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After deducting 15% from a certain sum and then 25% from the remainder, there is ₹4,335 left. Find the original sum.
Question

After deducting 15% from a certain sum and then 25% from the remainder, there is ₹4,335 left. Find the original sum.

A.

₹6,800

B.

₹6,700

C.

₹6,500

D.

₹7,000

Correct option is A

Given:
After deducting 15% from a certain sum and then 25% from the remainder, there is ₹4,335 left.
Solution:
After the second reduction of 25%, the remaining is 75%.
So, before the second reduction, the sum  =10075\frac{100}{75} ​× 4335 = 5780
Before the first reduction of 15%, the remaining is 85%.
So, the original sum = 10085\frac{100}{85} ​× 5780 = 6800
The original sum was ₹6,800
Alternate Solution:
Let the sum be 100 unit
After deducting 15% remains 85 unit
Then, after 25% of remaining = 63.75 unit
63.75 unit = ₹4335
1 unit = ₹68
100 unit = ₹6800

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