Laddoo Making Group
XAT 2022 · Quantitative Ability & Data Interpretation · Medium · Algebra
Some members of a social service organization in Kolkata decide to prepare 2400 laddoos to gift to children in various orphanages and slums in the city, during Durga puja. The plan is that each of them makes the same number of laddoos. However, on the laddoo-making day, ten members are absent, thus each remaining member makes 12 laddoos more than earlier decided.
How many members actually make the laddoos?
- A.
100
- B.
50
- C.
90
- D.
24
- E.
40
E
Explanation
Let original number of members be . rac{2400}{n - 10} - rac{2400}{n} = 12 \implies rac{200}{n-10} - rac{200}{n} = 1 \implies 200(10) = n(n-10) \implies n^2 - 10n - 2000 = 0 . Actual members who made laddoos = .
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