Three companies A, B and C manufactured two types of bottles viz Steel and Copper. Total number of bottles manufactured by the company is 1000. The ratio between the number of copper bottles manufactured by A and the number of Steel bottles manufactured by B is 13 : 17. The total number of Copper bottles manufactured by C is 164. The number of Copper bottles manufactured by B is 25 more than the same type of bottles manufactured by A. The 14.28 % of the number of Copper bottles manufactured by B is equal to the 1/9th of the total number of Steel bottles manufacured by C. The number of Steel bottles manufactured by A is 122 which is 21 less than the number of Copper bottles manufactured by the same company.
Find the difference between the total number of steel and copper bottles manufactured by all the shops.
This questions was previously asked in
IBPS PO Prelims (15th Oct 2022 Shift 2)
Explanation:
- Let's break down the problem step by step using provided information.
- Company A manufactures 122 steel bottles. Thus, A makes 122 + 21 = 143 copper bottles.
- The ratio of copper bottles by A to steel bottles by B is 13:17.
- If A's copper is 143, then B's steel = (17/13) * 143 = 187.
- B makes 25 more copper bottles than A. So, B produces 143 + 25 = 168 copper bottles.
- 14.28% of B's copper is equal to 1/9 of C's steel.
- Therefore: 0.1428 * 168 = 1/9 * C's steel. This results in C making 216 steel bottles.
- C makes 164 copper bottles (given).
- Total bottles from all three companies is 1000.
- Calculate A's total = 143 (Cu) + 122 (St) = 265.
- Calculate B's total = 168 (Cu) + 187 (St) = 355.
- Calculate C's total = 164 (Cu) + 216 (St) = 380.
- Total copper = 143 + 168 + 164 = 475.
- Total steel = 122 + 187 + 216 = 525.
- Difference = 525 - 475 = 50.
Correct Answer: Option 1 - 50
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By: Parvesh Mehta