MAT Exam 2022 Paper

Concept:Use the given ratios to find the number of each type of cake sold and then form an equation from total earnings.Explanation:From the pie-chart, total cakes sold on Monday = 966.Let chocolate cakes sold on Monday = $x$.Then vanilla cakes sold = $2x$, so total cakes sold = $3x$.Thus, $3x = 966 \Rightarrow x = 322$.So, vanilla cakes sold = $2 \times 322 = 644$.Chocolate cakes sold = $322$.Let the selling price of one vanilla cake be $y$.Ratio of selling price of vanilla cake to chocolate cake = $1:4$.So, selling price of one chocolate cake = $4y$.Total earnings on Monday: $644y + 322(4y) = 9660$.$644y + 1288y = 9660$.$1932y = 9660 \Rightarrow y = 5$.Answer:Rate of one vanilla cake = ₹5, i.e. option B.