# Word Problem10:

**Word Problem10: A horse is sold for Rs 1230 at a loss of 18%. What would have been gained or lost percent if it had been sold for Rs 1600 ?**

**a. 6-2/3% gain b. 7% loss c. 8% gain d. 9-1/2% loss**

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**Solution:**

Here we suppose that cost price

Now first sale price is Rs 1230 i-e

and

But

Putting values of Loss, CP and SP1

Simplifying gives us;

So cost price is Rs 1500

i-e CP=1500

Now had it been sold for Rs 1600, then we see it would have gain of Rs 100 !

i-e Profit = P = 100

Now to find what percentage it (the profit of 100 rupees) makes of cost price, we suppose that it makes ‘x’ [ercent of CP !

i-e

**So the option ‘a’ is the answer**

(Actuarial analysis)

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