₹1,287 is divided among Rahul, Monika, and Yuvraj

Step 1: Let the actual shares of Rahul, Monika, and Yuvraj be R, M, Y.

After deductions:

R - 36 : M - 22 : Y - 29 = 17 : 7 : 16

Step 2: Introduce a common multiplier $k$:

R - 36 = 17k
M - 22 = 7k
Y - 29 = 16k

Step 3: Sum of actual shares = 1287

R + M + Y = 1287

Substitute R = 17k + 36, M = 7k + 22, Y = 16k + 29:

(17k + 36) + (7k + 22) + (16k + 29) = 1287

Step 4: Combine terms:

17k + 7k + 16k + 36 + 22 + 29 = 1287

40k + 87 = 1287

40k = 1287 - 87 = 1200

k = 30

Step 5: Find Monika's actual share:

$M = 7k + 22 = 7 \times 30 + 22 = 210 + 22 = 232$

✅ Monika's actual share = ₹232