Question

On selling a chair at 7 % loss and table at 17% gain ,a man gains rupees 296. If he sells the chair at 7% gain and the table at 12%gain then he gains rupees 400 the actual price of the table is

Answer 1

₹‎2400

Explanation:

Let the actual price of table = t

the actual price of chair = c

[1] c(100% - 7%) + t(100% + 17%) = t + c + 296

0.93c + 1.17t = t + c + 296

-0.07c + 0.17t = 296

[2] c(100% + 7%) + t(100% + 12%) = t + c + 400

1.07c + 1.12t = t + c + 400

0.07c + 0.12t = 400

[1] & [2]

-0.07c + 0.17t = 296

0.07c + 0.12t = 400

--------------------------------- (+)

0.29t = 696

t = 2400