A, B, and C get ₹5400 for doing work in 36 days. A and C get ₹1880 for doing the same work in 20 days, which B and C get ₹3040 for doing the same work in 40 days. Find the amount received by C per day.

#### Options

₹50

₹25

₹30

₹20

#### Solution

**₹20Explanation:**

The amount received by (A+ B + C) per day = `5400/36` = ₹150

∴ A + B + C = ₹150 ... (i)

Similarly, amount received by (A + C) per day = `1880/20` = ₹94

∴ A + C = ₹94 ... (ii)

Amount received by (B + C) per day = `3040/40` = ₹76

∴ B + C = ₹76 ... (iii)

From Eqs. (i) and (iii), we get

A + 76 = ₹150

A =150 - 76 = ₹74

By putting the value of A in Eq. (ii), we get

74 + C = ₹94

C = 94 - 74 = ₹20

Hence, amount received by C per day = ₹20