X of kolkata sends out certain goods to y of mumbai at cost 25% 1/2 of goods received by y is sold at 176000 at 10% above ip invoice value of goods send out?

Question

X of kolkata sends out certain goods to y of mumbai at cost  25% 1/2 of goods received by y is sold at 176000 at 10% above ip invoice value of goods send out?

Answer

Problem: X of Kolkata sends out certain goods to Y of Mumbai at a cost of 25%. 1/2 of the goods received by Y is sold at 176000 at 10% above the invoice value of goods sent out.

Solution:

To solve this problem, we need to break it down into smaller steps.

Step 1: Find the cost of goods sent out by X

X sends out certain goods to Y at a cost of 25%.

This means that Y pays 125% of the cost of goods.

Let the cost of goods sent out by X be C.

125% of C is the amount paid by Y.

Therefore, the amount paid by Y is 1.25C.

Step 2: Find the invoice value of the goods sent out by X

The invoice value of the goods sent out by X is the cost of goods plus a markup.

Let the markup be M.

The invoice value of the goods sent out by X is C + M.

Step 3: Find the selling price of half the goods received by Y

Y sells half the goods received at a markup of 10% above the invoice value.

The selling price of half the goods received is 176000.

Let the selling price of half the goods be S.

The markup on the invoice value is 10%.

Therefore, the invoice value of half the goods is 90% of S.

That is, 0.9S = C + M/2 (since half the goods were sold).

Step 4: Solve for C

Substitute the value of C + M from Step 2 into the equation from Step 3.

0.9S = C + M/2 = C + (C + M)/2

0.9S = 1.5C + 0.5M

Solve for C: C = (0.9S - 0.5M)/1.5

Step 5: Find the cost of goods received by Y

Y received all the goods sent out by X.

Therefore, the cost of goods received by Y is the same as the cost of goods sent out by X.

From Step 1, we know that Y paid 1.25C for the goods.

Substitute the value of C from Step 4 into this equation.

Therefore, the cost of goods received by Y is (1.125S - 0.625M)/1.5.

In conclusion, the cost of goods received by Y is (1.125S - 0.625M)/1.5.

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