Out of two numbers, 20 percent of the smaller number is equal to 14 percent of the larger number. If the sum of both the number is 8942, then what is the value of the larger number ?

5260

Let the larger number be ‘x’

Smaller number = (8942 - x)

Now, 20% of smaller no. = 14% of larger no.

⇒ 0.2 × (8942 - x) = 0.14x

⇒ 1788.4 - 0.2x = 0.14x

⇒ 0.16x =1788.4

⇒ x =  \(\frac{1788.4}{0.16}\) = 5260

∴ Larger number is 5260