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in Mathematics by (30.1k points)

Raju sells a watch at 5% profit. Had he sold it for Rs.24 more ; he would have gained 11%. Find the cost price of the watch.

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Best answer

Let C.P. of the watch = Rs.100 

When profit = 5%; S.P. = Rs.(100+5) = Rs.105 

When profit = 11%; S.P. = Rs.(100 + 11) = Rs .111

Difference of two selling prices = Rs. 111 – Rs. 105 = Rs.6

When watch sold for Rs.6 more; then C.P. of the watch = Rs.100

When watch sold for Re. 1 more; then C.P. of the watch = Rs. 100/6

When watch sold for Rs.24 more; then C.P. of the watch = Rs. (100/6) x 24 = Rs.400

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