1. **Problem (a):** Saima buys a fridge and a freezer during a 15% off sale. The total amount paid is 57120. The freezer's original price is 40000. Find the fridge's original price.
2. **Formula:** Total price after discount = (Original price of fridge + Original price of freezer) \times (1 - Discount rate)
3. **Step 1:** Let the fridge's original price be $x$.
4. **Step 2:** The total original price is $x + 40000$.
5. **Step 3:** After 15% discount, the price paid is $0.85(x + 40000) = 57120$.
6. **Step 4:** Solve for $x$:
$$0.85(x + 40000) = 57120$$
$$\Rightarrow x + 40000 = \frac{57120}{0.85}$$
$$\Rightarrow x + 40000 = 67200$$
$$\Rightarrow x = 67200 - 40000 = 27200$$
7. **Answer (a):** The fridge's original price was 27200.
1. **Problem (b):** Mr. Rasheed pays a deposit of 60000 and 36 equal monthly payments. Total paid is 127% of 3360000. Find monthly payment.
2. **Formula:** Total paid = Deposit + 36 \times Monthly payment
3. **Step 1:** Calculate total amount paid:
$$127\% \times 3360000 = 1.27 \times 3360000 = 4267200$$
4. **Step 2:** Let monthly payment be $m$.
5. **Step 3:** Set up equation:
$$60000 + 36m = 4267200$$
6. **Step 4:** Solve for $m$:
$$36m = 4267200 - 60000 = 4207200$$
$$m = \frac{4207200}{36} = 116866.67$$
7. **Answer (b):** Monthly payment is 116866.67.
1. **Problem (c):** Divide 600 among A, B, C so that:
- 40 more than 2/5 of A's share =
- 20 more than 2/7 of B's share =
- 10 more than 9/17 of C's share.
2. **Step 1:** Let A's share = $a$, B's share = $b$, C's share = $c$.
3. **Step 2:** Set equal expressions:
$$40 + \frac{2}{5}a = 20 + \frac{2}{7}b = 10 + \frac{9}{17}c = k$$
4. **Step 3:** Express $a$, $b$, $c$ in terms of $k$:
$$a = \frac{5}{2}(k - 40)$$
$$b = \frac{7}{2}(k - 20)$$
$$c = \frac{17}{9}(k - 10)$$
5. **Step 4:** Sum of shares:
$$a + b + c = 600$$
$$\Rightarrow \frac{5}{2}(k - 40) + \frac{7}{2}(k - 20) + \frac{17}{9}(k - 10) = 600$$
6. **Step 5:** Multiply both sides by 18 (LCM of denominators 2 and 9):
$$18 \times \left( \frac{5}{2}(k - 40) + \frac{7}{2}(k - 20) + \frac{17}{9}(k - 10) \right) = 18 \times 600$$
$$45(k - 40) + 63(k - 20) + 34(k - 10) = 10800$$
7. **Step 6:** Expand:
$$45k - 1800 + 63k - 1260 + 34k - 340 = 10800$$
$$142k - 3400 = 10800$$
8. **Step 7:** Solve for $k$:
$$142k = 10800 + 3400 = 14200$$
$$k = \frac{14200}{142} = 100$$
9. **Step 8:** Calculate shares:
$$a = \frac{5}{2}(100 - 40) = \frac{5}{2} \times 60 = 150$$
$$b = \frac{7}{2}(100 - 20) = \frac{7}{2} \times 80 = 280$$
$$c = \frac{17}{9}(100 - 10) = \frac{17}{9} \times 90 = 170$$
10. **Answer (c):** A = 150, B = 280, C = 170.
1. **Problem (d):** Find correct words from jumbled spellings:
(i) TEANAIRM
(ii) VAGNACEXETRA
(iii) VADIELTIONC
(iv) PkUNYBARTC
(v) TAESROSNС
2. **Step 1:** Unscramble each:
(i) TEANAIRM = MARINEAT (likely intended MARINATE)
(ii) VAGNACEXETRA = EXTRAVAGANCE
(iii) VADIELTIONC = VALIDCTION (likely VALIDATION)
(iv) PkUNYBARTC = BANKRUPTCY
(v) TAESROSNС = SEASONTS (likely SEASONS)
3. **Answer (d):** (i) MARINATE, (ii) EXTRAVAGANCE, (iii) VALIDATION, (iv) BANKRUPTCY, (v) SEASONS
Sale Fridge 010Cf7
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.