swara purchased a cupboard for rupees 13200 after getting 12% discount and PT got the same covered at 15% discount what is the difference between their cost price
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The difference between their cost price is Rs 529.41
Let the cost price of the cupboard for Swara be Rs x.
After 12% discount, the selling price would be Rs (100-12)% of CP
= 88% of Rs x
= Rs 0.88x
This is equal to Rs 13200
So, 0.88x = 13200
⇒x = 13200/0.88
x = Rs 15000
Let the price of the cupboard for PT be Rs y
After 15% discount, the selling price would be Rs (100-15)% of CP
= 85% of Rs y
= Rs 0.85y
This is equal to Rs 13200
So, 0.85y = 13200
⇒y = 13200/0.85
y = Rs 15529.41
Difference of Cost Price = Rs 15529.41 - Rs 15000
= Rs 529.41
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