A merchant sells 195kg of wheat for ₹10,260 at a profit of ₹4.50 per kg of wheat. What is the cost price (in ₹, to the nearest integer) of 15kg of wheat?
- A722
- B682
- C595
- D750
Solution & Step-by-step Explanation
Step 1: Find the selling price (SP) per kg of wheat:
SP per kg=
195
10,260
=₹52.615
Step 2: Find the cost price (CP) per kg of wheat:
CP per kg=SP per kg−Profit per kg
CP per kg=52.615−4.50=₹48.115
Step 3: Find the cost price of 15kg of wheat:
CP of 15 kg=48.115×15=₹721.725
Rounding off to the nearest integer, we get ₹722.
SP per kg=
195
10,260
=₹52.615
Step 2: Find the cost price (CP) per kg of wheat:
CP per kg=SP per kg−Profit per kg
CP per kg=52.615−4.50=₹48.115
Step 3: Find the cost price of 15kg of wheat:
CP of 15 kg=48.115×15=₹721.725
Rounding off to the nearest integer, we get ₹722.