Directions: Answer the questions based on the information given below
Seller 'A' and seller 'B' sold a certain number of 'wooden' and 'plastic' toys. The selling price of each 'wooden' toy that is sold by seller 'A' is equal to the selling price of each 'wooden' toy that is sold by seller 'B'. The selling price of each 'plastic' toy that is sold by seller 'A' is equal to the selling price of each 'plastic' toy that is sold by seller 'B'. The total unit sale of 'plastic' toys to 'wooden' toys by seller 'A' is in the ratio of 3 : 8 respectively. The ratio of the total number of 'wooden' toys sold by seller 'A' to that by seller 'B' is in the ratio of 2 : 3 respectively. The total number of toys sold by seller 'B' is 100. The number of 'plastic' toys sold by seller 'B' is equal to the number of 'wooden' toys sold by seller 'A'. The selling price of each 'wooden' toy is double the selling price of each 'plastic' toy and it is applicable for both the given sellers.
The number of 'plastic' toys sold by seller 'B' is what percent more/less than the number of 'wooden' toys sold by seller 'A'?
This questions was previously asked in
SBI PO Mains (30 Jan, 2023)
None of these
Correct AnswerExplanation:
- Seller A and B sell wooden and plastic toys at the same unit prices.
- For seller A, the ratio of plastic to wooden toys sold is 3:8.
- Seller A sells wooden toys at a 2:3 ratio compared to seller B.
- Seller B’s total toy sales are 100 units.
- The number of plastic toys sold by seller B equals the number of wooden toys sold by seller A.
- The price of each wooden toy is twice that of a plastic toy.
To solve:
- Let x be the number of wooden toys sold by seller A.
- Then, seller B sells (3/2)x wooden toys, due to the 2:3 ratio.
- Seller B's total is 100 toys, which includes both wooden and plastic.
- The number of wooden toys A sold is equal to the number of plastic toys B sold; hence seller A sells (3/11) of the total 100 toys.
- This ratio makes x = 40, which represents both wooden toys by A and plastic toys by B.
The comparison:
- Wooden toys by A = 40.
- Plastic toys by B = 40.
The percentage increase or decrease comparison:
- The number of plastic toys sold by B is equal (0% more/less) than the wooden toys sold by A.
Thus, the correct answer is:
- "None of these" as the options do not provide 0%.