Percentages · Topic 6 of 6

🧾 Commission & Tiered Rates

1 exam question type, fully solved

Commission and bonus problems split the total into bands, and each band is charged at its own rate.

Work band by band

Apply the first rate to the first slab, the next rate to the next slab, then add the pieces — never one single rate on the whole amount.

• The base for a later rate is only the amount left after the earlier slabs, so the “rest” = total − (all earlier slabs).

• If the slabs do not cover the full total, the uncovered part earns nothing unless a rate is stated for it.

Shortcut: when every slab is the same size, just add the rates and apply once.

💼Slab CommissionEach band, its own rate

total sale ₹

slab 1 up to ₹

rate %

slab 2 up to ₹

rate %

above that — rate %

the sale, cut at the slab boundaries

@5%

@3%

@1%

first ₹10,000 @ 5% = ₹500 next ₹10,000 (₹10,000 → ₹20,000) @ 3% = ₹300 above ₹20,000: ₹30,000 @ 1% = ₹300 Total = 500 + 300 + 300 = ₹1,100

Total commission = ₹1,100

⚠️ Trap — one flat rate on the whole amount. Each rate only touches its own band, never the full sale.

flat 1% × ₹50,000

₹500 ✗

slab by slab

₹1,100 ✓

5% of the first ₹10,000 = ₹.

Q12% commission on sales of ₹3,50,000 is:

Q25% on first ₹10,000 and 2% on the rest, sales ₹30,000. Commission:

Q3A bonus is 10% on the first ₹5,000 only. Sales ₹8,000. Bonus:

📚

Real exam questions — Commission & Tiered Rates

1 question types · 4 solved examples from real SSC papers

Slab problems charge each band at its own rate — never one rate on the whole amount.

How to solve this type

Tiered or slab problems split the total into bands, and each band is charged at its own rate — never apply a single rate to the whole amount. Work band by band from the bottom: apply the first rate to the first slab, the next rate to the next slab, and so on, then add the pieces. The base for a later rate is only the amount left after the earlier slabs are removed, so the "rest" or "remaining" part is the total minus every slab before it. If the slabs do not add up to the full total, any uncovered amount earns nothing unless a rate is stated for it. Shortcut: when all the slabs are the same size, just add the rates and apply that single percentage to one slab.

Commission: 3% up to ₹50,000; 2% on the next ₹50,000; 1% on the rest. Total sales = ₹1,50,000. Find the commission.

A₹3,000B₹3,500C₹4,000D₹4,500

An agent earns 2% on the first ₹2,00,000, 1.5% on the next ₹2,00,000 and 1% on the rest. Sales = ₹5,68,000. Find the commission.

A₹7,105B₹7,730C₹8,240D₹8,680

Commission: 5% on the first ₹10,000; 3% on the next ₹10,000; 1% on the rest. Total sales = ₹50,000. Find the commission.

A₹900B₹1,100C₹1,300D₹1,500

A worker gets a bonus of 10% on the first ₹5,000 of sales and 20% on the next ₹5,000. Sales = ₹15,000. Find the bonus.

A₹1,500B₹2,000C₹2,500D₹3,000