The C P of a Denim is 10 more than C P of a T shirt The shopkeeper marked up Denim at 20 above the C...........

Quant (SSC) Profit and loss

The C.P of a Denim is 10% more than C.P of a T-shirt. The shopkeeper marked up Denim at 20% above the C.P and T-shirt at 30% above the C.P. Find the sum of marked price of 4 Denims and 5 T-shirts, if shopkeeper allowed discount of 20% on T-shirt and 25% on Denim and the difference between selling prices of both is Rs. 50.

11680

10780

12680

11780

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Explanation:

Let cost price of T-shirt Rs. 100x and cost price of Denim Rs. 110x
Marked price of Denim
110x × 120 /100 = 132x
Marked price of T-shirt = 100x × 130 /100 = 130x
Selling price of Denim = 132x × 75 /100 = 99x
Selling price of T-shirt = 130x × 80 /100 = 104x
According to the question,
⇒ 104x – 99x = 50
⇒ 5x = 50
⇒ x = 10
Marked price of 4 Denim and 5 T-shirt
= Rs. [(132 × 10) × 4 + (130 + 10) × 5] = Rs. 11780