Saved Bookmarks
| 1. |
A person working in sales department draws Rs. y as basic salary. Further he gets 10% as commission for every penny more than 1 lakh brought in as sales. He also gets 20% as bonus for every penny more than 2 lakhs he brought in as sales. For a particular sales amount, he receives Rs. 50000 as total salary whereas he would have received only Rs. 15000 for half the sale amount. What is the value of y?1. 100002. 150003. 180004. 200005. 24000 |
|
Answer» Correct Answer - Option 1 : 10000 Let the sales he made be Rs. x If sales are less than 1 lakh, he would have received only basic pay which should be same for half the sales. ∴ Sales > 1 lakh Let us assume 200000 > x > 100000 Half the sales will be less than 100000 ∴ Salary received them = Basic pay = Rs. 15000 Salary received for sale of Rs. x = Basic pay + Commission of 10% ⇒ 50000 = 15000 + (x – 100000) × 10/100 [∵ Commission is paid on every penny above 1 lakh] ⇒ x = 450000 It contradicts the assumption Let us assume x > 200000 Salary received = Basic pay + Commission of 10% + Bonus of 20% ⇒ 50000 = y + (x – 100000) × 10/100 + (x – 200000) × 20/100 100000 = y + 0.3x ---- 1 Maximum value of x = 100000/0.3 = Rs. 33333 1/3 ∴ Half of sales is always less than Rs. 200000 ∴ No bonus is paid when sales is halved ⇒ 15000 = y + 10/100 × (x/2 – 100000) ⇒ 25000 = y + 0.05x ---- 2 Equation 1 – Equation 2 ⇒ 75000 = 0.25x ⇒ x = 300000 Substituting in equation 1 ⇒ y = Rs. 10000 ∴ The value of y is Rs. 10000. |
|