a shopkeeper made a loss of Rs20 when discount is 20%.if he had sols it at 10% he wouldgain 10% find the mp
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Let actual price be a rupees.
Let MRP be m rupees.
So on discounting 20% :
0.8m = a - 20
So on discounting 10% :
0.9m = a + 0.1a = 1.1a
Dividing both equations :
0.8m/0.9a = (a-20)/1.1a
=> 8/9 = (a-20)/1.1a
=> 8.8a = 9a - 180
=> 0.2a = 180
=> a = 900 rupees
So m = (a-20)/0.8
= 880/0.8
= 1100 rupees
Thus MRP is 1100 rupees.
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