Question

A salesman makes a commission of a% on the first
3000 Rs worth of sales and b% commission on
further sales. During the month of January he makes
Rs. 960. Froin the total sales of Rs.7000 and during
February Rs. 1110 from a total sales of Rs. 8000
find the value of a and b.
एक विक्रेता को 3000 रु. तक की बिक्री पर a%
कमीशन मिलता है और उससे ज्यादा की बिक्री पर b%
कमीशन मिलता है। जनवरी के महीने में कुल 7000 रु.
की बिक्री पर उसने 960 रु. कमाये तथा फरवरी में 8000 रु.
को कुल बिक्री पर 1110 रु. कमाये। तो और b का
मान ज्ञात करो।
(a) 11%,12%
(b) 16%,17%
(c) 14%,13%
(d) 15%,12%
​

Answer 1

Given :  A salesman makes a commission of a% on the first 3000 Rs worth of sales and b% commission on further sales.  Rs 960 commission from 7000 Sales & Rs 1110 commission from Rs 8000 Sales

To Find : Value of a & b

Solution:

Commission on Sale of 7000

= (a/100)3000 + (b/100)(7000 - 3000)

= 30a  + 40b

Commission = 960

=> 30a + 40b = 960

=> 3a + 4b = 96    Eq1

Commssion on Sale of 8000

= (a/100)3000 + (b/100)(8000 - 3000)

= 30a  + 50b

Commission =1110

=> 30a + 50b = 1110

=> 3a + 5b = 111    Eq2

Eq2 - Eq1

=> b = 15

    a = 12

a = 12 %   & b = 15 %

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