pushpitkc wrote:

Jack's monthly remuneration includes a fixed salary and a fixed commission per consignment sold. This commission reduces by x% per consignment after the first 50 by another x% (on the 51-100 commission rate) after the first 100 consignments. In January, the remuneration was $4000 on sale of 30 consignments; in February, the remuneration was $6000 on sale of 50 consignments; in March, the remuneration was $7200 on sale of 70 consignments. If, in April, Jack sold 120 consignments, what shall be his remuneration?

A. $13000

B. $11400

C. $10200

D. $9720

E. $9400

Source :

Experts GlobalMonth - Total Comp - Total Numbers sold

Jan - 4000 - 30

Feb - 6000 - 50

Mar - 7200 - 70

Apr - ???? - 120

Commission % percentage Slabs

Full Commission - 1 to 50

X% reduction - 51 to 100

X% further reduction - 101 onwards

Fix component is common/constant in all months. So, the increase is happening only because of commission.

Jan - 4000 - 30

Feb - 6000 - 50

Total Comp. difference 2000

Total Consign. difference 20

Per Consignment commission = 100

so, Jan Commission is 30*3 = 3000

Jan Total = 4000 So, fixed component is 1000.

Again

Jan - 4000 - 30 = 1000 + 3000 (upto 50)

Feb - 6000 - 50 = 1000 + 5000 (up to 50)

Mar - 7200 - 70 = 1000 + 5000 (up to 50) + 1200 (50 to 100)

In March, 20 additional consignments is earning only 1200. Means per consignment he earns 60.

So, X is 40% reduction from 100 to 60.

now for April

1000 + (50*100) (100 upto 50) + (50*60) (60 per consignment for 51 to 100) + (20 * 36) (40% reduction on 101 to 120)

Total = 9720

D