IBPS PO Mains 30 Nov 2024 Shift 2 Paper

Concept:Find the difference between the actual price of B in 2015 and the forecast price of A in 2014 using the given quadratic equation and pie-chart data.Explanation:Solve the equation: $x^2 + 11x - 350 = 0$.Factorising gives $(x+25)(x-14) = 0$.So the roots are $-25$ and $14$. Since price must be positive, $X = 14$.From the pie-chart data, we get $Z = 25$.Thus, the forecast price of item A in 2015 is $Z \times X = 25 \times 14 = 350$.For low demand, the actual price must be more than the forecast price.The actual price of A in 2015 is $360$, which is greater than $350$, so the condition holds.The forecast price rises by $40\%$ from 2014 to 2015.Let the 2014 forecast be $F$. Then $F \times 1.4 = 350$.So $F = 350 \div 1.4 = 250$.The actual market price of item B in 2015 is $320$.Required difference: $320 - 250 = 70$.Answer:The difference is $70$, which corresponds to option B.