# Mr. Mehta sold his two luxury cars at Rs. 39,10,000 each. On one he gains 15% but on the other, he loses 15%. How much does he gain or lose in the whole transaction? - Mathematics and Statistics

Sum

Mr. Mehta sold his two luxury cars at Rs. 39,10,000 each. On one he gains 15% but on the other, he loses 15%. How much does he gain or lose in the whole transaction?

#### Solution

Let x, y be the C.P. of two cars.

S.P. of both the cars = 39,10,000 .....…[Given]

∴ One car is sold at a 15% loss

∴ S.P. of the first car = "x" - 15/100 "x"

∴ 85/100 "x" = 39,10,000

∴ x = (39,10,000 xx 100)/85

= (2,30,000 xx100)/5

= 46,000 × 100

= 46,00,000

Other car is sold at 15% gain

∴ S.P. of second car = "y" + 15/100 "y"

∴ "y" + 15/100 "y" = 39,10,000

∴ 115/100 "y" = 39,10,000

∴ y = (39,10,000 xx 100)/115

= (7,82,000 xx 100)/23

= 34,000 × 100

= 34,00,000

x + y = Total C.P. of two cars

= 46,00,000 + 34,00,000

= 80,00,000

Total S.P. = 39,10,000 + 39,10,000

= 78,20,000

∴ S.P. < C.P.

∴ There is a loss of ₹ (80,00,000 – 78,20,000)

∴ = ₹ 1,80,000

∴ Loss% = (1,80,000)/(80,00,000) xx 100

= 18/8

= 9/4

= 2.25

∴ Mr. Mehta bears a 2.25% loss in the whole transaction.

Concept: Profit and Loss
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 9 Commercial Mathematics
Exercise 9.2 | Q 15 | Page 127