Question

A trout of weight 3 kg is picked up by
a fishermens' cooperative in Srinagar and sold to a
wholesaler at a 9% profit. The wholesaler who
spends Rs 125 on storing 1500 kg of fish in a cold
storage, sells it to a retail chain in Delhi at a 50%
profit, which in turn sells it to a customer at a 166 2/3%
profit for Rs 205.00. What price had the fishermens'
co-operative paid for the trout?


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Answer 1

Answer:

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When S. P. of retail chain is 166 2/3 or 500/3, it's C. P. is = ₹100

When it's S. P. is ₹ 1 , it's C. P. = 100 ÷ 500/3 = ₹ 300/500

When it's S. P. is ₹ 205.00, it's C. P. = ₹ 300/500 × 205 = ₹123.00

Therefore, ₹123 is the S. P. of the wholesaler.

When S. P. of wholesaler is ₹150.00, it's C. P. = ₹100

When it's S. P. is ₹1 , it's C. P. = ₹ 100/150

When it's S. P. is ₹123, it's C. P. = ₹ 100/150×123 = ₹ 82.00

Let us Now calculate the overhead expenses of the wholesaler.

For 1500 kg of fish, the wholesaler spends = ₹125

For 1 kg of fish, the wholesaler spends = ₹ 125/1500

For 3 kg of fish, the wholesaler spends = ₹ 125/1500×3 = ₹ 0.25

Now, total C. P. of wholesaler = ₹ 82.00

Less:Overhead = ₹0.25

Price Paid to co-operative = ₹ (82.00-0.25) = ₹ 81.75

When S. P. of Co-operative is ₹ 109,00,its C. P. = ₹ 100.00

When S. P. of Co-operative is ₹ 1 , it's C. P. = ₹100/109

When S. P. of Co-operative is ₹81.75, it's C. P. = ₹ 100/109 × 81.75 = ₹ 75.00

Thus, price paid by the fisherman's Co-operative = ₹ 75.00.