Multiple choice

Kiran bought three different types of sugar such as A, B and C. Combined cost of type A and B is Rs.120 and the ratio of the cost of type A to type B is 7 : 5 and type C is 10 rupees less than the cost of type B . All the types of sugar are bought in the ratio 3 : 5 : 7 and mixed and after that one-fifth of the mixture is sold for Rs. 80 per kg. At what price, Kiran should sell the remaining mixture to make an overall profit of 40%?

  1. Rs. 51.50

  2. Rs. 60.30

  3. Rs. 66.33

  4. Rs. 71.25

  5. NA

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost of A+B = 120, ratio 7:5 means A=70, B=50. C = B-10 = 40. Quantities in ratio 3:5:7. Total cost for 15 units = 3*70 + 5*50 + 7*40 = 210 + 250 + 280 = 740. Total profit needed 40% = 740 * 1.4 = 1036. One-fifth sold for 80 (3 units * 80 = 240). Remaining 12 units need to be sold for 1036 - 240 = 796. Price = 796 / 12 = 66.33.