A had purchased a cycle a few years back. He carries out repair of 1000 and sells to B at 10% profit. B repairs for 1000 and sell to C at 10% profit.C spend 1000 and sell to D at 10% profit. D paid Rs. 7634. Find the price of A.

TITA type i.e. Type In The Answer type

3000 Rs.

C sells good to D, selling price = 7624 and profit% = 10%
⇒ CP of C = 7634 *10/11 = 6940

Now this is cost of C, which includes Rs. 1000 that he spent on repairs. So, C must have paid Rs. 6940 – 1000 = 5940 when he purchased the cycle.

Similar situation for B

B sells good to C, selling price = 5940 and profit% = 10%
⇒ CP of B = 5940 *10/11 = 5400

Now this is cost of B, which includes Rs. 1000 that he spent on repairs. So, B must have paid Rs. 5400 – 1000 = 4400 when he purchased the cycle.

A sells good to B, selling price = 4400 and profit% = 10%
⇒ CP of A = 4400 *10/11 = 4000

Now this is cost of A, which includes Rs. 1000 that he spent on repairs. So, A must have paid Rs. 4000 – 1000 = 3000 when he purchased the cycle.

Hence A paid 3000 Rs. for the cycle.