To Fine Cost Price when Sale Price and Profit Rate % are known (WP-8: Profit)

A shopkeeper sold a calculator for Rs.900 and earned 22% profit. Find the actual price of a calculator.

Given:

Sale price (S.P) of Calculator = Rs.900

Profit = 22% 

To Find:

Actual Price i.e. Cost price (C.P) = Rs. ? 

Solution:

Let Cost price (C.P) = X

Profit = 22% of Cost price (C.P) = `{\frac{22}{100}}` X

Profit = Sale price - Cost price

Cost price = Sale price - Profit

By putting Values 

X = Rs.900 - `{\frac{22}{100}}` X

X + `{\frac{22}{100}}` X = Rs.900

`{\frac{122}{100}}` X = Rs.900

X = `{\frac{100}{122}}` x Rs.900

X = Rs. 737.70

Thus the Cost Price (C.P) of Bicycle is Rs.737.70

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