Read the given data carefully and answer the following questions. There are…
2021
Read the given data carefully and answer the following questions.
There are 1080 (Fabric + paper) bag sold by shop A, B and C.
(i) Shop A sold (paper + fabric) bag 25% more than shop B. Equal number of paper and fabric bag sold by shop B.
(ii) The number of paper bag sold by shop B is double the fabric bag sold by A.
(iii) The number of paper bag sold by shop C is 50% of fabric bag sold by shop A.
(iv) The number of fabric bag sold by shop C is 25% of that by shop B.
Each paper bag and each fabric bag of shop A sold at Rs. 10 and Rs.15 respectively. Find total revenue from selling paper bag and fabric bag of shop A?
- A.
Rs.4750
- B.
Rs.5280
- C.
Rs.5940
- D.
Rs.5480
- E.
Rs.6220
Show answer & explanation
Correct answer: C
Concept
In a linked data-interpretation set, every quantity is tied to the others by the given ratios and percentages. The reliable method is to express all quantities in terms of one base variable, then use the single total figure to fix that variable. Once each count is known, revenue for any shop is the sum over each item type of (number of items) x (unit price).
Application
Let the number of fabric bags sold by shop A be the base, f.
Condition (ii): paper bags of B = 2 x fabric bags of A = 2f. Shop B sells equal paper and fabric, so fabric bags of B = 2f as well, and B's total = 4f.
Condition (i): A's total is 25% more than B's total, so A's total = 1.25 x 4f = 5f. Since fabric of A = f, paper bags of A = 5f - f = 4f.
Condition (iii): paper bags of C = 50% of fabric bags of A = 0.5f.
Condition (iv): fabric bags of C = 25% of fabric bags of B = 0.25 x 2f = 0.5f. So C's total = f.
Grand total of all bags = A + B + C = 5f + 4f + f = 10f. The set states this equals 1080, so 10f = 1080, giving f = 108.
Therefore fabric bags of A = 108 and paper bags of A = 4f = 432.
Revenue of shop A = (paper bags x Rs.10) + (fabric bags x Rs.15) = 432 x 10 + 108 x 15 = 4320 + 1620 = Rs.5940.
Cross-check
A's total = 540, B's total = 432, C's total = 108; these sum to 1080, matching the given figure. Also 540 = 1.25 x 432, paper-B (216) = 2 x fabric-A (108), paper-C (54) = 0.5 x 108, and fabric-C (54) = 0.25 x 216 - every condition holds, so the revenue Rs.5940 is confirmed.