The retail price of a toothpaste of 140 grams is Rs 40, the shopkeeper gives a…
2024
The retail price of a toothpaste of 140 grams is Rs 40, the shopkeeper gives a toothbrush whose actual price is Rs 10, free with it and still gains 25%. The cost price of the toothpaste is :
- A.
Rs. 36
- B.
Rs. 24
- C.
Rs. 60
- D.
Rs. 22
Show answer & explanation
Correct answer: D
When a shopkeeper gives an additional item free alongside the main product, that free item's price is an extra cost to the shopkeeper, not a discount on what the customer pays. So the shopkeeper's true total cost equals the cost price of the main item plus the cost price of the free item, and any stated profit percentage is calculated on this total cost, against the actual amount the customer pays as the selling price.
The customer pays the full retail price, so Selling Price (SP) = Rs 40.
Let the cost price of the toothpaste be CP. The shopkeeper's total cost = CP + Rs 10 (the toothbrush given free).
A profit of 25% means SP = 1.25 x Total Cost, so 40 = 1.25 x (CP + 10).
Dividing both sides by 1.25: CP + 10 = 32.
So CP = 32 - 10 = Rs 22.
Check: Total cost = 22 + 10 = Rs 32. Profit = 40 - 32 = Rs 8, and 8/32 x 100 = 25%, which matches the given profit, confirming Rs 22 is correct.