A salesman in appointed on a basic salary of Rs.1200 per month and the condition that for sales of Rs.10000 or above, he will get 50% of the basic salary and 10% of the sale values as a reward. This incentive scheme does not operate for the first Rs.10000 of sales. What should be the value of sales if he wants to earn Rs.7600 in a particular month?

Correct option is B

Given:
Basic salary = Rs. 1200
The condition that for sales of Rs. 10000 or above, he will get 50% of the basic salary and 10% of the sale values as a reward.
This incentive scheme does not operate for the first Rs. 10000 of sales.
Solution:
For the first Rs. 10000 sales, he gets Rs. 1200.
Let the additional sales to achieve an earning of Rs. 7600 be of Rs. Q.
His earnings excluding the basic salary
⇒ 7600 - 1200
⇒ 6400
According to the question,
(1200 × 50%) × Q/10000 + Q × 10% = 6400
⇒ 600 × Q/10000 + 0.1 × Q = 6400
⇒ 6Q/100 + 0.1 × Q = 6400
⇒ 6Q + 10Q = 640000
⇒ 16Q = 640000
⇒ Q = 64,000/16
⇒ Q = 40,000
Now, total sales to achieve an earning of Rs. 7600
⇒ 10,000 + 40,000
⇒ 50,000
Rs. 50,000 should be the value of sales if he wants to earn Rs. 7600 in a particular month.