Question

A man sold two horses for $Rs.99$ each. On the $1st$ he gained $10$% and on the other he lost $10$%. Find the total gain or loss % on the whole transaction

• A. $10$% loss
• B. $1$% loss
• C. $9$% gain
• D. $2$% gain

Answer 1

The correct option is B $1$% loss

SP of both cars = ₹99
For the first car, he gains 10%
Thus CP = [SP/(100 + gain %)] × 100
⇒ CP = [99/(100+10)] × 100
⇒ CP = ₹ 90

For the second car, he loses 10%
Thus CP = [SP/(100 - loss %)] × 100
⇒ CP = [99/(100-10)] × 100
⇒ CP = ₹ 110
Total Cost price = 110+90 = ₹200
Total selling price = 99×2 = ₹198
Total loss = 200 -198 = ₹2
loss % = 2/200 × 100 = 1 %
Thus, he loses 1% in whole transaction.