - \frac{10}{100})= 100 × \frac{11}{10} × \frac{9}{10}$ = INR 99
Hence, the correct answer is INR 99.
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