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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.
Average monthly expenditure of 'P' and 'R' together is Rs. 6932. Monthly expenditure of 'P' is 40% more than his monthly saving. Monthly income of 'Q' is 4.166% more than that of 'P' while 'Q' saves 68% of his monthly income. If the monthly saving of 'R' is 15% more than that of 'Q' and the ratio of the monthly expenditure to monthly saving of 'R' is 3 : 2 respectively then find the annual expenditure of 'R'?
Rs. 1, 08, 612
Rs. 1,09, 944
Rs. 1,11, 276
Rs. 1,12, 608
Rs. 1,13, 544
Sure! Let's break down the calculations and reasoning behind each step to solve for R's annual expenditure:
- Let P’s savings be x.
- P’s expenditure = x + 0.4x = 1.4x
- Average monthly expenditure of P and R: (1.4x + expenditure of R)/2 = 6932
- So, 1.4x + exp(R) = 13864
- Q’s monthly income = P’s income × 1.04166
- P’s income = x (savings) + 1.4x (expenditure) = 2.4x
- Therefore, Q’s income = 2.4x × 1.04166 = 2.5x approx.
- Q saves 68%, so Q’s savings = 2.5x × 0.68 = 1.7x
- R’s savings = Q’s savings × 1.15 = 1.7x × 1.15 = 1.955x
- Ratio of exp to savings for R = 3:2
- So, exp(R)/savings(R) = 3/2 ? exp(R) = 3/2 × 1.955x = 2.9325x
- sum up:
- 1.4x + 2.9325x = 13864
- 4.3325x = 13864
- x = 13864/4.3325 ˜ 3201
- R’s monthly expenditure = 2.9325x ˜ 2.9325 × 3201 ˜ 9383
- R's annual expenditure = 9383 × 12 = Rs. 1,12, 596
- Option 4: Rs. 1,12,608 is the closest and matches when slight rounding errors are considered.
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?? Correct Answer: Option 4: Rs. 1,12,608
By: Parvesh Mehta ProfileResourcesReport error
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