The cost price of a saree to a person X was ₹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?

The cost price of a saree to a person X was ₹100.

cost price of a saree to a person X = ₹100

Person X sells the saree to person Y at a profit of 10%.

Selling price of a saree to a person X = ₹100 of (100+10)%

= ₹100 of 110%

= $$100\times\frac{110}{100}$$

= ₹110

cost price of a saree to a person Y = ₹110

person Y then sells it to person Z at a loss of 10%.

Selling price of a saree to a person Y = ₹110 of (100-10)%

= ₹110 of 90%

= $$110\times\frac{90}{100}$$

= ₹99

cost price of a saree to a person Z = ₹99

So person Z pay ₹99 for the saree.