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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


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

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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