there are 5 types of chocolates available - A, B, C, D, E. The average price of A, B and C is Rs 36, and the average price of A, B, C and D is Rs 37. E costs Rs 3 less than D and the average price of B, C, D and E is Rs 36. What is the price of chocolate A?
a) 41 b)46 c) 49 d) 50
Answers
Answer:
The price of chocolate A is option a)41 Rs
Step-by-step explanation:
Given : The average price of A, B and C is Rs 36
The average price of A, B, C and D is Rs 37
The average price of B, C, D and E is Rs 36
E costs Rs 3 less than D
the price of chocolate A =?
Solution : Total cost of A, B, C and D = average cost x no of types of
chocolates
= 37 x 4
= 148 Rs
Total cost of A, B & C = average cost x no of types of chocolates
= 36 x 3
= 108 Rs
Cost of D chocolate = total cost of A,B,C & D - total cost A.B &C
= 148 - 108
= 40 Rs
Cost of E chocolate = cost of D - 3
= 40 - 3
= 37 Rs
Average cost of A,B,C,D & E = (Total cost of A,B,C,D + Cost of E )/5
= (148+37)/5
= 185/5
= 37 Rs
Total cost of A,B,C,D,E = Average cost of A,B,C,D,E x no of types
= 37 x 5
= 185
Total cost of B,C,D,E = Average cost of B,C,D,E x no of types
= 36 x 4
= 144 Rs
Cost of A = Total cost of A,B,C,D,E - Total cost of B,C,D,E
= 185 - 144
= 41 Rs