A person buys 4 fans and 9 watches for Rs. 26800. If he sells fans at 10% profit and watches at 20% profit, he gets a profit of Rs. 3760. What is the total cost price of 2 fans and 3 watches?
A person buys 4 fans and 9 watches for Rs. 26800. If he sells fans at 10% profit and watches at 20% profit, he gets a profit of Rs. 3760. What is the total cost price of 2 fans and 3 watches? Correct Answer Rs. 11600
Given:
Cost Price of 4 fans and 9 watches = Rs. 26800
Profit = Rs. 3760
Formula Used:
Profit% = (SP - CP)/CP × 100
Loss% = (CP - SP)/CP × 100
where CP → Cost Price, SP → Selling Price
Calculations:
Let the cost price of 1 fan be x and 1 watch be y
4x + 9y = 26800 ----(1)
Selling Price of fan = 1.1 × 4x = 4.4x
Selling Price of watches = 1.2 × 9y = 10.8y
So now
4.4x + 10.8y = 26800 + 3760 = 30560 ----(2)
Solving (1) and (2) simultaneously
x = 4000
y = 1200
now calculating
total cost price of 2 fans and 3 watches = 2x + 3y = (2 × 4000) + (3 × 1200)
total cost price of 2 fans and 3 watches = 8000 + 3600 = 11600
∴ total cost price of 2 fans and 3 watches is Rs. 11600