Read the information given below carefully and answer the question that follows:

Aditi, a salesgirl is appointed at a basic salary of ₹ 1200 per month. The condition of employment further stated that for every sale of ₹ 10000 or above she does, she will get 50 % of basic salary and 10 % of the sales as special incentive. However, this incentive scheme shall not work on the first ₹ 10000 of sales made. What should be the value of sales if Aditi wants to earn ₹ 7600 in a particular month?

Aditi's salary structure:

Basic Salary $= ₹1200$ (fixed, always paid)

If total sales are $₹10,000$ or more, she additionally gets:

• Bonus $= 50\%$ of basic salary $= 0.5 \times 1200 = ₹600$
• Commission $= 10\%$ of sales above $₹10,000$

The first $₹10,000$ of sales earns no bonus and no commission.

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Aditi wants to earn $₹7600$ in total.

Since $₹7600$ is much more than just the basic salary of $₹1200$, she must be getting the special incentive. This means her sales must be at least $₹10,000$.

Let total sales $= S$

Since $S \geq ₹10,000$:

Total Earning $=$ Basic Salary $+$ Bonus $+$ Commission

Total Earning $1200+600\times\frac{(S-10000)}{10000}+0.1\times(S-10000)=7600$

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To make this easier, let's substitute $X = S - 10000$ since this expression appears twice.

The equation becomes:

$1200 + 600 \times \frac{X}{10000} + 0.1 \times X = 7600$

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Simplify the fraction $\frac{600X}{10000}$:

$\frac{600X}{10000} = \frac{6X}{100} = 0.06X$

So our equation is now:

$1200 + 0.06X + 0.1X = 7600$

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Combine the $X$ terms:

$0.06X + 0.1X = 0.16X$

This gives us:

$1200 + 0.16X = 7600$

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Subtract $1200$ from both sides:

$0.16X = 7600 - 1200$

$0.16X = 6400$

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Divide both sides by $0.16$:

$X = \frac{6400}{0.16}$

$X = 40000$

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Recall that $X = S - 10000$, so:

$S - 10000 = 40000$

$S = 40000 + 10000$

$S = 50000$

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Verify by substituting $S = 50000$ back into the original equation:

$1200 + 600 \times \frac{40000}{10000} + 0.1 \times 40000$

$= 1200 + 600 \times 4 + 4000$

$= 1200 + 2400 + 4000$

$= 7600$ ✓

Final Answer: $S = 50000$

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Therefore, Aditi needs to make sales worth $₹50,000$ to earn $₹7600$ in that month.