A retailer sells two items having cost prices Rs. 1200 and Rs. 1500 respectively. He offers discount

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15 Jul 2022 Profit & Loss

A retailer sells two items having cost prices Rs. 1200 and Rs. 1500 respectively. He offers discount of 8% on both items. The ratio between the marked price of these items is 8:9 respectively. If the total profit earned by a retailer is Rs. 428, then the difference between the marked price (in Rs) of two items is

OPtion

1) 450
2) 500
3) 300
4) 350
5) 250
6) 100
7) 400
8) 550
9) 200
10) None of these

Solution

Given, CP are Rs. 1200 and Rs. 1500
Let the MP be 8x and 9x respectively.
Then with 8% discounts, MP are (92/100)*8x and (92/100)*9x
.'. Profits are (92/100)*8x - 1200 and (92/100)*9x - 1500
Given, sum of profits = 428
⇒ (92/100)*8x - 1200 + (92/100)*9x - 1500 = 428
(23/25)*17x = 3128
x = 200
Hence, difference of marked price = 9x - 8x = x = 200
Correct Option 9)

Correct Option: 9 Best Solution (1)

G.S.Kantharao   2 years AGO

Total C.P=2700
Profit=428
Marked price=3128*100/92=3400
Difference of M.P=3400*1/17=₹200
My option is 9👈

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