₹4,445 is divided among A, B and C in such a way that if ₹65, ₹39 and ₹77 are deducted from their respective shares, they have money in the ratio 18:3:20. Find the difference between B’s and C’s original shares.

Correct option is C

Given:
Total sum = ₹4,445
Deductions from A, B, and C respectively = ₹65, ₹39, and ₹77
Ratio of their remaining shares = 18 : 3 : 20
Formula Used:
Remaining Total = Initial Total - Sum of Deductions
Value of one ratio unit = $$\frac{Remaining\ Total}{Sum\ of\ Ratios}$$​​
Solution:
Total deductions = 65 + 39 + 77 = 181
Remaining amount = 4445 - 181 = 4264
Sum of the ratio parts = 18 + 3 + 20 = 41
Value of 1 ratio part = $$\frac{4264}{41}$$​ = 104
B's remaining share = 3 × 104 = 312
C's remaining share = 20 × 104 = 2080
B's original share = 312 + 39 = 351
C's original share = 2080 + 77 = 2157
Difference between B's and C's original shares = 2157 - 351 = 1806
Final Answer
So the correct answer is (c)