self Maths Puzzle

A person bought a certain number of oranges for Rs. 70. If the price of each orange was Rs. 2 less, he would have bought 4 more oranges for the same amount. What is the number of oranges he bought originally?

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self Other Question

The integers 34031 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n? On a semicircle with diameter AD, chord BC is parallel to AD. Further each of the chords AB and CD has length 2 units, while AD = 8 units. What is the length of BC ?