The average number of sold items from Shop A and Shop B together is 260 and the average number of unsold items from Shop A and Shop B is 290 and the ratio of sold items from Shop A and Shop B is 27:25. Find the total number of items in Shop B, if the total number of items in Shop A is 500.
a) 550
b) 450
c) 300
d) 250
e) 600
Sol:
Total number of sold items from Shop A and
Shop B = 260 * 2 = 520
Total number of sold items from Shop A = 520 *
27/52 = 270
Total number of sold items from Shop B = 520 *
25/52 = 250
Total number of unsold items in Shop A = 500 –
270 = 230
Total number of unsold items in Shop B =
(290*2) – 230 = 350
Total number of items in Shop B = 250 + 350 =
600