Question

After deducting a commission of 10% a TV costs ₹ 18000. What is its gross value?

(a) ₹ 18800 (b) ₹ 20000 (c) ₹ 19800 (d) none of these

Answer 1

(b) ₹ 20000

Because,

Let the gross value of TV be ₹ x

Commission on TV = 10%

Price of the TV after deducting the commission = ₹ (x – 10% of x)

= (x – ((10/100) × x))

= (x – (x/10))

= (10x – x)/10

= (9x/10)

The price of TV after deducting the commission = ₹ 18000

= (9x/10) = 18000

= x = (18000 ×10) / 9

= x = (2000 × 10)

= x = ₹ 20000

Answer 2

Let gross value of TV = X

commission=10%

=>Commission=X/10

so cost of TV=X-X/10=18000

=>9X=180000

=>X=20000 (ans)