Multiple choice

Passage

Bar graph given below show percentage distribution of total unsold cakes on five different days by a shop. Read the data carefully and answer the questions. (i) Total 200 cakes baked each day from Sunday to Thursday. (ii) Total unsold cakes on particular day will be sold next day. (iii) There are no unsold cakes carry forward on Sunday.

9/14th of total sold cakes on Tuesday each cake sold for Rs. X and rest of cakes each cake sold for Rs. Y. If ratio of value of X to that of Y is 2 : 3 and shop received total amount of Rs. 1716 for selling all cakes on Tuesday, then find the total amount received by shop for selling each cake for Rs. X?

  1. 819 Rs.

  2. 936 Rs.

  3. 750 Rs.

  4. 702 Rs.

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total cakes on Tuesday = T. 9/14 of T sold at Rs. X each, and (1 - 9/14) = 5/14 of T sold at Rs. Y each. Ratio X:Y = 2:3, so let X = 2k, Y = 3k. Total revenue = (9/14)T × X + (5/14)T × Y = 1716. Substituting: (9/14)T × 2k + (5/14)T × 3k = 1716. (18/14)Tk + (15/14)Tk = (33/14)Tk = 1716, Tk = 1714×14/33 = 728. Amount from X-cakes = (9/14)T × X = (9/14)T × 2k = (18/14)Tk = (18/14)×728 = 936.

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