The table given below shows the information about five customers visited a store. All customers are awarded with reward points according to purchase they made. Read the table given below carefully and answer the questions given below. ![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759468976/aptidude_questions/smfcou0gsiqe2qthqnrn.png) Note – (i) Customer awarded rewards points according to the amount spent on store i.e., When price amount 10000 Rs, then reward amount = 200 (ii) Final amount on the bill = Original price – discount (iii) Per reward point = Re 1 (iv) Reward given on original price and non-member reward points is given on final amount. (v) Q, R and T each has membership of the store, while P and S do not have membership of store. (vi) Reward points received by R is 50% of the total rewards points received by T. Q purchased article A and paid Rs 12500 after discount. T purchased article B and paid Rs 4700 after discount. Find the difference between the original prices of articles A and B.

Question

The table given below shows the information about five customers visited a store. All customers are awarded with reward points according to purchase they made. Read the table given below carefully and answer the questions given below.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759468976/aptidude_questions/smfcou0gsiqe2qthqnrn.png)
Note – (i) Customer awarded rewards points according to the amount spent on store i.e., When price amount < 5000 Rs, then reward point = 50 When price amount between (5000 – 10000) Rs, then reward point = 100 When price amount > 10000 Rs, then reward amount = 200 (ii) Final amount on the bill = Original price – discount (iii) Per reward point = Re 1 (iv) Reward given on original price and non-member reward points is given on final amount. (v) Q, R and T each has membership of the store, while P and S do not have membership of store. (vi) Reward points received by R is 50% of the total rewards points received by T.
Q purchased article A and paid Rs 12500 after discount. T purchased article B and paid Rs 4700 after discount. Find the difference between the original prices of articles A and B.

Accepted Answer

**Solution:**

1. **Identify membership and reward points basis:**
   - Q and T are members, so their reward points are based on original price.
   - P and S are non-members, so their reward points are based on final amount.

2. **Reward points for Q and T:**
   - Since Q paid Rs 12500 after discount, and reward points for Q are 200 (because original price > 10000), reward points = 200.
   - Similarly, T paid Rs 4700 after discount, so reward points for T depend on original price.

3. **Calculate original price for Q:**
   - Let original price of Q be $O_Q$ and discount be $D_Q$.
   - Final amount = $O_Q - D_Q = 12500$.
   - Since Q is a member and reward points = 200, original price $O_Q > 10000$.

4. **Calculate original price for T:**
   - Let original price of T be $O_T$ and discount be $D_T$.
   - Final amount = $O_T - D_T = 4700$.
   - Reward points for T = 200 (since original price > 10000) or 100 (if between 5000 and 10000).

5. **Use the relation between R and T's reward points:**
   - Reward points of R = 50% of T's reward points.

6. **From the given data and conditions, solve for original prices:**
   - After calculations, original price of Q = Rs 20000
   - Original price of T = Rs 9000

7. **Find the difference:**
   $$20000 - 9000 = 11000$$

**Answer:** Rs 11000

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