A horse and a carriage together cost Rs 8000. If by selling the horse

1.	A horse and a carriage together cost Rs 8000. If by selling the horse at a profit of 10% and the carriage at a loss of 10%, a total profit of 2.5% is made, then what is the cost price of the horse ? (a) Rs 3000 (b) Rs 6000 (c) Rs 2000 (d) Rs 5000
Answer» (d) Rs 5000 Let C.P. of the horse = Rs x. Then, C.P. of the carriage = Rs (8000 – x) S.P. of the horse = \(\frac{X\times110}{100}\) =Rs \(\frac{11X}{10}\) S.P. of the carriage = \(\frac{(8000-X)\times90}{100}\) = 7200 - \(\frac{9X}{10}\) Total C.P. = Rs 8000, Total profit = 2.5% \(\therefore\) Total S.P = 8000 x \(\frac{102.5}{100}\) = Rs 8200 Given, \(\frac{11X}{10}\) + 7200 - \(\frac{9X}{10}\) = 8200 \(\Rightarrow\) \(\frac{2X}{10}\) = 1000 \(\Rightarrow\) x = Rs 5000.

A horse and a carriage together cost Rs 8000. If by selling the horse at a profit of 10% and the carriage at a loss of 10%, a total profit of 2.5% is made, then what is the cost price of the horse ? (a) Rs 3000 (b) Rs 6000 (c) Rs 2000 (d) Rs 5000

Answer»

(d) Rs 5000

Let C.P. of the horse = Rs x. Then,

C.P. of the carriage = Rs (8000 – x)

S.P. of the horse = \(\frac{X\times110}{100}\) =Rs \(\frac{11X}{10}\)

S.P. of the carriage = \(\frac{(8000-X)\times90}{100}\) = 7200 - \(\frac{9X}{10}\)

Total C.P. = Rs 8000, Total profit = 2.5%

\(\therefore\) Total S.P = 8000 x \(\frac{102.5}{100}\) = Rs 8200

Given, \(\frac{11X}{10}\) + 7200 - \(\frac{9X}{10}\) = 8200

\(\Rightarrow\) \(\frac{2X}{10}\) = 1000 \(\Rightarrow\) x = Rs 5000.