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Using (a + b + c) 2 = a2 + b2 + c2 + 2ab + 2bc + 2ac So, (8x - 6y - 5z) 2 = (8x) 2 + ( - 6y) 2 + ( - 5z) 2 + 2(8x) ( - 6y) + 2( - 6y) ( - 5z) + 2(8x) ( - 5z) = 64x2 + 36y2 + 25z2 - 96xy + 60yz - 80zx
If price of grains is increased by 50%, by how much percent a person has to decrease his consumption of grains so that expenditure on grain increases on...
Akshay, Vishal and Dipak purchased 2, 20 and 50 notebooks for a total of Rs 16, Rs 140 and Rs 400 respectively from a stationery shop. In his transactio...
If two successive discounts of 20% and 12% are applied, what would be the equivalent single discount?
A school's enrollment of students increased by 10% in 2015, another 20% in 2016, and then decreased by 30% in 2017. If the percentage of students receiv...
A girl spent 32% of her monthly income on clothing. Of the remaining, she spent on travel and food in the ratio of 5:3. If the difference of the income ...
A person purchases 50 shares of a company at a price of Rs 80 per share. He sells part of these shares at a 25% profit and the rest at a 15% loss. If hi...
In 2018, the income-to-expenditure ratio of Vishal was 5:3. The following year, his income increased by 10% while his expenditure rose by 15%. Determine...
A gets 36% of the full marks in an exam and fails by 90 marks. B gets 38% of the full marks in the same exam and he also fails by 72 marks. What is the ...