# Tutor profile: Sufiyan A.

## Questions

### Subject: Basic Math

A shopkeeper gives a discount of 50% on all items. He further gives a seasonal discount of 30% on the discounted price and a promotional discount of another 20% on the final price. Find the selling price of a product worth $100.

After an initial discount of 50%, price = $100(1-0.50) = $50 After another seasonal discount of 30%, price = $50(1-0.30) = $35 After the final discount of 20%, price = $35(1-0.20) = $28 Hence, the final selling price of a product worth $100 in $28.

### Subject: Statistics

The average weight of a group of 10 girls is 50kg. If another girl is added to the group, the average increases to 52kg. Find the weight of the last girl.

Let the weight of the last girl be x. Total weight of the first 10 girls = (Average weight*Number of girls) = (50*10) = 500kg After the last girl is added to the group, Total weight=500+x New Average = (500+x)/11 = 52 (500+x)=52*11 x=572-500 x=72 Hence, the weight of the last girl is 72kg.

### Subject: Algebra

If the equation x^2-4x+k has 1 real root, Find the value of k.

If the equation has only 1 real root, the discriminant should be 0. Therefore, (-4)^2-4(1)(k)=0 16-4k=0 16=4k 4=k Hence, the value of k is 4.

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