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### Question

The ratio of shares of three friends in Rs. 2400 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

**A**

Rs. 800.

**B**

Rs. 804.

**C**

Rs. 796.

**D**

Rs. 808.

**Soln.**

**Ans: a**

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 2400 = $a/{3a}$ × 2400 = $2400/3$ = Rs. 800.