Ratio between marked price of two piano xx to piano yy is 4 : 5. Shopkeeper allowed d¾ discount on piano xx and( d + 18) % discount on piano yy, so selling price of both piano becomes equal. If shopkeeper made a profit of 20% ?n piano xx and 25% on piano yy and profit made on piano yy is ₹ 384 more thanthat of piano xx, then find the cost price of piano xx and piano yy respectively.

Ratio between marked price of two piano xx to piano yy is 4 : 5. Shopk

1.	Ratio between marked price of two piano xx to piano yy is 4 : 5. Shopkeeper allowed d¾ discount on piano xx and( d + 18) % discount on piano yy, so selling price of both piano becomes equal. If shopkeeper made a profit of 20% ?n piano xx and 25% on piano yy and profit made on piano yy is ₹ 384 more thanthat of piano xx, then find the cost price of piano xx and piano yy respectively.
Answer» `₹ 9000 xx ₹ 8400` `₹9600 xx ₹ 9216` `₹9800 xx ₹ 9012` `₹9600 xx ₹8488` Solution :Let marked priceof PIANO XX and YY be400x and 500x respectively. ATQ- `400 x xx ((100-d))/(100) = 500x xx ((100-d-18))/(100)` `400-4d = 410 - 5d` d = 10% Cost priceof Piano`XX = (400xx(90)/(100))/(120) xx 100= ₹300x` Cost priceof Piano `YY = (500x xx((100-28))/(100))/(125) xx 100= ₹ 288x` ATQ `(500x xx (72)/(100) - 288x) - (400x xx(90)/(100)-300x) = 384` `72x - 60x = 384` `x = 32` Cost priceof Piano `XX = 32 xx 300 = ₹ 9600` Costprice ofPiano `YY = 32 xx 288 = ₹ 9216`