Question

Sherlock has two namely motorcycles-DUCATI-X and APRILIA-Y which are one year and two years old respectively. ... If the cost price of these motorcycles together is Rs. 4, 70,000 and selling price of the same is Rs. 4,65,300, then find the selling price of the motorcycle DUCATI-X.​

Answer 1

Selling Price of  motorcycle DUCATI-X. = Rs 232650

Step-by-step explanation:

Missing detail : 10% Profit  & 10% loss respectively  DUCATI-X and APRILIA-Y

Let say Cost Price of Ducati X = D   Rs

Selling Price of Ducati X = D + (10/100)D  = 1.1D   Rs

Cost Price of Aprilia Y  =  470000 - D   Rs

Selling Price of Aprilia Y  = 470000 - D   - (10/100)(470000 - D)

= 0.9 * (470000 - D)

= 423000 - 0.9D

1.1D + 423000 - 0.9D = 465300

=> 0.2D =  42300

=> D =  211500

Selling Price of Ducati X = 1.1D  = 1.1 * 211500 = 232650

Selling Price of  motorcycle DUCATI-X. = Rs 232650

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