# Rohit marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers .what actual profit does he make if he receives rs 1064 after allowing the discount.

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by paaresha

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by paaresha

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Actual profit is Rs 264

Marked Price = Rs.{x + (40% of x)} = Rs. x + 2x/5 = Rs. 7x/5

Discount % = 5%

Discount = 5% of Rs. 7x/5 = Rs.7x/100

SP of goods = Rs 1064

As per question-

Rs. 1064 = Rs. (7x/5 - 7x/100)

=>1064 = (140x - 7x) / 100

=>106400 = 133x

=> x = 106400 / 133 = Rs.800

Profit = SP - CP = Rs. (1064 - 800) = Rs. 264

Actual profit is Rs. 264.

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Markup Price = MP CP cost price SP = sale Price

Total Cost of buying = n * CP, if n items are in the shop.

Total Sales amount = n * SP , n items are sold

MP = 1.40 CP

SP = 0.95 MP = 1.4 * 0.95 CP

Total sales amount = n SP = 1.4 * 0.95 * n * CP = 1.4 * 0.95 * Total Cost

=> 1064 = Total Cost * 1.4 * 0.95

Total cost = Rs 800

Profit = 1064 - 800 = Rs 264

Total Cost of buying = n * CP, if n items are in the shop.

Total Sales amount = n * SP , n items are sold

MP = 1.40 CP

SP = 0.95 MP = 1.4 * 0.95 CP

Total sales amount = n SP = 1.4 * 0.95 * n * CP = 1.4 * 0.95 * Total Cost

=> 1064 = Total Cost * 1.4 * 0.95

Total cost = Rs 800

Profit = 1064 - 800 = Rs 264