Question

यदि 2 संख्याओ का अंतर 1660 है यदि एक संख्याका 6.5% दुसरी संख्या के 8.5% के बराबर है तो छोटी संख्या है

Answer 1

Step-by-step explanation:

Let the required number be x and y, where x > y.

Therefore,

According to the first condition:

x - y = 1660....(1)

Now

According to the second condition:

$6.5 \% \: of \: x = 8.5 \% \: of \: y \\ \frac{6.5}{100} x = \frac{8.5}{100} y \\ \frac{65}{1000} x = \frac{85}{1000} y \\ 65x = 85y \\ 13x = 17y \\x = \frac{17}{13} y....(2) \\ from \: equations \: (1) \: and \: (2) \\ \frac{17}{13} y. - y = 1660 \\ \frac{17y - 13y}{13} = 1660 \\ \frac{4y}{13} = 1660 \\ 4y = 1660 \times 13 \\ y = \frac{1660 \times 13}{4} \\ y = 415 \times 13 \\ y = 5395 \\ x = 5395 \times \frac{17}{13} \\ x = 415 \times 17 = 7055$

Thus the smaller number is 5395.