Answer:
(d) 150%
Step-by-step explanation:
(i) Long method
Total CP of 50 toys=Rs 127
∴ CP of 25 toys = Rs 63.5
SP of 50% (25) toys which were sold at 50% loss = 50% of 63.5 = Rs. 31.75
Total profit required = 50% = 50/100*127 = Rs. 63.5
∴ Total SP required = Rs. 127+63.5 = Rs. 190.5
∴ SP of the remaining 50% toys = Rs. 190.5 - 31.75
=Rs. 158.75
=> profit required on remaining 50% toys = 158.75-63.5 = Rs. 95.25
=> profit% required = 95.25/63.5*100 % = 150%
(ii) Short method
When percentages are given, we need not bother about exact values.
Let total CP=Rs. x
CP of 50% toys = Rs.x/2
These are sold at 50% loss, ∴SP of these toys = Rs. (x/2)/2 = Rs. x/4
Overall profit required = 50% of total CP = x/2
∴ Total SP required = x+x/2 = 3x/2
∴ SP of remaining 50% toys = 3x/2-x/4
= 5x/4
=> profit required on remaining 50% toys = 5x/4-x/2
= 3x/4 = (3/2)(x/2) = 3/2 of CP = 150% of CP