During the preparation and distribution of Hajj information material, an office of 2,750 cards issues 28%, transfers 16% of the remainder, and receives back 25% of the transferred quantity. How many cards remain?
- 1,742.4 cards, being 1,980 less 316.8 plus 79.2.
- 1,650 cards, taking 16% of the original stock as the transferred quantity.
- 1,742 cards, rounding the fractional result down.
- None of these
Explanation
Start: 2,750 cards
Step 1: Issue 28%
28% of 2,750 = 770 cards issued
Left = 2,750 − 770 = 1,980 cards
Step 2: Transfer 16% of the remainder
16% of 1,980 = 316.8 cards transferred
Left = 1,980 − 316.8 = 1,663.2 cards
Step 3: Get back 25% of what was transferred
25% of 316.8 = 79.2 cards returned
Final left = 1,663.2 + 79.2 = 1,742.4 cards
If we round down: 1,742 cards
So the exact answer is 1,742.4 cards, being 1,980 − 316.8 + 79.2
Last verified on 10-09-2026
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